Deck 6: Antiderivatives and Applications

ملء الشاشة (f)
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سؤال
Evaluate <strong>Evaluate   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px> .

A) <strong>Evaluate   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Evaluate   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Evaluate   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Evaluate   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
استخدم زر المسافة أو
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لقلب البطاقة.
سؤال
The graph of the derivative F' of a function F is shown. Assuming that F(20) = 10, estimate the maximum value attained by F. The graph of the derivative F' of a function F is shown. Assuming that F(20) = 10, estimate the maximum value attained by F.  <div style=padding-top: 35px>
سؤال
Find an antiderivative <strong>Find an antiderivative   of   such that   , for some constant a.</strong> A)   B)   C)   D)   <div style=padding-top: 35px> of <strong>Find an antiderivative   of   such that   , for some constant a.</strong> A)   B)   C)   D)   <div style=padding-top: 35px> such that <strong>Find an antiderivative   of   such that   , for some constant a.</strong> A)   B)   C)   D)   <div style=padding-top: 35px> , for some constant a.

A) <strong>Find an antiderivative   of   such that   , for some constant a.</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Find an antiderivative   of   such that   , for some constant a.</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Find an antiderivative   of   such that   , for some constant a.</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Find an antiderivative   of   such that   , for some constant a.</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Choose the function that would correspond to this graph of F'. <strong>Choose the function that would correspond to this graph of F'.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Choose the function that would correspond to this graph of F'.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Choose the function that would correspond to this graph of F'.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Choose the function that would correspond to this graph of F'.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Choose the function that would correspond to this graph of F'.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Find an antiderivative <strong>Find an antiderivative   of   such that   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px> of <strong>Find an antiderivative   of   such that   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px> such that <strong>Find an antiderivative   of   such that   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px> .

A) <strong>Find an antiderivative   of   such that   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Find an antiderivative   of   such that   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Find an antiderivative   of   such that   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Find an antiderivative   of   such that   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Evaluate <strong>Evaluate   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px> .

A) <strong>Evaluate   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Evaluate   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Evaluate   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Evaluate   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Suppose Suppose   and   . Find the value of   .<div style=padding-top: 35px> and Suppose   and   . Find the value of   .<div style=padding-top: 35px> . Find the value of Suppose   and   . Find the value of   .<div style=padding-top: 35px> .
سؤال
Given the graph: Given the graph:   Estimate the value of   to three decimal places.<div style=padding-top: 35px> Estimate the value of Given the graph:   Estimate the value of   to three decimal places.<div style=padding-top: 35px> to three decimal places.
سؤال
Suppose Suppose   and   . Estimate the value of   to 4 decimal places.<div style=padding-top: 35px> and Suppose   and   . Estimate the value of   to 4 decimal places.<div style=padding-top: 35px> . Estimate the value of Suppose   and   . Estimate the value of   to 4 decimal places.<div style=padding-top: 35px> to 4 decimal places.
سؤال
Choose the function that would correspond to this graph of F'. <strong>Choose the function that would correspond to this graph of F'.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Choose the function that would correspond to this graph of F'.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Choose the function that would correspond to this graph of F'.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Choose the function that would correspond to this graph of F'.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Choose the function that would correspond to this graph of F'.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
What is the antiderivative of <strong>What is the antiderivative of   ?</strong> A)   B)   C)   D)   <div style=padding-top: 35px> ?

A) <strong>What is the antiderivative of   ?</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>What is the antiderivative of   ?</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>What is the antiderivative of   ?</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>What is the antiderivative of   ?</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Evaluate <strong>Evaluate   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px> .

A) <strong>Evaluate   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Evaluate   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Evaluate   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Evaluate   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
What is the antiderivative of <strong>What is the antiderivative of   ?</strong> A)   B)   C)   D)   <div style=padding-top: 35px> ?

A) <strong>What is the antiderivative of   ?</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>What is the antiderivative of   ?</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>What is the antiderivative of   ?</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>What is the antiderivative of   ?</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Suppose Suppose   and   . Estimate the value of   to 4 decimal places.<div style=padding-top: 35px> and Suppose   and   . Estimate the value of   to 4 decimal places.<div style=padding-top: 35px> . Estimate the value of Suppose   and   . Estimate the value of   to 4 decimal places.<div style=padding-top: 35px> to 4 decimal places.
سؤال
Find the indefinite integral <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px> .

A) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
This figure shows the rate of change of F. This figure shows the rate of change of F.   Given that F(0) = 2, sketch the graph of F.<div style=padding-top: 35px> Given that F(0) = 2, sketch the graph of F.
سؤال
Suppose Suppose   and   . Find the value of   .<div style=padding-top: 35px> and Suppose   and   . Find the value of   .<div style=padding-top: 35px> . Find the value of Suppose   and   . Find the value of   .<div style=padding-top: 35px> .
سؤال
Find an antiderivative <strong>Find an antiderivative   of   such that   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px> of <strong>Find an antiderivative   of   such that   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px> such that <strong>Find an antiderivative   of   such that   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px> .

A) <strong>Find an antiderivative   of   such that   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Find an antiderivative   of   such that   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Find an antiderivative   of   such that   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Find an antiderivative   of   such that   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Find an antiderivative <strong>Find an antiderivative   with   and   , given that   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px> with <strong>Find an antiderivative   with   and   , given that   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px> and <strong>Find an antiderivative   with   and   , given that   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px> , given that <strong>Find an antiderivative   with   and   , given that   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px> .

A) <strong>Find an antiderivative   with   and   , given that   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Find an antiderivative   with   and   , given that   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Find an antiderivative   with   and   , given that   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Find an antiderivative   with   and   , given that   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
This figure shows the rate of change of F. This figure shows the rate of change of F.   Given that F(0) = 2, sketch the graph of F.<div style=padding-top: 35px> Given that F(0) = 2, sketch the graph of F.
سؤال
Evaluate Evaluate   . Round to 2 decimal places.<div style=padding-top: 35px> . Round to 2 decimal places.
سؤال
Evaluate Evaluate   .<div style=padding-top: 35px> .
سؤال
Find a possible antiderivative of <strong>Find a possible antiderivative of   , where a and b are constants.</strong> A)   B)   C)   D)   <div style=padding-top: 35px> , where a and b are constants.

A) <strong>Find a possible antiderivative of   , where a and b are constants.</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Find a possible antiderivative of   , where a and b are constants.</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Find a possible antiderivative of   , where a and b are constants.</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Find a possible antiderivative of   , where a and b are constants.</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Find an antiderivative of <strong>Find an antiderivative of   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px> .

A) <strong>Find an antiderivative of   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Find an antiderivative of   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Find an antiderivative of   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Find an antiderivative of   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Find the indefinite integral <strong>Find the indefinite integral   , where k is a constant.</strong> A)   B)   C)   D)   <div style=padding-top: 35px> , where k is a constant.

A) <strong>Find the indefinite integral   , where k is a constant.</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Find the indefinite integral   , where k is a constant.</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Find the indefinite integral   , where k is a constant.</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Find the indefinite integral   , where k is a constant.</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Find the indefinite integral <strong>Find the indefinite integral   , where k is a constant.</strong> A)   B)   C)   D)   <div style=padding-top: 35px> , where k is a constant.

