تكلم مع الذكاء الاصطناعي
Deck 9: Derivatives
ملء الشاشة (f)
سؤال
Use the graph of 
and the given c-value to find 
. 
A) 4
B) 0
C) 2
D) -6
E) does not exist
and the given c-value to find . A) 4
B) 0
C) 2
D) -6
E) does not exist
سؤال
A graph of 
is shown and a c-value is given. For this problem, use the graph to find 
. 
A) 5
B) -15
C) 0
D) 15
E) does not exist
is shown and a c-value is given. For this problem, use the graph to find . A) 5
B) -15
C) 0
D) 15
E) does not exist
سؤال
A graph of 
is shown and a c-value is given. For this problem, use the graph to find 
. 
A) 0
B) 5
C) -5
D) -6
E) does not exist
is shown and a c-value is given. For this problem, use the graph to find . A) 0
B) 5
C) -5
D) -6
E) does not exist
سؤال
A graph of 
is shown and a c-value is given. For this problem, use the graph to find 
. 
A) 0
B) 2
C) -4
D) -6
E) does not exist
is shown and a c-value is given. For this problem, use the graph to find . A) 0
B) 2
C) -4
D) -6
E) does not exist
سؤال
Use the graph of 
and the given c-value to find 
. 
A) 2
B) -2
C) 6
D) 0
E) does not exist
and the given c-value to find . A) 2
B) -2
C) 6
D) 0
E) does not exist
سؤال
Use properties of limits and algebraic methods to find the limit, if it exists. 
A) -45
B) 54
C) 45
D) -54
E) does not exist
A) -45
B) 54
C) 45
D) -54
E) does not exist
سؤال
Complete the table and use it to predict the limit, if it exists. 
A) -5
B) 5
C) -4
D) 4
E) does not exist
A) -5
B) 5
C) -4
D) 4
E) does not exist
سؤال
A graph of 
is shown and a c-value is given. For this problem, use the graph to find 
. 
A) 5
B) 0
C) -15
D) 15
E) does not exist
is shown and a c-value is given. For this problem, use the graph to find . A) 5
B) 0
C) -15
D) 15
E) does not exist
سؤال
Use properties of limits and algebraic methods to find 
if the limit exists.
A) 0
B) 10
C) ∞
D) -10
E) 5
if the limit exists. A) 0
B) 10
C) ∞
D) -10
E) 5
سؤال
Use the graph of 
and the given c-value to find 
. 
A) -8
B) -6
C) 3
D) -4
E) does not exist
and the given c-value to find . A) -8
B) -6
C) 3
D) -4
E) does not exist
سؤال
Use the graph of 
and the given c-value to find 
. 
A) -6
B) 0
C) 8
D) 2
E) does not exist
and the given c-value to find . A) -6
B) 0
C) 8
D) 2
E) does not exist
سؤال
Complete the table and use it to predict the limit, if it exists. 
A) 44.0
B) -22.0
C) 22.0
D) -0.5
E) does not exist
A) 44.0
B) -22.0
C) 22.0
D) -0.5
E) does not exist
سؤال
Use properties of limits and algebraic methods to find the limit, if it exists. 
A) 63
B) 65
C) 60
D) 68
E) does not exist
A) 63
B) 65
C) 60
D) 68
E) does not exist
سؤال
Use the graph of 
and the given c-value to find 
. 
A) -6
B) 0
C) 2
D) 6
E) does not exist
and the given c-value to find . A) -6
B) 0
C) 2
D) 6
E) does not exist
سؤال
Use properties of limits and algebraic methods to find the limit, if it exists. 
A)
B)
C)
D)
E) does not exist
A)
B)
C)
D)
E) does not exist
سؤال
Use properties of limits and algebraic methods to find the limit, if it exists. 
A) 
B)
C)
D)
E) does not exist
A)
B)
C)
D)
E) does not exist
سؤال
Use the graph of 
and the given c-value to find 
. 
A) -6
B) -5
C) -1
D) 3
E) does not exist
and the given c-value to find . A) -6
B) -5
C) -1
D) 3
E) does not exist
سؤال
Use properties of limits and algebraic methods to find the limit, if it exists. 
A)
B) -3
C)
D)
E) does not exist
A)
B) -3
C)
D)
E) does not exist
سؤال
Use the graph of 
and the given c-value to find 
. 
A) -6
B) -9
C) -1
D) 3
E) does not exist
and the given c-value to find . A) -6
B) -9
C) -1
D) 3
E) does not exist
سؤال
Use the graph of 
and the given c-value to find 
. 
A) -6
B) -7
C) 3
D) -5
E) does not exist
and the given c-value to find . A) -6
B) -7
C) 3
D) -5
E) does not exist
سؤال
If 
and 
, find 
.
A)
B)
C) -10
D)
E) does not exist
and , find . A)
B)
C) -10
D)
E) does not exist
سؤال
Determine whether the function is continuous or discontinuous at the given x-value. 
A) continuous
B) discontinuous
A) continuous
B) discontinuous
سؤال
For the given x-value, use the figure to determine whether the function is continuous or discontinuous at that x-value. 
A) discontinuous
B) continuous
A) discontinuous
B) continuous
سؤال
If 
and 
, find 
.
A) 20
B) 6
C) -2
D) -14
E) does not exist
and , find . A) 20
B) 6
C) -2
D) -14
E) does not exist
سؤال
Determine whether the given function is continuous. If it is not, identify where it is discontinuous. 
A) discontinuous at
B) discontinuous at
C) discontinuous at
D) discontinuous at
E) continuous everywhere
A) discontinuous at
B) discontinuous at
C) discontinuous at
D) discontinuous at
E) continuous everywhere
سؤال
Use properties of limits and algebraic methods to find the limit, if it exists. 
A) 0
B) -2
C) 2
D) 7
E) does not exist
A) 0
B) -2
C) 2
D) 7
E) does not exist
سؤال
Suppose that the cost C in dollars of obtaining water that contains p percent impurities is given by 
. Find 
, if it exists.
