Deck 6: Extension B: Applications of Integration

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

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

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

A) <strong>Find the integral.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Find the integral.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Find the integral.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Find the integral.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Evaluate the integral using the indicated trigonometric substitution. Evaluate the integral using the indicated trigonometric substitution.   <div style=padding-top: 35px>
سؤال
Find the integral using an appropriate trigonometric substitution. <strong>Find the integral using an appropriate trigonometric substitution.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Find the integral using an appropriate trigonometric substitution.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Find the integral using an appropriate trigonometric substitution.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Find the integral using an appropriate trigonometric substitution.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Find the integral using an appropriate trigonometric substitution.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Find the integral using an appropriate trigonometric substitution. <strong>Find the integral using an appropriate trigonometric substitution.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Find the integral using an appropriate trigonometric substitution.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Find the integral using an appropriate trigonometric substitution.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Find the integral using an appropriate trigonometric substitution.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Find the integral using an appropriate trigonometric substitution.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
Find the area of the region bounded by the hyperbola Find the area of the region bounded by the hyperbola   and the line   <div style=padding-top: 35px> and the line Find the area of the region bounded by the hyperbola   and the line   <div style=padding-top: 35px>
سؤال
Find the integral. Find the integral.   <div style=padding-top: 35px>
سؤال
Household electricity is supplied in the form of alternating current that varies from 170 V to -170 V with a frequency of 60 cycles per second (Hz).The voltage is thus given by the function E(t),where t is the time in seconds.Voltmeters read the RMS (root-mean-square)voltage,which is the square root of the average value of Household electricity is supplied in the form of alternating current that varies from 170 V to -170 V with a frequency of 60 cycles per second (Hz).The voltage is thus given by the function E(t),where t is the time in seconds.Voltmeters read the RMS (root-mean-square)voltage,which is the square root of the average value of   over one cycle.Calculate the RMS voltage of household current.Round your answer to the nearest integer.   <div style=padding-top: 35px> over one cycle.Calculate the RMS voltage of household current.Round your answer to the nearest integer. Household electricity is supplied in the form of alternating current that varies from 170 V to -170 V with a frequency of 60 cycles per second (Hz).The voltage is thus given by the function E(t),where t is the time in seconds.Voltmeters read the RMS (root-mean-square)voltage,which is the square root of the average value of   over one cycle.Calculate the RMS voltage of household current.Round your answer to the nearest integer.   <div style=padding-top: 35px>
سؤال
Evaluate the integral. <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>

A) <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
B) <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
C) <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
D) <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   <div style=padding-top: 35px>
سؤال
A particle moves on a straight line with velocity function <strong>A particle moves on a straight line with velocity function    .Find its position function  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px> .Find its position function <strong>A particle moves on a straight line with velocity function    .Find its position function  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>A particle moves on a straight line with velocity function    .Find its position function  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>A particle moves on a straight line with velocity function    .Find its position function  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>A particle moves on a straight line with velocity function    .Find its position function  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>A particle moves on a straight line with velocity function    .Find its position function  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>A particle moves on a straight line with velocity function    .Find its position function  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
سؤال
Evaluate the integral. <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

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

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

A) <strong>Evaluate the integral using the indicated trigonometric substitution.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>Evaluate the integral using the indicated trigonometric substitution.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>Evaluate the integral using the indicated trigonometric substitution.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>Evaluate the integral using the indicated trigonometric substitution.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>Evaluate the integral using the indicated trigonometric substitution.  </strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
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Deck 6: Extension B: Applications of Integration
1
Find the integral. <strong>Find the integral.  </strong> A)   B)   C)   D)

A) <strong>Find the integral.  </strong> A)   B)   C)   D)
B) <strong>Find the integral.  </strong> A)   B)   C)   D)
C) <strong>Find the integral.  </strong> A)   B)   C)   D)
D) <strong>Find the integral.  </strong> A)   B)   C)   D)
2
Find the integral. <strong>Find the integral.  </strong> A)   B)   C)   D)

A) <strong>Find the integral.  </strong> A)   B)   C)   D)
B) <strong>Find the integral.  </strong> A)   B)   C)   D)
C) <strong>Find the integral.  </strong> A)   B)   C)   D)
D) <strong>Find the integral.  </strong> A)   B)   C)   D)
3
Find the integral. <strong>Find the integral.  </strong> A)   B)   C)   D)

A) <strong>Find the integral.  </strong> A)   B)   C)   D)
B) <strong>Find the integral.  </strong> A)   B)   C)   D)
C) <strong>Find the integral.  </strong> A)   B)   C)   D)
D) <strong>Find the integral.  </strong> A)   B)   C)   D)
4
Evaluate the integral using the indicated trigonometric substitution. Evaluate the integral using the indicated trigonometric substitution.
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5
Find the integral using an appropriate trigonometric substitution. <strong>Find the integral using an appropriate trigonometric substitution.  </strong> A)   B)   C)   D)