A) <strong>Find the indefinite integral   , where k is a constant.</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Find the indefinite integral   , where k is a constant.</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Find the indefinite integral   , where k is a constant.</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Find the indefinite integral   , where k is a constant.</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Evaluate <strong>Evaluate   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px> .

A) <strong>Evaluate   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Evaluate   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Evaluate   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Evaluate   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Find the indefinite integral <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px> .

A) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Propellant is leaking out from the pressurized fuel tanks of the space shuttle, causing the pressure to decrease at a rate of Propellant is leaking out from the pressurized fuel tanks of the space shuttle, causing the pressure to decrease at a rate of   psi per second at time t in seconds. By how many psi has the pressure dropped during the first 30 seconds? Round to 2 decimal places.<div style=padding-top: 35px> psi per second at time t in seconds. By how many psi has the pressure dropped during the first 30 seconds? Round to 2 decimal places.
سؤال
Find the average value of Find the average value of   on the interval   to   .<div style=padding-top: 35px> on the interval Find the average value of   on the interval   to   .<div style=padding-top: 35px> to Find the average value of   on the interval   to   .<div style=padding-top: 35px> .
سؤال
Evaluate Evaluate   .<div style=padding-top: 35px> .
سؤال
Find the antiderivative of <strong>Find the antiderivative of   , where a and b are constants.</strong> A)   B)   C)   D)   <div style=padding-top: 35px> , where a and b are constants.

A) <strong>Find the antiderivative of   , where a and b are constants.</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Find the antiderivative of   , where a and b are constants.</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Find the antiderivative of   , where a and b are constants.</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Find the antiderivative of   , where a and b are constants.</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Find the indefinite integral <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px> .

A) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Evaluate <strong>Evaluate   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px> .

A) <strong>Evaluate   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Evaluate   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Evaluate   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Evaluate   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Use the Fundamental Theorem of Calculus to determine the value of b if the area under the graph of Use the Fundamental Theorem of Calculus to determine the value of b if the area under the graph of   between   and   is 8. Assume   .<div style=padding-top: 35px> between Use the Fundamental Theorem of Calculus to determine the value of b if the area under the graph of   between   and   is 8. Assume   .<div style=padding-top: 35px> and Use the Fundamental Theorem of Calculus to determine the value of b if the area under the graph of   between   and   is 8. Assume   .<div style=padding-top: 35px> is 8. Assume Use the Fundamental Theorem of Calculus to determine the value of b if the area under the graph of   between   and   is 8. Assume   .<div style=padding-top: 35px> .
سؤال
Find an antiderivative F of <strong>Find an antiderivative F of   satisfying   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px> satisfying <strong>Find an antiderivative F of   satisfying   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px> .

A) <strong>Find an antiderivative F of   satisfying   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Find an antiderivative F of   satisfying   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Find an antiderivative F of   satisfying   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Find an antiderivative F of   satisfying   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Use a definite integral to find the area under the graph of Use a definite integral to find the area under the graph of   between   and   . Round to 2 decimal places.<div style=padding-top: 35px> between Use a definite integral to find the area under the graph of   between   and   . Round to 2 decimal places.<div style=padding-top: 35px> and Use a definite integral to find the area under the graph of   between   and   . Round to 2 decimal places.<div style=padding-top: 35px> . Round to 2 decimal places.
سؤال
Evaluate Evaluate   . Round to 2 decimal places.<div style=padding-top: 35px> . Round to 2 decimal places.
سؤال
Evaluate Evaluate   .<div style=padding-top: 35px> .
سؤال
Evaluate Evaluate   . Round to 2 decimal places.<div style=padding-top: 35px> . Round to 2 decimal places.
سؤال
Supply and demand curves for a product are shown in the following figure. Estimate the consumer surplus, to the nearest thousand dollars. Supply and demand curves for a product are shown in the following figure. Estimate the consumer surplus, to the nearest thousand dollars.  <div style=padding-top: 35px>
سؤال
The improper integral The improper integral   converges.<div style=padding-top: 35px> converges.
سؤال
The following figure shows the demand and supply curves for a product. Estimate the consumer surplus. <strong>The following figure shows the demand and supply curves for a product. Estimate the consumer surplus.  </strong> A)$1125 B)$1000 C)$400 D)$875 <div style=padding-top: 35px>

A)$1125
B)$1000
C)$400
D)$875
سؤال
Evaluate <strong>Evaluate   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px> .

A) <strong>Evaluate   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Evaluate   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Evaluate   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Evaluate   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
The following figure shows the demand and supply curves for a product. At an artificially imposed price of $12, estimate the consumer surplus. <strong>The following figure shows the demand and supply curves for a product. At an artificially imposed price of $12, estimate the consumer surplus.  </strong> A)$1125 B)$625 C)$825 D)$1300 <div style=padding-top: 35px>

A)$1125
B)$625
C)$825
D)$1300
سؤال
The improper integral The improper integral   converges for all positive values of p.<div style=padding-top: 35px> converges for all positive values of p.
سؤال
The improper integral The improper integral   diverges.<div style=padding-top: 35px> diverges.
سؤال
Fuel pressure in the fuel tanks of the space shuttle is decreasing at a rate of Fuel pressure in the fuel tanks of the space shuttle is decreasing at a rate of   psi per second at time t in seconds. By how many total psi has the pressure decreased during the first minute? Round to 2 decimal places.<div style=padding-top: 35px> psi per second at time t in seconds. By how many total psi has the pressure decreased during the first minute? Round to 2 decimal places.
سؤال
Evaluate <strong>Evaluate   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px> .

A) <strong>Evaluate   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Evaluate   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Evaluate   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Evaluate   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Find <strong>Find   .</strong> A)   B)   C)   D)   E)This improper integral diverges. <div style=padding-top: 35px> .

A) <strong>Find   .</strong> A)   B)   C)   D)   E)This improper integral diverges. <div style=padding-top: 35px>
B) <strong>Find   .</strong> A)   B)   C)   D)   E)This improper integral diverges. <div style=padding-top: 35px>
C) <strong>Find   .</strong> A)   B)   C)   D)   E)This improper integral diverges. <div style=padding-top: 35px>
D) <strong>Find   .</strong> A)   B)   C)   D)   E)This improper integral diverges. <div style=padding-top: 35px>
E)This improper integral diverges.
سؤال
The following figure shows the demand and supply curves for a product. At an artificially imposed price of $14, what quantity will consumers buy? <strong>The following figure shows the demand and supply curves for a product. At an artificially imposed price of $14, what quantity will consumers buy?  </strong> A)120 B)150 C)190 D)220 <div style=padding-top: 35px>

A)120
B)150
C)190
D)220
سؤال
If If   converges, find its value. Otherwise, enter DNC.<div style=padding-top: 35px> converges, find its value. Otherwise, enter "DNC".
سؤال
The following figure shows the demand and supply curves for a product. Estimate the equilibrium quantity. <strong>The following figure shows the demand and supply curves for a product. Estimate the equilibrium quantity.  </strong> A)0 B)140 C)250 D)400 <div style=padding-top: 35px>