A) $0
B) $13
C) $117
D) $1,300
E) does not exist
. Find , if it exists. A) $0
B) $13
C) $117
D) $1,300
E) does not exist
سؤال
A certain calling card costs 6.1 cents per minute to make a call, rounded up to the nearest minute. However, when the card is used at a pay phone, there is an additional 61 cent connection fee. If 
is the charge from a pay phone for a call lasting t minutes, create a table of charges for calls lasting close to 1 minute and use it to find the following limit, if it exists. Round your answer to the nearest cent. 
A) $0
B) $0.61
C) $0.73
D) $0.67
E) does not exist
is the charge from a pay phone for a call lasting t minutes, create a table of charges for calls lasting close to 1 minute and use it to find the following limit, if it exists. Round your answer to the nearest cent. A) $0
B) $0.61
C) $0.73
D) $0.67
E) does not exist
سؤال
Use properties of limits and algebraic methods to find the limit, if it exists. 
A) 0
B)
C)
D)
E) does not exist
A) 0
B)
C)
D)
E) does not exist
سؤال
A certain calling card costs 5.2 cents per minute to make a call, rounded up to the nearest minute. However, when the card is used at a pay phone, there is an additional 52 cent connection fee. If 
is the charge from a pay phone for a call lasting t minutes, create a table of charges for calls lasting close to 1 minute and use it to find the following limit, if it exists. Round your answer to the nearest cent. 
A) $0
B) $0.45
C) $0.57
D) $0.44
E) does not exist
is the charge from a pay phone for a call lasting t minutes, create a table of charges for calls lasting close to 1 minute and use it to find the following limit, if it exists. Round your answer to the nearest cent. A) $0
B) $0.45
C) $0.57
D) $0.44
E) does not exist
سؤال
Graph the function with a graphing utility and use it to predict the limit. Check your work either by using the table feature of the graphing utility or by finding the limit algebraically. 
A)
B) 18
C)
D) 0
E) does not exist
A)
B) 18
C)
D) 0
E) does not exist
سؤال
Graph the function with a graphing utility and use it to predict the limit. Check your work either by using the table feature of the graphing utility or by finding the limit algebraically. 
A) 10
B) 3
C)
D) 0
E) does not exist
A) 10
B) 3
C)
D) 0
E) does not exist
سؤال
If 
and 
, find 
.
A) -106
B) -96
C) -81
D) 0
E) does not exist
and , find . A) -106
B) -96
C) -81
D) 0
E) does not exist
سؤال
A certain calling card costs 6.8 cents per minute to make a call, rounded up to the nearest minute. However, when the card is used at a pay phone, there is an additional 68 cent connection fee. If 
is the charge from a pay phone for a call lasting t minutes, create a table of charges for calls lasting close to 1 minute and use it to find the following limit, if it exists. Round your answer to the nearest cent. 
A) $0
B) $0.68
C) $0.75
D) $0.82
E) does not exist
is the charge from a pay phone for a call lasting t minutes, create a table of charges for calls lasting close to 1 minute and use it to find the following limit, if it exists. Round your answer to the nearest cent. A) $0
B) $0.68
C) $0.75
D) $0.82
E) does not exist
سؤال
Suppose that the cost C in dollars of obtaining water that contains p percent impurities is given by 
. Find 
, if it exists.
A) $0
B) $20
C) $200
D) $2,000
E) does not exist
. Find , if it exists. A) $0
B) $20
C) $200
D) $2,000
E) does not exist
سؤال
Determine whether the function is continuous or discontinuous at the given x-value. 
A) discontinuous
B) continuous
A) discontinuous
B) continuous
سؤال
If the revenue for a product (in dollars) is 
, and the average revenue per unit is 
, 
, find 
.
A) $900 per unit
B) $0.7 per unit
C) $90 per unit
D) $0 per unit
E) does not exist
, and the average revenue per unit is , , find . A) $900 per unit
B) $0.7 per unit
C) $90 per unit
D) $0 per unit
E) does not exist
سؤال
Graph the function with a graphing utility and use it to predict the limit. Check your work either by using the table feature of the graphing utility or by finding the limit algebraically. 
A) 0
B) 9
C)
D)
E) does not exist
A) 0
B) 9
C)
D)
E) does not exist
سؤال
If the revenue for a product (in dollars) is 
and the average revenue per unit is 
, 
, find 
.
A) $520 per unit
B) $545 per unit
C) $530 per unit
D) $0 per unit
E) does not exist
and the average revenue per unit is , , find . A) $520 per unit
B) $545 per unit
C) $530 per unit
D) $0 per unit
E) does not exist
سؤال
If the profit function for a product is given by 
, find 
.
A) -3,600
B) -1,600
C) -2,725
D) -4,100
E) does not exist
, find . A) -3,600
B) -1,600
C) -2,725
D) -4,100
E) does not exist
سؤال
Suppose that the cost C of removing p percent of the particulate pollution from the exhaust gases at an industrial site is given by 
. Describe any discontinuities for C(p). Explain what each discontinuity means.
A) C(p) is discontinuous at
. This means that not all pollution can be removed.
B) C(p) is discontinuous at
. This means that none of the pollution can be removed.
C) C(p) is continuous everywhere.
D) C(p) is discontinuous at
. This means that not all pollution can be removed.
E) C(p) is discontinuous at
. This means that none of the pollution can be removed.
. Describe any discontinuities for C(p). Explain what each discontinuity means. A) C(p) is discontinuous at
. This means that not all pollution can be removed.B) C(p) is discontinuous at
. This means that none of the pollution can be removed.C) C(p) is continuous everywhere.
D) C(p) is discontinuous at
. This means that not all pollution can be removed.E) C(p) is discontinuous at
. This means that none of the pollution can be removed. سؤال
Use analytic methods to evaluate the limit and determine which type of asymptote (if any) it represents. You can verify your conclusion by graphing the function with a graphing utility, if one is available. 
A) limit = 10, horizontal asymptote
B) limit = 10, vertical asymptote
C) limit = 4, horizontal asymptote
D) limit = 4, vertical asymptote
E) does not exist, no asymptote
A) limit = 10, horizontal asymptote
B) limit = 10, vertical asymptote
C) limit = 4, horizontal asymptote
D) limit = 4, vertical asymptote
E) does not exist, no asymptote
سؤال
Suppose that the average number of minutes M that it takes a new employee to assemble one unit of a product is given by 
, where t is the number of days on the job. Is this function continuous for all 
, where t is the number of days on the job. Is this function continuous for all سؤال
Graph the function using a window with 
and 
. What does the graph indicate about 
A) -5
B) 5
C) 30
D) 0
E) does not exist
and . What does the graph indicate about A) -5
B) 5
C) 30
D) 0
E) does not exist
سؤال
Use analytic methods to find the limit as 
for the given function. 