A) <strong>Find the integral using an appropriate trigonometric substitution.  </strong> A)   B)   C)   D)
B) <strong>Find the integral using an appropriate trigonometric substitution.  </strong> A)   B)   C)   D)
C) <strong>Find the integral using an appropriate trigonometric substitution.  </strong> A)   B)   C)   D)
D) <strong>Find the integral using an appropriate trigonometric substitution.  </strong> A)   B)   C)   D)
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6
Find the integral using an appropriate trigonometric substitution. <strong>Find the integral using an appropriate trigonometric substitution.  </strong> A)   B)   C)   D)

A) <strong>Find the integral using an appropriate trigonometric substitution.  </strong> A)   B)   C)   D)
B) <strong>Find the integral using an appropriate trigonometric substitution.  </strong> A)   B)   C)   D)
C) <strong>Find the integral using an appropriate trigonometric substitution.  </strong> A)   B)   C)   D)
D) <strong>Find the integral using an appropriate trigonometric substitution.  </strong> A)   B)   C)   D)
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7
Find the area of the region bounded by the hyperbola Find the area of the region bounded by the hyperbola   and the line   and the line Find the area of the region bounded by the hyperbola   and the line
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8
Find the integral. Find the integral.
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9
Household electricity is supplied in the form of alternating current that varies from 170 V to -170 V with a frequency of 60 cycles per second (Hz).The voltage is thus given by the function E(t),where t is the time in seconds.Voltmeters read the RMS (root-mean-square)voltage,which is the square root of the average value of Household electricity is supplied in the form of alternating current that varies from 170 V to -170 V with a frequency of 60 cycles per second (Hz).The voltage is thus given by the function E(t),where t is the time in seconds.Voltmeters read the RMS (root-mean-square)voltage,which is the square root of the average value of   over one cycle.Calculate the RMS voltage of household current.Round your answer to the nearest integer.   over one cycle.Calculate the RMS voltage of household current.Round your answer to the nearest integer. Household electricity is supplied in the form of alternating current that varies from 170 V to -170 V with a frequency of 60 cycles per second (Hz).The voltage is thus given by the function E(t),where t is the time in seconds.Voltmeters read the RMS (root-mean-square)voltage,which is the square root of the average value of   over one cycle.Calculate the RMS voltage of household current.Round your answer to the nearest integer.
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10
Evaluate the integral. <strong>Evaluate the integral.  </strong> A)   B)   C)   D)

A) <strong>Evaluate the integral.  </strong> A)   B)   C)   D)
B) <strong>Evaluate the integral.  </strong> A)   B)   C)   D)
C) <strong>Evaluate the integral.  </strong> A)   B)   C)   D)
D) <strong>Evaluate the integral.  </strong> A)   B)   C)   D)
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11
A particle moves on a straight line with velocity function <strong>A particle moves on a straight line with velocity function    .Find its position function  </strong> A)   B)   C)   D)   E)   .Find its position function <strong>A particle moves on a straight line with velocity function    .Find its position function  </strong> A)   B)   C)   D)   E)

A) <strong>A particle moves on a straight line with velocity function    .Find its position function  </strong> A)   B)   C)   D)   E)
B) <strong>A particle moves on a straight line with velocity function    .Find its position function  </strong> A)   B)   C)   D)   E)
C) <strong>A particle moves on a straight line with velocity function    .Find its position function  </strong> A)   B)   C)   D)   E)
D) <strong>A particle moves on a straight line with velocity function    .Find its position function  </strong> A)   B)   C)   D)   E)
E) <strong>A particle moves on a straight line with velocity function    .Find its position function  </strong> A)   B)   C)   D)   E)
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12
Evaluate the integral. <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   E)

A) <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   E)
B) <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   E)
C) <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   E)
D) <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   E)
E) <strong>Evaluate the integral.  </strong> A)   B)   C)   D)   E)
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13
Find the integral. <strong>Find the integral.  </strong> A)   B)   C)   D)

A) <strong>Find the integral.  </strong> A)   B)   C)   D)
B) <strong>Find the integral.  </strong> A)   B)   C)   D)
C) <strong>Find the integral.  </strong> A)   B)   C)   D)
D) <strong>Find the integral.  </strong> A)   B)   C)   D)
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14
Evaluate the integral using the indicated trigonometric substitution. <strong>Evaluate the integral using the indicated trigonometric substitution.  </strong> A)   B)   C)   D)   E)

A) <strong>Evaluate the integral using the indicated trigonometric substitution.  </strong> A)   B)   C)   D)   E)
B) <strong>Evaluate the integral using the indicated trigonometric substitution.  </strong> A)   B)   C)   D)   E)
C) <strong>Evaluate the integral using the indicated trigonometric substitution.  </strong> A)   B)   C)   D)   E)
D) <strong>Evaluate the integral using the indicated trigonometric substitution.  </strong> A)   B)   C)   D)   E)
E) <strong>Evaluate the integral using the indicated trigonometric substitution.  </strong> A)   B)   C)   D)   E)
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