A)0
B)140
C)250
D)400
سؤال
At time t hours after taking medication, the rate at which the medication is being eliminated from the body is given by At time t hours after taking medication, the rate at which the medication is being eliminated from the body is given by   mg/hr. Assuming that all of the medication is eventually eliminated, how many mg was the original dose?<div style=padding-top: 35px> mg/hr. Assuming that all of the medication is eventually eliminated, how many mg was the original dose?
سؤال
Supply and demand curves for a product are shown in the following figure. Estimate the equilibrium quantity. Supply and demand curves for a product are shown in the following figure. Estimate the equilibrium quantity.  <div style=padding-top: 35px>
سؤال
A. Use the Fundamental Theorem to find A. Use the Fundamental Theorem to find   for a constant   . B. Take the limit of your answer to part (A) as   to find   .<div style=padding-top: 35px> for a constant A. Use the Fundamental Theorem to find   for a constant   . B. Take the limit of your answer to part (A) as   to find   .<div style=padding-top: 35px> .
B. Take the limit of your answer to part (A) as A. Use the Fundamental Theorem to find   for a constant   . B. Take the limit of your answer to part (A) as   to find   .<div style=padding-top: 35px> to find A. Use the Fundamental Theorem to find   for a constant   . B. Take the limit of your answer to part (A) as   to find   .<div style=padding-top: 35px> .
سؤال
The following figure shows the demand and supply curves for a product. Estimate the total gains from trade. <strong>The following figure shows the demand and supply curves for a product. Estimate the total gains from trade.  </strong> A)$1400 B)$2000 C)$1275 D)$2125 <div style=padding-top: 35px>

A)$1400
B)$2000
C)$1275
D)$2125
سؤال
If If   converges, find its value. Otherwise, enter DNC.<div style=padding-top: 35px> converges, find its value. Otherwise, enter "DNC".
سؤال
If If   converges, find its value. Otherwise, enter DNC.<div style=padding-top: 35px> converges, find its value. Otherwise, enter "DNC".
سؤال
Compute <strong>Compute   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px> .

A) <strong>Compute   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Compute   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Compute   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Compute   .</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
The supply and demand curves for a product have equations <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for producer surplus?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> and <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for producer surplus?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> , respectively, with equilibrium at <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for producer surplus?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . Which of the following is a formula for producer surplus?

A) <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for producer surplus?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for producer surplus?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for producer surplus?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for producer surplus?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for producer surplus?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Supply and demand curves for a medical equipment product are given in the graph below. Supply and demand curves for a medical equipment product are given in the graph below.   a) Estimate the equilibrium price and quantity. b) Estimate the producer surplus. c) Estimate the total gains from trade for this piece of equipment.<div style=padding-top: 35px> a) Estimate the equilibrium price and quantity.
b) Estimate the producer surplus.
c) Estimate the total gains from trade for this piece of equipment.
سؤال
You are considering buying a salt water chlorinator for your swimming pool. The equipment costs $1300, and you estimate that you will save $250 per year with the saltwater system. Will the chlorinator pay for itself in 6 years (i.e. will the present value of the cost of the chemicals equal or exceed the cost of the chlorinator)? Assume an annual interest rate of 7%, compounded continuously. Answer "yes" or "no".
سؤال
The supply and demand curves for a product have equations <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for total gains from trade?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> and <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for total gains from trade?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> , respectively, with equilibrium at <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for total gains from trade?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . Which of the following is a formula for total gains from trade?

A) <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for total gains from trade?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for total gains from trade?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for total gains from trade?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for total gains from trade?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for total gains from trade?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Supply and demand curves for an item of medical equipment are shown in the graph below. In order to compete with a new product by a rival company, the price is temporarily lowered to $20,000. What is the reduction (from equilibrium) in producer surplus that results from this artificially low price? <strong>Supply and demand curves for an item of medical equipment are shown in the graph below. In order to compete with a new product by a rival company, the price is temporarily lowered to $20,000. What is the reduction (from equilibrium) in producer surplus that results from this artificially low price?  </strong> A)The producer surplus is reduced by $ 48,000. B)The producer surplus is reduced by $ 59,000 C)The producer surplus is unaffected. D)The producer surplus is reduced by $ 36,000 <div style=padding-top: 35px>

A)The producer surplus is reduced by $ 48,000.
B)The producer surplus is reduced by $ 59,000
C)The producer surplus is unaffected.
D)The producer surplus is reduced by $ 36,000
سؤال
A consultant expects an income stream of $15,000 per year for the next 8 years.
A. Find the present value of this income stream if the interest rate is 2% per year, compounded continuously.
B. Find the future value of this income stream under the same conditions.
سؤال
The demand curve for a product has equation The demand curve for a product has equation   , and the supply curve has equation   for   , where q is quantity and p is the price per unit. At an artificially high price of $27, find the quantity consumers are willing to purchase and the quantity producers are willing to supply. Use this information to calculate the producer surplus at this price, to the nearest dollar.<div style=padding-top: 35px> , and the supply curve has equation The demand curve for a product has equation   , and the supply curve has equation   for   , where q is quantity and p is the price per unit. At an artificially high price of $27, find the quantity consumers are willing to purchase and the quantity producers are willing to supply. Use this information to calculate the producer surplus at this price, to the nearest dollar.<div style=padding-top: 35px> for The demand curve for a product has equation   , and the supply curve has equation   for   , where q is quantity and p is the price per unit. At an artificially high price of $27, find the quantity consumers are willing to purchase and the quantity producers are willing to supply. Use this information to calculate the producer surplus at this price, to the nearest dollar.<div style=padding-top: 35px> , where q is quantity and p is the price per unit. At an artificially high price of $27, find the quantity consumers are willing to purchase and the quantity producers are willing to supply. Use this information to calculate the producer surplus at this price, to the nearest dollar.
سؤال
The supply and demand curves for a product have equations <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Suppose an artificially high price of   is imposed, with the resulting consumer demand of   . Which of the following is a formula for the change in total gains from trade caused by the artificial price?</strong> A)   B)   C)   D)   <div style=padding-top: 35px> and <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Suppose an artificially high price of   is imposed, with the resulting consumer demand of   . Which of the following is a formula for the change in total gains from trade caused by the artificial price?</strong> A)   B)   C)   D)   <div style=padding-top: 35px> , respectively, with equilibrium at <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Suppose an artificially high price of   is imposed, with the resulting consumer demand of   . Which of the following is a formula for the change in total gains from trade caused by the artificial price?</strong> A)   B)   C)   D)   <div style=padding-top: 35px> . Suppose an artificially high price of <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Suppose an artificially high price of   is imposed, with the resulting consumer demand of   . Which of the following is a formula for the change in total gains from trade caused by the artificial price?</strong> A)   B)   C)   D)   <div style=padding-top: 35px> is imposed, with the resulting consumer demand of <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Suppose an artificially high price of   is imposed, with the resulting consumer demand of   . Which of the following is a formula for the change in total gains from trade caused by the artificial price?</strong> A)   B)   C)   D)   <div style=padding-top: 35px> . Which of the following is a formula for the change in total gains from trade caused by the artificial price?