A) -1500
B) 1500
C) -620
D) 620
E) does not exist
for the given function. A) -1500
B) 1500
C) -620
D) 620
E) does not exist
سؤال
Suppose that the average number of minutes M that it takes a new employee to assemble one unit of a product is given by 
, where t is the number of days on the job. What is the domain for this application?
A)
B)
C)
D)
E)
, where t is the number of days on the job. What is the domain for this application? A)
B)
C)
D)
E)
سؤال
Determine whether the given function is continuous. If it is not, identify where it is discontinuous and which condition fails to hold. You can verify your conclusions by graphing the function with a graphing utility, if one is available. 
A) discontinuous at
B) discontinuous at
C) discontinuous at
D) discontinuous at
E) continuous everywhere
A) discontinuous at
B) discontinuous at
C) discontinuous at
D) discontinuous at
E) continuous everywhere
سؤال
This problem contains a function and its graph, where 
. Use the graph to determine, as well as you can, 
. Check your conclusion by using the function to determine 
analytically. 
A) 3
B) 0
C) 4
D) 1
E) does not exist
. Use the graph to determine, as well as you can, . Check your conclusion by using the function to determine analytically. A) 3
B) 0
C) 4
D) 1
E) does not exist
سؤال
This problem contains a function and its graph, where 
. Use the graph to determine, as well as you can, the vertical asymptote. Check your conclusion by using the function to determine the vertical asymptote analytically. 
A)
B)
C)
D)
E) no vertical asymptote
. Use the graph to determine, as well as you can, the vertical asymptote. Check your conclusion by using the function to determine the vertical asymptote analytically. A)
B)
C)
D)
E) no vertical asymptote
سؤال
Determine whether the given function is continuous. If it is not, identify where it is discontinuous. You can verify your conclusions by graphing the function with a graphing utility, if one is available. 
A) discontinuous at
B) discontinuous at
C) discontinuous at
D) discontinuous at
E) continuous everywhere
A) discontinuous at
B) discontinuous at
C) discontinuous at
D) discontinuous at
E) continuous everywhere
سؤال
This problem contains a function and its graph, where 
. Use the graph to determine, as well as you can, the horizontal asymptote. Check your conclusion by using the function to determine the horizontal asymptote analytically. 
A)
B)
C)
D)
E)
. Use the graph to determine, as well as you can, the horizontal asymptote. Check your conclusion by using the function to determine the horizontal asymptote analytically. A)
B)
C)
D)
E)
سؤال
Use analytic methods to find the limit as 
for the given function. 
A) 920
B) 240
C) -920
D) -240
E) does not exist
for the given function. A) 920
B) 240
C) -920
D) -240
E) does not exist
سؤال
Use analytic methods to find any point of discontinuity for the given function. 
A)
B)
C)
D)
E) continuous everywhere
A)
B)
C)
D)
E) continuous everywhere
سؤال
Suppose that the average number of minutes M that it takes a new employee to assemble one unit of a product is given by 
, where t is the number of days on the job. Is this function continuous for all values of t?
, where t is the number of days on the job. Is this function continuous for all values of t? سؤال
Determine whether the given function 
is continuous. If 
is not continuous, identify where it is discontinuous and which condition(s) fails to hold.
A)
is discontinuous at 
since 
is not defined and 
does not exist.
B)
is discontinuous at 
since 
is not defined and 
does not exist.
C)
is discontinuous at 
since 
is not defined and 
does not exist.
D)
is continuous.
E)
is discontinuous at 
since 
is not defined and 
does not exist.
is continuous. If is not continuous, identify where it is discontinuous and which condition(s) fails to hold. A)
is discontinuous at since is not defined and does not exist.B)
is discontinuous at since is not defined and does not exist.C)
is discontinuous at since is not defined and does not exist.D)
is continuous.E)
is discontinuous at since is not defined and does not exist. سؤال
Use a table utility with x-values larger than 10,000 to investigate 
. What does the table indicate about 
? 
A) -3
B) 3
C) 6
D) 0
E) does not exist
. What does the table indicate about ? A) -3
B) 3
C) 6
D) 0
E) does not exist
سؤال
This problem contains a function and its graph, where 
. Use the graph to determine, as well as you can, 
. Check your conclusion by using the function to determine 
analytically. 
A) 4
B) 1
C) 3
D) 0
E) does not exist
. Use the graph to determine, as well as you can, . Check your conclusion by using the function to determine analytically. A) 4
B) 1
C) 3
D) 0
E) does not exist
سؤال
Use analytic methods to evaluate the limit and determine which type of asymptote (if any) it represents. You can verify your conclusion by graphing the function with a graphing utility, if one is available. 
A) limit = 0, vertical asymptote
B) limit = 0, horizontal asymptote
C) limit = 2, horizontal asymptote
D) limit = 2, vertical asymptote
E) does not exist
A) limit = 0, vertical asymptote
B) limit = 0, horizontal asymptote
C) limit = 2, horizontal asymptote
D) limit = 2, vertical asymptote
E) does not exist
سؤال
Use analytic methods to evaluate the limit and determine which type of asymptote (if any) it represents. You can verify your conclusion by graphing the function with a graphing utility, if one is available. 
A) limit = 4, vertical asymptote
B) limit = 8, horizontal asymptote
C) limit = 8, vertical asymptote
D) limit = 4, horizontal asymptote
E) does not exist
A) limit = 4, vertical asymptote
B) limit = 8, horizontal asymptote
C) limit = 8, vertical asymptote
D) limit = 4, horizontal asymptote
E) does not exist
سؤال
Suppose that the average number of minutes M that it takes a new employee to assemble one unit of a product is given by 
, where t is the number of days on the job. Is this function continuous at 
, where t is the number of days on the job. Is this function continuous at سؤال
For the function in this problem, approximate 
by using the numerical derivative feature of a graphing utility. Round your answer to three decimal places. 