A) <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Suppose an artificially high price of   is imposed, with the resulting consumer demand of   . Which of the following is a formula for the change in total gains from trade caused by the artificial price?</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Suppose an artificially high price of   is imposed, with the resulting consumer demand of   . Which of the following is a formula for the change in total gains from trade caused by the artificial price?</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Suppose an artificially high price of   is imposed, with the resulting consumer demand of   . Which of the following is a formula for the change in total gains from trade caused by the artificial price?</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Suppose an artificially high price of   is imposed, with the resulting consumer demand of   . Which of the following is a formula for the change in total gains from trade caused by the artificial price?</strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Supply and demand curves for a product are given by the equations
Demand: Supply and demand curves for a product are given by the equations Demand:   Supply:   where p is price in dollars and q is quantity. Find the equilibrium price.<div style=padding-top: 35px> Supply: Supply and demand curves for a product are given by the equations Demand:   Supply:   where p is price in dollars and q is quantity. Find the equilibrium price.<div style=padding-top: 35px> where p is price in dollars and q is quantity. Find the equilibrium price.
سؤال
Supply and demand curves for a product are shown in the following figure. Suppose an artificially low price of $300 is imposed. Estimate the total gains from trade now, to the nearest 500 dollars. Supply and demand curves for a product are shown in the following figure. Suppose an artificially low price of $300 is imposed. Estimate the total gains from trade now, to the nearest 500 dollars.  <div style=padding-top: 35px>
سؤال
Supply and demand curves for a product are given by the equations
Demand: Supply and demand curves for a product are given by the equations Demand:   Supply:   where p is price in dollars and q is quantity. Compute the producer surplus. Round to the nearest cent.<div style=padding-top: 35px> Supply: Supply and demand curves for a product are given by the equations Demand:   Supply:   where p is price in dollars and q is quantity. Compute the producer surplus. Round to the nearest cent.<div style=padding-top: 35px> where p is price in dollars and q is quantity. Compute the producer surplus. Round to the nearest cent.
سؤال
The supply and demand curves for a product have equations <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for consumer surplus?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> and <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for consumer surplus?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> , respectively, with equilibrium at <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for consumer surplus?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> . Which of the following is a formula for consumer surplus?

A) <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for consumer surplus?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for consumer surplus?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for consumer surplus?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for consumer surplus?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for consumer surplus?</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
A. Find the present value of an income stream of $1000 per year for a period of 5 years if the interest rate is 8%. Round to the nearest dollar.
B. Find the future value of this income stream. Round to the nearest dollar.
سؤال
Supply and demand data are given in the following tables. Supply and demand data are given in the following tables.     What is the equilibrium price?<div style=padding-top: 35px> Supply and demand data are given in the following tables.     What is the equilibrium price?<div style=padding-top: 35px> What is the equilibrium price?
سؤال
What is the present value of an income stream of $1000 per year for 10 years with an annual interest rate of 10%, compounded continuously? Round to the nearest dollar.
سؤال
Supply and demand data are given in the following tables. Supply and demand data are given in the following tables.     Estimate the consumer surplus.<div style=padding-top: 35px> Supply and demand data are given in the following tables.     Estimate the consumer surplus.<div style=padding-top: 35px> Estimate the consumer surplus.
سؤال
From the time a child is born until he is 18, a father plans to set aside $100 times the child's current age each year. Find the present value of this income stream, given an interest rate of 7% compounded continuously. Round to the nearest dollar.
سؤال
The demand curve for a product has equation The demand curve for a product has equation   , and the supply curve has equation   for   , where q is quantity and p is the price per unit. Use a calculator to find the equilibrium price and quantity, and use this information to calculate the consumer surplus, to the nearest dollar.<div style=padding-top: 35px> , and the supply curve has equation The demand curve for a product has equation   , and the supply curve has equation   for   , where q is quantity and p is the price per unit. Use a calculator to find the equilibrium price and quantity, and use this information to calculate the consumer surplus, to the nearest dollar.<div style=padding-top: 35px> for The demand curve for a product has equation   , and the supply curve has equation   for   , where q is quantity and p is the price per unit. Use a calculator to find the equilibrium price and quantity, and use this information to calculate the consumer surplus, to the nearest dollar.<div style=padding-top: 35px> , where q is quantity and p is the price per unit. Use a calculator to find the equilibrium price and quantity, and use this information to calculate the consumer surplus, to the nearest dollar.
سؤال
Supply and demand data are given in the following tables. <strong>Supply and demand data are given in the following tables.     Which table shows demand?</strong> A)The first one B)The second one <div style=padding-top: 35px> <strong>Supply and demand data are given in the following tables.     Which table shows demand?</strong> A)The first one B)The second one <div style=padding-top: 35px> Which table shows demand?

A)The first one
B)The second one
سؤال
At what constant, continuous annual rate should you deposit money into an account if you want to have $1,000,000 in 20 years? The account earns 5% interest, compounded continuously. Round to the nearest dollar.
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Deck 6: Antiderivatives and Applications
1
Evaluate <strong>Evaluate   .</strong> A)   B)   C)   D)   .

A) <strong>Evaluate   .</strong> A)   B)   C)   D)
B) <strong>Evaluate   .</strong> A)   B)   C)   D)
C) <strong>Evaluate   .</strong> A)   B)   C)   D)
D) <strong>Evaluate   .</strong> A)   B)   C)   D)
2
The graph of the derivative F' of a function F is shown. Assuming that F(20) = 10, estimate the maximum value attained by F. The graph of the derivative F' of a function F is shown. Assuming that F(20) = 10, estimate the maximum value attained by F.
364.167 (answers may vary)
3
Find an antiderivative <strong>Find an antiderivative   of   such that   , for some constant a.</strong> A)   B)   C)   D)   of <strong>Find an antiderivative   of   such that   , for some constant a.</strong> A)   B)   C)   D)   such that <strong>Find an antiderivative   of   such that   , for some constant a.</strong> A)   B)   C)   D)   , for some constant a.

A) <strong>Find an antiderivative   of   such that   , for some constant a.</strong> A)   B)   C)   D)
B) <strong>Find an antiderivative   of   such that   , for some constant a.</strong> A)   B)   C)   D)
C) <strong>Find an antiderivative   of   such that   , for some constant a.</strong> A)   B)   C)   D)
D) <strong>Find an antiderivative   of   such that   , for some constant a.</strong> A)   B)   C)   D)
4
Choose the function that would correspond to this graph of F'. <strong>Choose the function that would correspond to this graph of F'.  </strong> A)   B)   C)   D)

A) <strong>Choose the function that would correspond to this graph of F'.  </strong> A)   B)   C)   D)
B) <strong>Choose the function that would correspond to this graph of F'.  </strong> A)   B)   C)   D)
C) <strong>Choose the function that would correspond to this graph of F'.  </strong> A)   B)   C)   D)
D) <strong>Choose the function that would correspond to this graph of F'.  </strong> A)   B)   C)   D)
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5
Find an antiderivative <strong>Find an antiderivative   of   such that   .</strong> A)   B)   C)   D)   of <strong>Find an antiderivative   of   such that   .</strong> A)   B)   C)   D)   such that <strong>Find an antiderivative   of   such that   .</strong> A)   B)   C)   D)   .

A) <strong>Find an antiderivative   of   such that   .</strong> A)   B)   C)   D)
B) <strong>Find an antiderivative   of   such that   .</strong> A)   B)   C)   D)
C) <strong>Find an antiderivative   of   such that   .</strong> A)   B)   C)   D)
D) <strong>Find an antiderivative   of   such that   .</strong> A)   B)   C)   D)
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6
Evaluate <strong>Evaluate   .</strong> A)   B)   C)   D)   .