A) -0.298
B) -0.421
C) -0.544
D) -0.187
E) -0.655
by using the numerical derivative feature of a graphing utility. Round your answer to three decimal places. A) -0.298
B) -0.421
C) -0.544
D) -0.187
E) -0.655
سؤال
For the given function, find the average rate of change over the specified interval. 
over 
A) 0
B) 4
C) 2
D) -17
E) 17
over A) 0
B) 4
C) 2
D) -17
E) 17
سؤال
For the function in this problem, find the instantaneous rate of change of the function at the given value. 
; 
A) 18
B) 6
C) 10
D) 14
E) 13
; A) 18
B) 6
C) 10
D) 14
E) 13
سؤال
The monthly charge in dollars for x kilowatt-hours (kWh) of electricity used by a residential consumer of Excelsior Electric Membership Corporation from November through June is given by the function 
.
Is C continuous at
?
.Is C continuous at
? سؤال
For the function in this problem, approximate 
near 
by graphing the function on a graphing utility. Then, zoom in near the point until the graph appears straight, pick two points, and find the slope of the line you see. Round your answer to four decimal places. 
A) -0.1641
B) -0.1698
C) -0.5411
D) -0.5102
E) -0.3735
near by graphing the function on a graphing utility. Then, zoom in near the point until the graph appears straight, pick two points, and find the slope of the line you see. Round your answer to four decimal places. A) -0.1641
B) -0.1698
C) -0.5411
D) -0.5102
E) -0.3735
سؤال
For the function in this problem, approximate 
near the point 
by graphing the function on a graphing utility. Then, zoom in near the point until the graph appears straight, pick two points, and find the slope of the line you see. Round your answer to three decimal places. 
A) 48.050
B) -9.000
C) -8.950
D) 50.970
E) -8.999
near the point by graphing the function on a graphing utility. Then, zoom in near the point until the graph appears straight, pick two points, and find the slope of the line you see. Round your answer to three decimal places. A) 48.050
B) -9.000
C) -8.950
D) 50.970
E) -8.999
سؤال
The tangent line to the graph of f (x) at 
is shown. On the tangent line, P is the point of tangency and A is another point on the line. Find the instantaneous rate of change of f (x) at P. 
A) -3
B) 2
C) 1
D) -4
E) does not exist
is shown. On the tangent line, P is the point of tangency and A is another point on the line. Find the instantaneous rate of change of f (x) at P. A) -3
B) 2
C) 1
D) -4
E) does not exist
سؤال
For the function in this problem, approximate 
by computing 
with 
. 
A) 72.9793
B) 73.0369
C) 73.0027
D) 73.1261
E) 72.8793
by computing with . A) 72.9793
B) 73.0369
C) 73.0027
D) 73.1261
E) 72.8793
سؤال
The tangent line to the graph of f (x) at 
is shown. On the tangent line, P is the point of tangency and A is another point on the line. Use the coordinates of P and A to find the slope of the tangent line. 
A) 2
B) 1
C) -4
D) 5
E) does not exist
is shown. On the tangent line, P is the point of tangency and A is another point on the line. Use the coordinates of P and A to find the slope of the tangent line. A) 2
B) 1
C) -4
D) 5
E) does not exist
سؤال
The monthly charge in dollars for x kilowatt-hours (kWh) of electricity used by a residential consumer of Excelsior Electric Membership Corporation from November through June is given by the function 
.
Is C continuous at
?
.Is C continuous at
?
سؤال
For the function in this problem, find the derivative, by using the definition. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Given 
, find the average rate of change of f (x) over the following pair of intervals using a calculator if desired: 
and 
A) 17.9 and 17.99
B) 20.9 and 20.99
C) 19.90 and 19.99
D) 19.90 and 20.99
E) 17.9 and 19.99
, find the average rate of change of f (x) over the following pair of intervals using a calculator if desired: and A) 17.9 and 17.99
B) 20.9 and 20.99
C) 19.90 and 19.99
D) 19.90 and 20.99
E) 17.9 and 19.99
سؤال
The tangent line to the graph of f (x) at 
is shown. On the tangent line, P is the point of tangency and A is another point on the line. Find 
. 
A) 2
B) -2
C) 1
D) -5
E) does not exist
is shown. On the tangent line, P is the point of tangency and A is another point on the line. Find . A) 2
B) -2
C) 1
D) -5
E) does not exist
سؤال
For the function in this problem, find the slope of the tangent line at the given value. 
; 
A) 5
B) 19
C) 13
D) -1
E) 21
; A) 5
B) 19
C) 13
D) -1
E) 21
سؤال
Let 
. Use the definition of derivative and the Procedure/Example table in this section to verify that 
. Then, find the slope of the tangent to the graph of 
at 
.
A) 27
B) 12
C) -27
D) -12
E) 0
. Use the definition of derivative and the Procedure/Example table in this section to verify that . Then, find the slope of the tangent to the graph of at . A) 27
B) 12
C) -27
D) -12
E) 0
سؤال
Let 
. Use the definition of derivative and the Procedure/Example table in this section to verify that 
. Then, find the instantaneous rate of change of f (x) at 
.
A) 10
B) 2
C) 8
D) 4
E) -8
. Use the definition of derivative and the Procedure/Example table in this section to verify that . Then, find the instantaneous rate of change of f (x) at . A) 10
B) 2
C) 8
D) 4
E) -8
سؤال
For the function in this problem, approximate 
by using the numerical derivative feature of a graphing utility. 
A) 93
B) 75
C) 19
D) -51
E) 84
by using the numerical derivative feature of a graphing utility. A) 93
B) 75
C) 19
D) -51
E) 84
سؤال
For the function in this problem, approximate 
by computing 
with 
. 
A) -0.0171
B) 0.2730
C) -1.0325
D) -0.0483
E) 0.0537
by computing with . A) -0.0171
B) 0.2730
C) -1.0325
D) -0.0483
E) 0.0537
سؤال
The percent p of particulate pollution that can be removed from the smokestacks of an industrial plant by spending C dollars is given by 
. Find the percent of the pollution that could be removed if spending C were allowed to increase without bound.
A) 1,700%
B) 17,000%
C) 0%
D) 200%
E) 100%
. Find the percent of the pollution that could be removed if spending C were allowed to increase without bound. A) 1,700%
B) 17,000%
C) 0%
D) 200%
E) 100%
سؤال
The monthly charge in dollars for x kilowatt-hours (kWh) of electricity used by a residential consumer of Excelsior Electric Membership Corporation from November through June is given by the function 
. What is the monthly charge if 1,700 kWh of electricity is consumed in a month? Round your answer to two decimal places.
A) $1,700.00
B) $169.80
C) $141.30
D) $73.80
E) $118.80
. What is the monthly charge if 1,700 kWh of electricity is consumed in a month? Round your answer to two decimal places.A) $1,700.00
B) $169.80
C) $141.30
D) $73.80
E) $118.80
فتح الحزمة
قم بالتسجيل لفتح البطاقات في هذه المجموعة!
Unlock Deck
Unlock Deck
1/250
العب
ملء الشاشة (f)
Deck 9: Derivatives
1
Use the graph of and the given c-value to find .
A) 4
B) 0
C) 2
D) -6
E) does not exist
and the given c-value to find . A) 4
B) 0
C) 2
D) -6
E) does not exist
does not exist
2
A graph of is shown and a c-value is given. For this problem, use the graph to find .
A) 5
B) -15
C) 0
D) 15
E) does not exist
is shown and a c-value is given. For this problem, use the graph to find . A) 5
B) -15
C) 0
D) 15
E) does not exist
15
3
A graph of is shown and a c-value is given. For this problem, use the graph to find .
A) 0
B) 5
C) -5
D) -6
E) does not exist
is shown and a c-value is given. For this problem, use the graph to find . A) 0
B) 5
C) -5
D) -6
E) does not exist
0
4
A graph of is shown and a c-value is given. For this problem, use the graph to find .
A) 0
B) 2
C) -4
D) -6
E) does not exist
is shown and a c-value is given. For this problem, use the graph to find . A) 0
B) 2
C) -4
D) -6
E) does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
5
Use the graph of and the given c-value to find .
A) 2
B) -2
C) 6
D) 0
E) does not exist
and the given c-value to find . A) 2
B) -2
C) 6
D) 0
E) does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
6
Use properties of limits and algebraic methods to find the limit, if it exists.
A) -45
B) 54
C) 45
D) -54
E) does not exist
A) -45
B) 54
C) 45
D) -54
E) does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
7
Complete the table and use it to predict the limit, if it exists.
A) -5
B) 5
C) -4
D) 4
E) does not exist
A) -5
B) 5
C) -4
D) 4
E) does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
8
A graph of is shown and a c-value is given. For this problem, use the graph to find .
A) 5
B) 0
C) -15
D) 15
E) does not exist
is shown and a c-value is given. For this problem, use the graph to find . A) 5
B) 0
C) -15
D) 15
E) does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
9
Use properties of limits and algebraic methods to find if the limit exists.
A) 0
B) 10
C) ∞
D) -10
E) 5
if the limit exists. A) 0
B) 10
C) ∞
D) -10
E) 5
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
10
Use the graph of and the given c-value to find .
A) -8
B) -6
C) 3
D) -4
E) does not exist
and the given c-value to find . A) -8
B) -6
C) 3
D) -4
E) does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
11
Use the graph of and the given c-value to find .
A) -6
B) 0
C) 8
D) 2
E) does not exist
and the given c-value to find . A) -6
B) 0
C) 8
D) 2
E) does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
12
Complete the table and use it to predict the limit, if it exists.
A) 44.0
B) -22.0
C) 22.0
D) -0.5
E) does not exist
A) 44.0
B) -22.0
C) 22.0
D) -0.5
E) does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
13
Use properties of limits and algebraic methods to find the limit, if it exists.
A) 63
B) 65
C) 60
D) 68
E) does not exist
A) 63
B) 65
C) 60
D) 68
E) does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
14
Use the graph of and the given c-value to find .
A) -6
B) 0
C) 2
D) 6
E) does not exist
and the given c-value to find . A) -6
B) 0
C) 2
D) 6
E) does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
15
Use properties of limits and algebraic methods to find the limit, if it exists.
A)
B)
C)
D)
E) does not exist
A)
B)
C)
D)
E) does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
16
Use properties of limits and algebraic methods to find the limit, if it exists.
A)
B)
C)
D)
E) does not exist
A)
B)
C)
D)
E) does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
17
Use the graph of and the given c-value to find .
A) -6
B) -5
C) -1
D) 3
E) does not exist
and the given c-value to find . A) -6
B) -5
C) -1
D) 3
E) does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
18
Use properties of limits and algebraic methods to find the limit, if it exists.
A)
B) -3
C)
D)
E) does not exist
A)
B) -3
C)
D)
E) does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
19
Use the graph of and the given c-value to find .
A) -6
B) -9
C) -1
D) 3
E) does not exist
and the given c-value to find . A) -6
B) -9
C) -1
D) 3
E) does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
20
Use the graph of and the given c-value to find .
A) -6
B) -7
C) 3
D) -5
E) does not exist
and the given c-value to find . A) -6
B) -7
C) 3
D) -5
E) does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
21
If and , find .
A)
B)
C) -10
D)
E) does not exist
and , find . A)
B)
C) -10
D)
E) does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
22
Determine whether the function is continuous or discontinuous at the given x-value.
A) continuous
B) discontinuous
A) continuous
B) discontinuous
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
23
For the given x-value, use the figure to determine whether the function is continuous or discontinuous at that x-value.
A) discontinuous
B) continuous
A) discontinuous
B) continuous
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
24
If and , find .
A) 20
B) 6
C) -2
D) -14
E) does not exist
and , find . A) 20
B) 6
C) -2
D) -14
E) does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
25
Determine whether the given function is continuous. If it is not, identify where it is discontinuous.
A) discontinuous at
B) discontinuous at
C) discontinuous at
D) discontinuous at
E) continuous everywhere
A) discontinuous at
B) discontinuous at
C) discontinuous at
D) discontinuous at
E) continuous everywhere
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
26
Use properties of limits and algebraic methods to find the limit, if it exists.
A) 0
B) -2
C) 2
D) 7
E) does not exist
A) 0
B) -2
C) 2
D) 7
E) does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
27
Suppose that the cost C in dollars of obtaining water that contains p percent impurities is given by . Find , if it exists.