A) <strong>Evaluate   .</strong> A)   B)   C)   D)
B) <strong>Evaluate   .</strong> A)   B)   C)   D)
C) <strong>Evaluate   .</strong> A)   B)   C)   D)
D) <strong>Evaluate   .</strong> A)   B)   C)   D)
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7
Suppose Suppose   and   . Find the value of   . and Suppose   and   . Find the value of   . . Find the value of Suppose   and   . Find the value of   . .
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8
Given the graph: Given the graph:   Estimate the value of   to three decimal places. Estimate the value of Given the graph:   Estimate the value of   to three decimal places. to three decimal places.
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9
Suppose Suppose   and   . Estimate the value of   to 4 decimal places. and Suppose   and   . Estimate the value of   to 4 decimal places. . Estimate the value of Suppose   and   . Estimate the value of   to 4 decimal places. to 4 decimal places.
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10
Choose the function that would correspond to this graph of F'. <strong>Choose the function that would correspond to this graph of F'.  </strong> A)   B)   C)   D)

A) <strong>Choose the function that would correspond to this graph of F'.  </strong> A)   B)   C)   D)
B) <strong>Choose the function that would correspond to this graph of F'.  </strong> A)   B)   C)   D)
C) <strong>Choose the function that would correspond to this graph of F'.  </strong> A)   B)   C)   D)
D) <strong>Choose the function that would correspond to this graph of F'.  </strong> A)   B)   C)   D)
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11
What is the antiderivative of <strong>What is the antiderivative of   ?</strong> A)   B)   C)   D)   ?

A) <strong>What is the antiderivative of   ?</strong> A)   B)   C)   D)
B) <strong>What is the antiderivative of   ?</strong> A)   B)   C)   D)
C) <strong>What is the antiderivative of   ?</strong> A)   B)   C)   D)
D) <strong>What is the antiderivative of   ?</strong> A)   B)   C)   D)
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12
Evaluate <strong>Evaluate   .</strong> A)   B)   C)   D)   .

A) <strong>Evaluate   .</strong> A)   B)   C)   D)
B) <strong>Evaluate   .</strong> A)   B)   C)   D)
C) <strong>Evaluate   .</strong> A)   B)   C)   D)
D) <strong>Evaluate   .</strong> A)   B)   C)   D)
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13
What is the antiderivative of <strong>What is the antiderivative of   ?</strong> A)   B)   C)   D)   ?

A) <strong>What is the antiderivative of   ?</strong> A)   B)   C)   D)
B) <strong>What is the antiderivative of   ?</strong> A)   B)   C)   D)
C) <strong>What is the antiderivative of   ?</strong> A)   B)   C)   D)
D) <strong>What is the antiderivative of   ?</strong> A)   B)   C)   D)
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14
Suppose Suppose   and   . Estimate the value of   to 4 decimal places. and Suppose   and   . Estimate the value of   to 4 decimal places. . Estimate the value of Suppose   and   . Estimate the value of   to 4 decimal places. to 4 decimal places.
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15
Find the indefinite integral <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   .

A) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)
B) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)
C) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)
D) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)
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16
This figure shows the rate of change of F. This figure shows the rate of change of F.   Given that F(0) = 2, sketch the graph of F. Given that F(0) = 2, sketch the graph of F.
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17
Suppose Suppose   and   . Find the value of   . and Suppose   and   . Find the value of   . . Find the value of Suppose   and   . Find the value of   . .
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افتح القفل للوصول البطاقات البالغ عددها 122 في هذه المجموعة.
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18
Find an antiderivative <strong>Find an antiderivative   of   such that   .</strong> A)   B)   C)   D)   of <strong>Find an antiderivative   of   such that   .</strong> A)   B)   C)   D)   such that <strong>Find an antiderivative   of   such that   .</strong> A)   B)   C)   D)   .

A) <strong>Find an antiderivative   of   such that   .</strong> A)   B)   C)   D)
B) <strong>Find an antiderivative   of   such that   .</strong> A)   B)   C)   D)
C) <strong>Find an antiderivative   of   such that   .</strong> A)   B)   C)   D)
D) <strong>Find an antiderivative   of   such that   .</strong> A)   B)   C)   D)
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افتح القفل للوصول البطاقات البالغ عددها 122 في هذه المجموعة.
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19
Find an antiderivative <strong>Find an antiderivative   with   and   , given that   .</strong> A)   B)   C)   D)   with <strong>Find an antiderivative   with   and   , given that   .</strong> A)   B)   C)   D)   and <strong>Find an antiderivative   with   and   , given that   .</strong> A)   B)   C)   D)   , given that <strong>Find an antiderivative   with   and   , given that   .</strong> A)   B)   C)   D)   .

A) <strong>Find an antiderivative   with   and   , given that   .</strong> A)   B)   C)   D)
B) <strong>Find an antiderivative   with   and   , given that   .</strong> A)   B)   C)   D)
C) <strong>Find an antiderivative   with   and   , given that   .</strong> A)   B)   C)   D)
D) <strong>Find an antiderivative   with   and   , given that   .</strong> A)   B)   C)   D)
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20
This figure shows the rate of change of F. This figure shows the rate of change of F.   Given that F(0) = 2, sketch the graph of F. Given that F(0) = 2, sketch the graph of F.
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21
Evaluate Evaluate   . Round to 2 decimal places. . Round to 2 decimal places.
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22
Evaluate Evaluate   . .
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افتح القفل للوصول البطاقات البالغ عددها 122 في هذه المجموعة.
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23
Find a possible antiderivative of <strong>Find a possible antiderivative of   , where a and b are constants.</strong> A)   B)   C)   D)   , where a and b are constants.

A) <strong>Find a possible antiderivative of   , where a and b are constants.</strong> A)   B)   C)   D)
B) <strong>Find a possible antiderivative of   , where a and b are constants.</strong> A)   B)   C)   D)
C) <strong>Find a possible antiderivative of   , where a and b are constants.</strong> A)   B)   C)   D)
D) <strong>Find a possible antiderivative of   , where a and b are constants.</strong> A)   B)   C)   D)
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24
Find an antiderivative of <strong>Find an antiderivative of   .</strong> A)   B)   C)   D)   .

A) <strong>Find an antiderivative of   .</strong> A)   B)   C)   D)
B) <strong>Find an antiderivative of   .</strong> A)   B)   C)   D)
C) <strong>Find an antiderivative of   .</strong> A)   B)   C)   D)
D) <strong>Find an antiderivative of   .</strong> A)   B)   C)   D)
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افتح القفل للوصول البطاقات البالغ عددها 122 في هذه المجموعة.
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25
Find the indefinite integral <strong>Find the indefinite integral   , where k is a constant.</strong> A)   B)   C)   D)   , where k is a constant.

A) <strong>Find the indefinite integral   , where k is a constant.</strong> A)   B)   C)   D)
B) <strong>Find the indefinite integral   , where k is a constant.</strong> A)   B)   C)   D)
C) <strong>Find the indefinite integral   , where k is a constant.</strong> A)   B)   C)   D)
D) <strong>Find the indefinite integral   , where k is a constant.</strong> A)   B)   C)   D)
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26
Find the indefinite integral <strong>Find the indefinite integral   , where k is a constant.</strong> A)   B)   C)   D)   , where k is a constant.

A) <strong>Find the indefinite integral   , where k is a constant.</strong> A)   B)   C)   D)
B) <strong>Find the indefinite integral   , where k is a constant.</strong> A)   B)   C)   D)
C) <strong>Find the indefinite integral   , where k is a constant.</strong> A)   B)   C)   D)
D) <strong>Find the indefinite integral   , where k is a constant.</strong> A)   B)   C)   D)
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27
Evaluate <strong>Evaluate   .</strong> A)   B)   C)   D)   .

A) <strong>Evaluate   .</strong> A)   B)   C)   D)
B) <strong>Evaluate   .</strong> A)   B)   C)   D)
C) <strong>Evaluate   .</strong> A)   B)   C)   D)
D) <strong>Evaluate   .</strong> A)   B)   C)   D)
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افتح القفل للوصول البطاقات البالغ عددها 122 في هذه المجموعة.
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28
Find the indefinite integral <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   .

A) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)
B) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)
C) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)
D) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)
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افتح القفل للوصول البطاقات البالغ عددها 122 في هذه المجموعة.
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29
Propellant is leaking out from the pressurized fuel tanks of the space shuttle, causing the pressure to decrease at a rate of Propellant is leaking out from the pressurized fuel tanks of the space shuttle, causing the pressure to decrease at a rate of   psi per second at time t in seconds. By how many psi has the pressure dropped during the first 30 seconds? Round to 2 decimal places. psi per second at time t in seconds. By how many psi has the pressure dropped during the first 30 seconds? Round to 2 decimal places.
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30
Find the average value of Find the average value of   on the interval   to   . on the interval Find the average value of   on the interval   to   . to Find the average value of   on the interval   to   . .
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31
Evaluate Evaluate   . .
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افتح القفل للوصول البطاقات البالغ عددها 122 في هذه المجموعة.
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32
Find the antiderivative of <strong>Find the antiderivative of   , where a and b are constants.</strong> A)   B)   C)   D)   , where a and b are constants.

A) <strong>Find the antiderivative of   , where a and b are constants.</strong> A)   B)   C)   D)
B) <strong>Find the antiderivative of   , where a and b are constants.</strong> A)   B)   C)   D)
C) <strong>Find the antiderivative of   , where a and b are constants.</strong> A)   B)   C)   D)
D) <strong>Find the antiderivative of   , where a and b are constants.</strong> A)   B)   C)   D)
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افتح القفل للوصول البطاقات البالغ عددها 122 في هذه المجموعة.
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33
Find the indefinite integral <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)   .

A) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)
B) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)
C) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)
D) <strong>Find the indefinite integral   .</strong> A)   B)   C)   D)
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افتح القفل للوصول البطاقات البالغ عددها 122 في هذه المجموعة.
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34
Evaluate <strong>Evaluate   .</strong> A)   B)   C)   D)   .

A) <strong>Evaluate   .</strong> A)   B)   C)   D)
B) <strong>Evaluate   .</strong> A)   B)   C)   D)
C) <strong>Evaluate   .</strong> A)   B)   C)   D)
D) <strong>Evaluate   .</strong> A)   B)   C)   D)
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افتح القفل للوصول البطاقات البالغ عددها 122 في هذه المجموعة.
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35
Use the Fundamental Theorem of Calculus to determine the value of b if the area under the graph of Use the Fundamental Theorem of Calculus to determine the value of b if the area under the graph of   between   and   is 8. Assume   . between Use the Fundamental Theorem of Calculus to determine the value of b if the area under the graph of   between   and   is 8. Assume   . and Use the Fundamental Theorem of Calculus to determine the value of b if the area under the graph of   between   and   is 8. Assume   . is 8. Assume Use the Fundamental Theorem of Calculus to determine the value of b if the area under the graph of   between   and   is 8. Assume   . .
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36
Find an antiderivative F of <strong>Find an antiderivative F of   satisfying   .</strong> A)   B)   C)   D)   satisfying <strong>Find an antiderivative F of   satisfying   .</strong> A)   B)   C)   D)   .

A) <strong>Find an antiderivative F of   satisfying   .</strong> A)   B)   C)   D)
B) <strong>Find an antiderivative F of   satisfying   .</strong> A)   B)   C)   D)
C) <strong>Find an antiderivative F of   satisfying   .</strong> A)   B)   C)   D)
D) <strong>Find an antiderivative F of   satisfying   .</strong> A)   B)   C)   D)
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37
Use a definite integral to find the area under the graph of Use a definite integral to find the area under the graph of   between   and   . Round to 2 decimal places. between Use a definite integral to find the area under the graph of   between   and   . Round to 2 decimal places. and Use a definite integral to find the area under the graph of   between   and   . Round to 2 decimal places. . Round to 2 decimal places.
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افتح القفل للوصول البطاقات البالغ عددها 122 في هذه المجموعة.
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38
Evaluate Evaluate   . Round to 2 decimal places. . Round to 2 decimal places.
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افتح القفل للوصول البطاقات البالغ عددها 122 في هذه المجموعة.
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39
Evaluate Evaluate   . .
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افتح القفل للوصول البطاقات البالغ عددها 122 في هذه المجموعة.
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40
Evaluate Evaluate   . Round to 2 decimal places. . Round to 2 decimal places.
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افتح القفل للوصول البطاقات البالغ عددها 122 في هذه المجموعة.
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41
Supply and demand curves for a product are shown in the following figure. Estimate the consumer surplus, to the nearest thousand dollars. Supply and demand curves for a product are shown in the following figure. Estimate the consumer surplus, to the nearest thousand dollars.
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42
The improper integral The improper integral   converges. converges.
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43
The following figure shows the demand and supply curves for a product. Estimate the consumer surplus. <strong>The following figure shows the demand and supply curves for a product. Estimate the consumer surplus.  </strong> A)$1125 B)$1000 C)$400 D)$875

A)$1125
B)$1000
C)$400
D)$875
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44
Evaluate <strong>Evaluate   .</strong> A)   B)   C)   D)   .

A) <strong>Evaluate   .</strong> A)   B)   C)   D)
B) <strong>Evaluate   .</strong> A)   B)   C)   D)
C) <strong>Evaluate   .</strong> A)   B)   C)   D)
D) <strong>Evaluate   .</strong> A)   B)   C)   D)
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افتح القفل للوصول البطاقات البالغ عددها 122 في هذه المجموعة.
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45
The following figure shows the demand and supply curves for a product. At an artificially imposed price of $12, estimate the consumer surplus. <strong>The following figure shows the demand and supply curves for a product. At an artificially imposed price of $12, estimate the consumer surplus.  </strong> A)$1125 B)$625 C)$825 D)$1300

A)$1125
B)$625
C)$825
D)$1300
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46
The improper integral The improper integral   converges for all positive values of p. converges for all positive values of p.
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47
The improper integral The improper integral   diverges. diverges.
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48
Fuel pressure in the fuel tanks of the space shuttle is decreasing at a rate of Fuel pressure in the fuel tanks of the space shuttle is decreasing at a rate of   psi per second at time t in seconds. By how many total psi has the pressure decreased during the first minute? Round to 2 decimal places. psi per second at time t in seconds. By how many total psi has the pressure decreased during the first minute? Round to 2 decimal places.
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افتح القفل للوصول البطاقات البالغ عددها 122 في هذه المجموعة.
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49
Evaluate <strong>Evaluate   .</strong> A)   B)   C)   D)   .