A) $0
B) $13
C) $117
D) $1,300
E) does not exist
. Find , if it exists. A) $0
B) $13
C) $117
D) $1,300
E) does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
28
A certain calling card costs 6.1 cents per minute to make a call, rounded up to the nearest minute. However, when the card is used at a pay phone, there is an additional 61 cent connection fee. If is the charge from a pay phone for a call lasting t minutes, create a table of charges for calls lasting close to 1 minute and use it to find the following limit, if it exists. Round your answer to the nearest cent.
A) $0
B) $0.61
C) $0.73
D) $0.67
E) does not exist
is the charge from a pay phone for a call lasting t minutes, create a table of charges for calls lasting close to 1 minute and use it to find the following limit, if it exists. Round your answer to the nearest cent. A) $0
B) $0.61
C) $0.73
D) $0.67
E) does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
29
Use properties of limits and algebraic methods to find the limit, if it exists.
A) 0
B)
C)
D)
E) does not exist
A) 0
B)
C)
D)
E) does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
30
A certain calling card costs 5.2 cents per minute to make a call, rounded up to the nearest minute. However, when the card is used at a pay phone, there is an additional 52 cent connection fee. If is the charge from a pay phone for a call lasting t minutes, create a table of charges for calls lasting close to 1 minute and use it to find the following limit, if it exists. Round your answer to the nearest cent.
A) $0
B) $0.45
C) $0.57
D) $0.44
E) does not exist
is the charge from a pay phone for a call lasting t minutes, create a table of charges for calls lasting close to 1 minute and use it to find the following limit, if it exists. Round your answer to the nearest cent. A) $0
B) $0.45
C) $0.57
D) $0.44
E) does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
31
Graph the function with a graphing utility and use it to predict the limit. Check your work either by using the table feature of the graphing utility or by finding the limit algebraically.
A)
B) 18
C)
D) 0
E) does not exist
A)
B) 18
C)
D) 0
E) does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
32
Graph the function with a graphing utility and use it to predict the limit. Check your work either by using the table feature of the graphing utility or by finding the limit algebraically.
A) 10
B) 3
C)
D) 0
E) does not exist
A) 10
B) 3
C)
D) 0
E) does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
33
If and , find .
A) -106
B) -96
C) -81
D) 0
E) does not exist
and , find . A) -106
B) -96
C) -81
D) 0
E) does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
34
A certain calling card costs 6.8 cents per minute to make a call, rounded up to the nearest minute. However, when the card is used at a pay phone, there is an additional 68 cent connection fee. If is the charge from a pay phone for a call lasting t minutes, create a table of charges for calls lasting close to 1 minute and use it to find the following limit, if it exists. Round your answer to the nearest cent.
A) $0
B) $0.68
C) $0.75
D) $0.82
E) does not exist
is the charge from a pay phone for a call lasting t minutes, create a table of charges for calls lasting close to 1 minute and use it to find the following limit, if it exists. Round your answer to the nearest cent. A) $0
B) $0.68
C) $0.75
D) $0.82
E) does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
35
Suppose that the cost C in dollars of obtaining water that contains p percent impurities is given by . Find , if it exists.
A) $0
B) $20
C) $200
D) $2,000
E) does not exist
. Find , if it exists. A) $0
B) $20
C) $200
D) $2,000
E) does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
36
Determine whether the function is continuous or discontinuous at the given x-value.
A) discontinuous
B) continuous
A) discontinuous
B) continuous
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
37
If the revenue for a product (in dollars) is , and the average revenue per unit is , , find .
A) $900 per unit
B) $0.7 per unit
C) $90 per unit
D) $0 per unit
E) does not exist
, and the average revenue per unit is , , find . A) $900 per unit
B) $0.7 per unit
C) $90 per unit
D) $0 per unit
E) does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
38
Graph the function with a graphing utility and use it to predict the limit. Check your work either by using the table feature of the graphing utility or by finding the limit algebraically.
A) 0
B) 9
C)
D)
E) does not exist
A) 0
B) 9
C)
D)
E) does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
39
If the revenue for a product (in dollars) is and the average revenue per unit is , , find .
A) $520 per unit
B) $545 per unit
C) $530 per unit
D) $0 per unit
E) does not exist
and the average revenue per unit is , , find . A) $520 per unit
B) $545 per unit
C) $530 per unit
D) $0 per unit
E) does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
40
If the profit function for a product is given by , find .
A) -3,600
B) -1,600
C) -2,725
D) -4,100
E) does not exist
, find . A) -3,600
B) -1,600
C) -2,725
D) -4,100
E) does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
41
Suppose that the cost C of removing p percent of the particulate pollution from the exhaust gases at an industrial site is given by . Describe any discontinuities for C(p). Explain what each discontinuity means.
A) C(p) is discontinuous at . This means that not all pollution can be removed.
B) C(p) is discontinuous at . This means that none of the pollution can be removed.
C) C(p) is continuous everywhere.
D) C(p) is discontinuous at . This means that not all pollution can be removed.
E) C(p) is discontinuous at . This means that none of the pollution can be removed.
. Describe any discontinuities for C(p). Explain what each discontinuity means. A) C(p) is discontinuous at
. This means that not all pollution can be removed.B) C(p) is discontinuous at
. This means that none of the pollution can be removed.C) C(p) is continuous everywhere.
D) C(p) is discontinuous at
. This means that not all pollution can be removed.E) C(p) is discontinuous at
. This means that none of the pollution can be removed. فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
42
Use analytic methods to evaluate the limit and determine which type of asymptote (if any) it represents. You can verify your conclusion by graphing the function with a graphing utility, if one is available.
A) limit = 10, horizontal asymptote
B) limit = 10, vertical asymptote
C) limit = 4, horizontal asymptote
D) limit = 4, vertical asymptote
E) does not exist, no asymptote
A) limit = 10, horizontal asymptote
B) limit = 10, vertical asymptote
C) limit = 4, horizontal asymptote
D) limit = 4, vertical asymptote
E) does not exist, no asymptote
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
43
Suppose that the average number of minutes M that it takes a new employee to assemble one unit of a product is given by , where t is the number of days on the job. Is this function continuous for all
, where t is the number of days on the job. Is this function continuous for all فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
44
Graph the function using a window with and . What does the graph indicate about
A) -5
B) 5
C) 30
D) 0
E) does not exist
and . What does the graph indicate about A) -5
B) 5
C) 30
D) 0
E) does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
45
Use analytic methods to find the limit as for the given function.