A) <strong>Evaluate   .</strong> A)   B)   C)   D)
B) <strong>Evaluate   .</strong> A)   B)   C)   D)
C) <strong>Evaluate   .</strong> A)   B)   C)   D)
D) <strong>Evaluate   .</strong> A)   B)   C)   D)
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50
Find <strong>Find   .</strong> A)   B)   C)   D)   E)This improper integral diverges. .

A) <strong>Find   .</strong> A)   B)   C)   D)   E)This improper integral diverges.
B) <strong>Find   .</strong> A)   B)   C)   D)   E)This improper integral diverges.
C) <strong>Find   .</strong> A)   B)   C)   D)   E)This improper integral diverges.
D) <strong>Find   .</strong> A)   B)   C)   D)   E)This improper integral diverges.
E)This improper integral diverges.
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افتح القفل للوصول البطاقات البالغ عددها 122 في هذه المجموعة.
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51
The following figure shows the demand and supply curves for a product. At an artificially imposed price of $14, what quantity will consumers buy? <strong>The following figure shows the demand and supply curves for a product. At an artificially imposed price of $14, what quantity will consumers buy?  </strong> A)120 B)150 C)190 D)220

A)120
B)150
C)190
D)220
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52
If If   converges, find its value. Otherwise, enter DNC. converges, find its value. Otherwise, enter "DNC".
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افتح القفل للوصول البطاقات البالغ عددها 122 في هذه المجموعة.
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53
The following figure shows the demand and supply curves for a product. Estimate the equilibrium quantity. <strong>The following figure shows the demand and supply curves for a product. Estimate the equilibrium quantity.  </strong> A)0 B)140 C)250 D)400

A)0
B)140
C)250
D)400
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54
At time t hours after taking medication, the rate at which the medication is being eliminated from the body is given by At time t hours after taking medication, the rate at which the medication is being eliminated from the body is given by   mg/hr. Assuming that all of the medication is eventually eliminated, how many mg was the original dose? mg/hr. Assuming that all of the medication is eventually eliminated, how many mg was the original dose?
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55
Supply and demand curves for a product are shown in the following figure. Estimate the equilibrium quantity. Supply and demand curves for a product are shown in the following figure. Estimate the equilibrium quantity.
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56
A. Use the Fundamental Theorem to find A. Use the Fundamental Theorem to find   for a constant   . B. Take the limit of your answer to part (A) as   to find   . for a constant A. Use the Fundamental Theorem to find   for a constant   . B. Take the limit of your answer to part (A) as   to find   . .
B. Take the limit of your answer to part (A) as A. Use the Fundamental Theorem to find   for a constant   . B. Take the limit of your answer to part (A) as   to find   . to find A. Use the Fundamental Theorem to find   for a constant   . B. Take the limit of your answer to part (A) as   to find   . .
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57
The following figure shows the demand and supply curves for a product. Estimate the total gains from trade. <strong>The following figure shows the demand and supply curves for a product. Estimate the total gains from trade.  </strong> A)$1400 B)$2000 C)$1275 D)$2125

A)$1400
B)$2000
C)$1275
D)$2125
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افتح القفل للوصول البطاقات البالغ عددها 122 في هذه المجموعة.
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58
If If   converges, find its value. Otherwise, enter DNC. converges, find its value. Otherwise, enter "DNC".
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افتح القفل للوصول البطاقات البالغ عددها 122 في هذه المجموعة.
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59
If If   converges, find its value. Otherwise, enter DNC. converges, find its value. Otherwise, enter "DNC".
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افتح القفل للوصول البطاقات البالغ عددها 122 في هذه المجموعة.
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60
Compute <strong>Compute   .</strong> A)   B)   C)   D)   .

A) <strong>Compute   .</strong> A)   B)   C)   D)
B) <strong>Compute   .</strong> A)   B)   C)   D)
C) <strong>Compute   .</strong> A)   B)   C)   D)
D) <strong>Compute   .</strong> A)   B)   C)   D)
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افتح القفل للوصول البطاقات البالغ عددها 122 في هذه المجموعة.
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61
The supply and demand curves for a product have equations <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for producer surplus?</strong> A)   B)   C)   D)   E)   and <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for producer surplus?</strong> A)   B)   C)   D)   E)   , respectively, with equilibrium at <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for producer surplus?</strong> A)   B)   C)   D)   E)   . Which of the following is a formula for producer surplus?

A) <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for producer surplus?</strong> A)   B)   C)   D)   E)
B) <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for producer surplus?</strong> A)   B)   C)   D)   E)
C) <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for producer surplus?</strong> A)   B)   C)   D)   E)
D) <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for producer surplus?</strong> A)   B)   C)   D)   E)
E) <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for producer surplus?</strong> A)   B)   C)   D)   E)
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62
Supply and demand curves for a medical equipment product are given in the graph below. Supply and demand curves for a medical equipment product are given in the graph below.   a) Estimate the equilibrium price and quantity. b) Estimate the producer surplus. c) Estimate the total gains from trade for this piece of equipment. a) Estimate the equilibrium price and quantity.
b) Estimate the producer surplus.
c) Estimate the total gains from trade for this piece of equipment.
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63
You are considering buying a salt water chlorinator for your swimming pool. The equipment costs $1300, and you estimate that you will save $250 per year with the saltwater system. Will the chlorinator pay for itself in 6 years (i.e. will the present value of the cost of the chemicals equal or exceed the cost of the chlorinator)? Assume an annual interest rate of 7%, compounded continuously. Answer "yes" or "no".
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64
The supply and demand curves for a product have equations <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for total gains from trade?</strong> A)   B)   C)   D)   E)   and <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for total gains from trade?</strong> A)   B)   C)   D)   E)   , respectively, with equilibrium at <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for total gains from trade?</strong> A)   B)   C)   D)   E)   . Which of the following is a formula for total gains from trade?

A) <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for total gains from trade?</strong> A)   B)   C)   D)   E)
B) <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for total gains from trade?</strong> A)   B)   C)   D)   E)
C) <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for total gains from trade?</strong> A)   B)   C)   D)   E)
D) <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for total gains from trade?</strong> A)   B)   C)   D)   E)
E) <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for total gains from trade?</strong> A)   B)   C)   D)   E)
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65
Supply and demand curves for an item of medical equipment are shown in the graph below. In order to compete with a new product by a rival company, the price is temporarily lowered to $20,000. What is the reduction (from equilibrium) in producer surplus that results from this artificially low price? <strong>Supply and demand curves for an item of medical equipment are shown in the graph below. In order to compete with a new product by a rival company, the price is temporarily lowered to $20,000. What is the reduction (from equilibrium) in producer surplus that results from this artificially low price?  </strong> A)The producer surplus is reduced by $ 48,000. B)The producer surplus is reduced by $ 59,000 C)The producer surplus is unaffected. D)The producer surplus is reduced by $ 36,000