A) -1500
B) 1500
C) -620
D) 620
E) does not exist
for the given function. A) -1500
B) 1500
C) -620
D) 620
E) does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
46
Suppose that the average number of minutes M that it takes a new employee to assemble one unit of a product is given by , where t is the number of days on the job. What is the domain for this application?
A)
B)
C)
D)
E)
, where t is the number of days on the job. What is the domain for this application? A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
47
Determine whether the given function is continuous. If it is not, identify where it is discontinuous and which condition fails to hold. You can verify your conclusions by graphing the function with a graphing utility, if one is available.
A) discontinuous at
B) discontinuous at
C) discontinuous at
D) discontinuous at
E) continuous everywhere
A) discontinuous at
B) discontinuous at
C) discontinuous at
D) discontinuous at
E) continuous everywhere
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
48
This problem contains a function and its graph, where . Use the graph to determine, as well as you can, . Check your conclusion by using the function to determine analytically.
A) 3
B) 0
C) 4
D) 1
E) does not exist
. Use the graph to determine, as well as you can, . Check your conclusion by using the function to determine analytically. A) 3
B) 0
C) 4
D) 1
E) does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
49
This problem contains a function and its graph, where . Use the graph to determine, as well as you can, the vertical asymptote. Check your conclusion by using the function to determine the vertical asymptote analytically.
A)
B)
C)
D)
E) no vertical asymptote
. Use the graph to determine, as well as you can, the vertical asymptote. Check your conclusion by using the function to determine the vertical asymptote analytically. A)
B)
C)
D)
E) no vertical asymptote
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
50
Determine whether the given function is continuous. If it is not, identify where it is discontinuous. You can verify your conclusions by graphing the function with a graphing utility, if one is available.
A) discontinuous at
B) discontinuous at
C) discontinuous at
D) discontinuous at
E) continuous everywhere
A) discontinuous at
B) discontinuous at
C) discontinuous at
D) discontinuous at
E) continuous everywhere
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
51
This problem contains a function and its graph, where . Use the graph to determine, as well as you can, the horizontal asymptote. Check your conclusion by using the function to determine the horizontal asymptote analytically.
A)
B)
C)
D)
E)
. Use the graph to determine, as well as you can, the horizontal asymptote. Check your conclusion by using the function to determine the horizontal asymptote analytically. A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
52
Use analytic methods to find the limit as for the given function.
A) 920
B) 240
C) -920
D) -240
E) does not exist
for the given function. A) 920
B) 240
C) -920
D) -240
E) does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
53
Use analytic methods to find any point of discontinuity for the given function.
A)
B)
C)
D)
E) continuous everywhere
A)
B)
C)
D)
E) continuous everywhere
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
54
Suppose that the average number of minutes M that it takes a new employee to assemble one unit of a product is given by , where t is the number of days on the job. Is this function continuous for all values of t?
, where t is the number of days on the job. Is this function continuous for all values of t? فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
55
Determine whether the given function is continuous. If is not continuous, identify where it is discontinuous and which condition(s) fails to hold.
A) is discontinuous at since is not defined and does not exist.
B) is discontinuous at since is not defined and does not exist.
C) is discontinuous at since is not defined and does not exist.
D) is continuous.
E) is discontinuous at since is not defined and does not exist.
is continuous. If is not continuous, identify where it is discontinuous and which condition(s) fails to hold. A)
is discontinuous at since is not defined and does not exist.B)
is discontinuous at since is not defined and does not exist.C)
is discontinuous at since is not defined and does not exist.D)
is continuous.E)
is discontinuous at since is not defined and does not exist. فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
56
Use a table utility with x-values larger than 10,000 to investigate . What does the table indicate about ?
A) -3
B) 3
C) 6
D) 0
E) does not exist
. What does the table indicate about ? A) -3
B) 3
C) 6
D) 0
E) does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
57
This problem contains a function and its graph, where . Use the graph to determine, as well as you can, . Check your conclusion by using the function to determine analytically.
A) 4
B) 1
C) 3
D) 0
E) does not exist
. Use the graph to determine, as well as you can, . Check your conclusion by using the function to determine analytically. A) 4
B) 1
C) 3
D) 0
E) does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
58
Use analytic methods to evaluate the limit and determine which type of asymptote (if any) it represents. You can verify your conclusion by graphing the function with a graphing utility, if one is available.
A) limit = 0, vertical asymptote
B) limit = 0, horizontal asymptote
C) limit = 2, horizontal asymptote
D) limit = 2, vertical asymptote
E) does not exist
A) limit = 0, vertical asymptote
B) limit = 0, horizontal asymptote
C) limit = 2, horizontal asymptote
D) limit = 2, vertical asymptote
E) does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
59
Use analytic methods to evaluate the limit and determine which type of asymptote (if any) it represents. You can verify your conclusion by graphing the function with a graphing utility, if one is available.
A) limit = 4, vertical asymptote
B) limit = 8, horizontal asymptote
C) limit = 8, vertical asymptote
D) limit = 4, horizontal asymptote
E) does not exist
A) limit = 4, vertical asymptote
B) limit = 8, horizontal asymptote
C) limit = 8, vertical asymptote
D) limit = 4, horizontal asymptote
E) does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
60
Suppose that the average number of minutes M that it takes a new employee to assemble one unit of a product is given by , where t is the number of days on the job. Is this function continuous at
, where t is the number of days on the job. Is this function continuous at فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
61
For the function in this problem, approximate by using the numerical derivative feature of a graphing utility. Round your answer to three decimal places.
A) -0.298
B) -0.421
C) -0.544
D) -0.187
E) -0.655
by using the numerical derivative feature of a graphing utility. Round your answer to three decimal places. A) -0.298
B) -0.421
C) -0.544
D) -0.187
E) -0.655
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
62
For the given function, find the average rate of change over the specified interval. over
A) 0
B) 4
C) 2
D) -17
E) 17
over A) 0
B) 4
C) 2
D) -17
E) 17
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
63
For the function in this problem, find the instantaneous rate of change of the function at the given value. ;
A) 18
B) 6
C) 10
D) 14
E) 13
; A) 18
B) 6
C) 10
D) 14
E) 13
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
64
The monthly charge in dollars for x kilowatt-hours (kWh) of electricity used by a residential consumer of Excelsior Electric Membership Corporation from November through June is given by the function .