A)The producer surplus is reduced by $ 48,000.
B)The producer surplus is reduced by $ 59,000
C)The producer surplus is unaffected.
D)The producer surplus is reduced by $ 36,000
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66
A consultant expects an income stream of $15,000 per year for the next 8 years.
A. Find the present value of this income stream if the interest rate is 2% per year, compounded continuously.
B. Find the future value of this income stream under the same conditions.
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67
The demand curve for a product has equation The demand curve for a product has equation   , and the supply curve has equation   for   , where q is quantity and p is the price per unit. At an artificially high price of $27, find the quantity consumers are willing to purchase and the quantity producers are willing to supply. Use this information to calculate the producer surplus at this price, to the nearest dollar. , and the supply curve has equation The demand curve for a product has equation   , and the supply curve has equation   for   , where q is quantity and p is the price per unit. At an artificially high price of $27, find the quantity consumers are willing to purchase and the quantity producers are willing to supply. Use this information to calculate the producer surplus at this price, to the nearest dollar. for The demand curve for a product has equation   , and the supply curve has equation   for   , where q is quantity and p is the price per unit. At an artificially high price of $27, find the quantity consumers are willing to purchase and the quantity producers are willing to supply. Use this information to calculate the producer surplus at this price, to the nearest dollar. , where q is quantity and p is the price per unit. At an artificially high price of $27, find the quantity consumers are willing to purchase and the quantity producers are willing to supply. Use this information to calculate the producer surplus at this price, to the nearest dollar.
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68
The supply and demand curves for a product have equations <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Suppose an artificially high price of   is imposed, with the resulting consumer demand of   . Which of the following is a formula for the change in total gains from trade caused by the artificial price?</strong> A)   B)   C)   D)   and <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Suppose an artificially high price of   is imposed, with the resulting consumer demand of   . Which of the following is a formula for the change in total gains from trade caused by the artificial price?</strong> A)   B)   C)   D)   , respectively, with equilibrium at <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Suppose an artificially high price of   is imposed, with the resulting consumer demand of   . Which of the following is a formula for the change in total gains from trade caused by the artificial price?</strong> A)   B)   C)   D)   . Suppose an artificially high price of <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Suppose an artificially high price of   is imposed, with the resulting consumer demand of   . Which of the following is a formula for the change in total gains from trade caused by the artificial price?</strong> A)   B)   C)   D)   is imposed, with the resulting consumer demand of <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Suppose an artificially high price of   is imposed, with the resulting consumer demand of   . Which of the following is a formula for the change in total gains from trade caused by the artificial price?</strong> A)   B)   C)   D)   . Which of the following is a formula for the change in total gains from trade caused by the artificial price?

A) <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Suppose an artificially high price of   is imposed, with the resulting consumer demand of   . Which of the following is a formula for the change in total gains from trade caused by the artificial price?</strong> A)   B)   C)   D)
B) <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Suppose an artificially high price of   is imposed, with the resulting consumer demand of   . Which of the following is a formula for the change in total gains from trade caused by the artificial price?</strong> A)   B)   C)   D)
C) <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Suppose an artificially high price of   is imposed, with the resulting consumer demand of   . Which of the following is a formula for the change in total gains from trade caused by the artificial price?</strong> A)   B)   C)   D)
D) <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Suppose an artificially high price of   is imposed, with the resulting consumer demand of   . Which of the following is a formula for the change in total gains from trade caused by the artificial price?</strong> A)   B)   C)   D)
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69
Supply and demand curves for a product are given by the equations
Demand: Supply and demand curves for a product are given by the equations Demand:   Supply:   where p is price in dollars and q is quantity. Find the equilibrium price. Supply: Supply and demand curves for a product are given by the equations Demand:   Supply:   where p is price in dollars and q is quantity. Find the equilibrium price. where p is price in dollars and q is quantity. Find the equilibrium price.
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70
Supply and demand curves for a product are shown in the following figure. Suppose an artificially low price of $300 is imposed. Estimate the total gains from trade now, to the nearest 500 dollars. Supply and demand curves for a product are shown in the following figure. Suppose an artificially low price of $300 is imposed. Estimate the total gains from trade now, to the nearest 500 dollars.
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71
Supply and demand curves for a product are given by the equations
Demand: Supply and demand curves for a product are given by the equations Demand:   Supply:   where p is price in dollars and q is quantity. Compute the producer surplus. Round to the nearest cent. Supply: Supply and demand curves for a product are given by the equations Demand:   Supply:   where p is price in dollars and q is quantity. Compute the producer surplus. Round to the nearest cent. where p is price in dollars and q is quantity. Compute the producer surplus. Round to the nearest cent.
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72
The supply and demand curves for a product have equations <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for consumer surplus?</strong> A)   B)   C)   D)   E)   and <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for consumer surplus?</strong> A)   B)   C)   D)   E)   , respectively, with equilibrium at <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for consumer surplus?</strong> A)   B)   C)   D)   E)   . Which of the following is a formula for consumer surplus?

A) <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for consumer surplus?</strong> A)   B)   C)   D)   E)
B) <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for consumer surplus?</strong> A)   B)   C)   D)   E)
C) <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for consumer surplus?</strong> A)   B)   C)   D)   E)
D) <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for consumer surplus?</strong> A)   B)   C)   D)   E)
E) <strong>The supply and demand curves for a product have equations   and   , respectively, with equilibrium at   . Which of the following is a formula for consumer surplus?</strong> A)   B)   C)   D)   E)
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73
A. Find the present value of an income stream of $1000 per year for a period of 5 years if the interest rate is 8%. Round to the nearest dollar.
B. Find the future value of this income stream. Round to the nearest dollar.
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74
Supply and demand data are given in the following tables. Supply and demand data are given in the following tables.     What is the equilibrium price? Supply and demand data are given in the following tables.     What is the equilibrium price? What is the equilibrium price?
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75
What is the present value of an income stream of $1000 per year for 10 years with an annual interest rate of 10%, compounded continuously? Round to the nearest dollar.
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76
Supply and demand data are given in the following tables. Supply and demand data are given in the following tables.     Estimate the consumer surplus. Supply and demand data are given in the following tables.     Estimate the consumer surplus. Estimate the consumer surplus.
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77
From the time a child is born until he is 18, a father plans to set aside $100 times the child's current age each year. Find the present value of this income stream, given an interest rate of 7% compounded continuously. Round to the nearest dollar.
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78
The demand curve for a product has equation The demand curve for a product has equation   , and the supply curve has equation   for   , where q is quantity and p is the price per unit. Use a calculator to find the equilibrium price and quantity, and use this information to calculate the consumer surplus, to the nearest dollar. , and the supply curve has equation The demand curve for a product has equation   , and the supply curve has equation   for   , where q is quantity and p is the price per unit. Use a calculator to find the equilibrium price and quantity, and use this information to calculate the consumer surplus, to the nearest dollar. for The demand curve for a product has equation   , and the supply curve has equation   for   , where q is quantity and p is the price per unit. Use a calculator to find the equilibrium price and quantity, and use this information to calculate the consumer surplus, to the nearest dollar. , where q is quantity and p is the price per unit. Use a calculator to find the equilibrium price and quantity, and use this information to calculate the consumer surplus, to the nearest dollar.
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79
Supply and demand data are given in the following tables. <strong>Supply and demand data are given in the following tables.     Which table shows demand?</strong> A)The first one B)The second one <strong>Supply and demand data are given in the following tables.     Which table shows demand?</strong> A)The first one B)The second one Which table shows demand?

A)The first one
B)The second one
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80
At what constant, continuous annual rate should you deposit money into an account if you want to have $1,000,000 in 20 years? The account earns 5% interest, compounded continuously. Round to the nearest dollar.
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