Is C continuous at ?
.Is C continuous at
? فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
65
For the function in this problem, approximate near by graphing the function on a graphing utility. Then, zoom in near the point until the graph appears straight, pick two points, and find the slope of the line you see. Round your answer to four decimal places.
A) -0.1641
B) -0.1698
C) -0.5411
D) -0.5102
E) -0.3735
near by graphing the function on a graphing utility. Then, zoom in near the point until the graph appears straight, pick two points, and find the slope of the line you see. Round your answer to four decimal places. A) -0.1641
B) -0.1698
C) -0.5411
D) -0.5102
E) -0.3735
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
66
For the function in this problem, approximate near the point by graphing the function on a graphing utility. Then, zoom in near the point until the graph appears straight, pick two points, and find the slope of the line you see. Round your answer to three decimal places.
A) 48.050
B) -9.000
C) -8.950
D) 50.970
E) -8.999
near the point by graphing the function on a graphing utility. Then, zoom in near the point until the graph appears straight, pick two points, and find the slope of the line you see. Round your answer to three decimal places. A) 48.050
B) -9.000
C) -8.950
D) 50.970
E) -8.999
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
67
The tangent line to the graph of f (x) at is shown. On the tangent line, P is the point of tangency and A is another point on the line. Find the instantaneous rate of change of f (x) at P.
A) -3
B) 2
C) 1
D) -4
E) does not exist
is shown. On the tangent line, P is the point of tangency and A is another point on the line. Find the instantaneous rate of change of f (x) at P. A) -3
B) 2
C) 1
D) -4
E) does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
68
For the function in this problem, approximate by computing with .
A) 72.9793
B) 73.0369
C) 73.0027
D) 73.1261
E) 72.8793
by computing with . A) 72.9793
B) 73.0369
C) 73.0027
D) 73.1261
E) 72.8793
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
69
The tangent line to the graph of f (x) at is shown. On the tangent line, P is the point of tangency and A is another point on the line. Use the coordinates of P and A to find the slope of the tangent line.
A) 2
B) 1
C) -4
D) 5
E) does not exist
is shown. On the tangent line, P is the point of tangency and A is another point on the line. Use the coordinates of P and A to find the slope of the tangent line. A) 2
B) 1
C) -4
D) 5
E) does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
70
The monthly charge in dollars for x kilowatt-hours (kWh) of electricity used by a residential consumer of Excelsior Electric Membership Corporation from November through June is given by the function .
Is C continuous at ?
.Is C continuous at
?
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
71
For the function in this problem, find the derivative, by using the definition.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
72
Given , find the average rate of change of f (x) over the following pair of intervals using a calculator if desired: and
A) 17.9 and 17.99
B) 20.9 and 20.99
C) 19.90 and 19.99
D) 19.90 and 20.99
E) 17.9 and 19.99
, find the average rate of change of f (x) over the following pair of intervals using a calculator if desired: and A) 17.9 and 17.99
B) 20.9 and 20.99
C) 19.90 and 19.99
D) 19.90 and 20.99
E) 17.9 and 19.99
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
73
The tangent line to the graph of f (x) at is shown. On the tangent line, P is the point of tangency and A is another point on the line. Find .
A) 2
B) -2
C) 1
D) -5
E) does not exist
is shown. On the tangent line, P is the point of tangency and A is another point on the line. Find . A) 2
B) -2
C) 1
D) -5
E) does not exist
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
74
For the function in this problem, find the slope of the tangent line at the given value. ;
A) 5
B) 19
C) 13
D) -1
E) 21
; A) 5
B) 19
C) 13
D) -1
E) 21
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
75
Let . Use the definition of derivative and the Procedure/Example table in this section to verify that . Then, find the slope of the tangent to the graph of at .
A) 27
B) 12
C) -27
D) -12
E) 0
. Use the definition of derivative and the Procedure/Example table in this section to verify that . Then, find the slope of the tangent to the graph of at . A) 27
B) 12
C) -27
D) -12
E) 0
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
76
Let . Use the definition of derivative and the Procedure/Example table in this section to verify that . Then, find the instantaneous rate of change of f (x) at .
A) 10
B) 2
C) 8
D) 4
E) -8
. Use the definition of derivative and the Procedure/Example table in this section to verify that . Then, find the instantaneous rate of change of f (x) at . A) 10
B) 2
C) 8
D) 4
E) -8
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
77
For the function in this problem, approximate by using the numerical derivative feature of a graphing utility.
A) 93
B) 75
C) 19
D) -51
E) 84
by using the numerical derivative feature of a graphing utility. A) 93
B) 75
C) 19
D) -51
E) 84
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
78
For the function in this problem, approximate by computing with .
A) -0.0171
B) 0.2730
C) -1.0325
D) -0.0483
E) 0.0537
by computing with . A) -0.0171
B) 0.2730
C) -1.0325
D) -0.0483
E) 0.0537
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
79
The percent p of particulate pollution that can be removed from the smokestacks of an industrial plant by spending C dollars is given by . Find the percent of the pollution that could be removed if spending C were allowed to increase without bound.
A) 1,700%
B) 17,000%
C) 0%
D) 200%
E) 100%
. Find the percent of the pollution that could be removed if spending C were allowed to increase without bound. A) 1,700%
B) 17,000%
C) 0%
D) 200%
E) 100%
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
80
The monthly charge in dollars for x kilowatt-hours (kWh) of electricity used by a residential consumer of Excelsior Electric Membership Corporation from November through June is given by the function . What is the monthly charge if 1,700 kWh of electricity is consumed in a month? Round your answer to two decimal places.
A) $1,700.00
B) $169.80
C) $141.30
D) $73.80
E) $118.80
. What is the monthly charge if 1,700 kWh of electricity is consumed in a month? Round your answer to two decimal places.A) $1,700.00
B) $169.80
C) $141.30
D) $73.80
E) $118.80
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
فتح الحزمة
k this deck
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 250 في هذه المجموعة.
