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Evaluate the iterated integral Evaluate the iterated integral   by switching the order of integration.Round your answer to three decimal places. A) 0.538 B) 0.558 C) 30.538 D) 1.538 E) 4.538 by switching the order of integration.Round your answer to three decimal places.


A) 0.538
B) 0.558
C) 30.538
D) 1.538
E) 4.538

Correct Answer

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The area of a region R is given by the iterated integrals The area of a region R is given by the iterated integrals   Switch the order of integration and show that both orders yield the same area.What is this area? A) 32 B) 1025 C) 64 D) 771 E) 63 Switch the order of integration and show that both orders yield the same area.What is this area?


A) 32
B) 1025
C) 64
D) 771
E) 63

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C

Evaluate the following iterated integral. Evaluate the following iterated integral.   A)    B)    C)    D)    E)


A) Evaluate the following iterated integral.   A)    B)    C)    D)    E)
B) Evaluate the following iterated integral.   A)    B)    C)    D)    E)
C) Evaluate the following iterated integral.   A)    B)    C)    D)    E)
D) Evaluate the following iterated integral.   A)    B)    C)    D)    E)
E) Evaluate the following iterated integral.   A)    B)    C)    D)    E)

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Use a double integral to find the volume of the indicated solid. Use a double integral to find the volume of the indicated solid.   A) 16 B) 9 C) 4 D) 20 E) 6


A) 16
B) 9
C) 4
D) 20
E) 6

Correct Answer

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Set up and evaluate a double integral to find the volume of the solid bounded by the graphs of the equations given below. Set up and evaluate a double integral to find the volume of the solid bounded by the graphs of the equations given below.   A)    B)    C)    D)    E)


A) Set up and evaluate a double integral to find the volume of the solid bounded by the graphs of the equations given below.   A)    B)    C)    D)    E)
B) Set up and evaluate a double integral to find the volume of the solid bounded by the graphs of the equations given below.   A)    B)    C)    D)    E)
C) Set up and evaluate a double integral to find the volume of the solid bounded by the graphs of the equations given below.   A)    B)    C)    D)    E)
D) Set up and evaluate a double integral to find the volume of the solid bounded by the graphs of the equations given below.   A)    B)    C)    D)    E)
E) Set up and evaluate a double integral to find the volume of the solid bounded by the graphs of the equations given below.   A)    B)    C)    D)    E)

Correct Answer

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Use an iterated integral to find the area of the region shown in the figure below. Use an iterated integral to find the area of the region shown in the figure below.   A)    B)    C)    D)    E)


A) Use an iterated integral to find the area of the region shown in the figure below.   A)    B)    C)    D)    E)
B) Use an iterated integral to find the area of the region shown in the figure below.   A)    B)    C)    D)    E)
C) Use an iterated integral to find the area of the region shown in the figure below.   A)    B)    C)    D)    E)
D) Use an iterated integral to find the area of the region shown in the figure below.   A)    B)    C)    D)    E)
E) Use an iterated integral to find the area of the region shown in the figure below.   A)    B)    C)    D)    E)

Correct Answer

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Evaluate Evaluate   A) 3 B) 8 C) 6 D) 9 E) 5


A) 3
B) 8
C) 6
D) 9
E) 5

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Suppose the Cobb-Douglas production function for an automobile manufacturer is Suppose the Cobb-Douglas production function for an automobile manufacturer is   where x is the number of units of labor and y is the number of units of capital. Estimate the average production level if the number of units of labor x varies between 150 and 200 And the number of units of capital y varies between 375 and 450.Round your answer to two decimal Places. A) 229,894.96 B) 15,558.45 C) 55,174.79 D) 24,631.60 E) 5,971.30 where x is the number of units of labor and y is the number of units of capital. Estimate the average production level if the number of units of labor x varies between 150 and 200 And the number of units of capital y varies between 375 and 450.Round your answer to two decimal Places.


A) 229,894.96
B) 15,558.45
C) 55,174.79
D) 24,631.60
E) 5,971.30

Correct Answer

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Use a double integral to find the volume of the indicated solid. Use a double integral to find the volume of the indicated solid.   A) 32 B) 16 C) 60 D) 15 E) 24


A) 32
B) 16
C) 60
D) 15
E) 24

Correct Answer

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A

Suppose the temperature in degrees Celsius on the surface of a metal plate is Suppose the temperature in degrees Celsius on the surface of a metal plate is   where x and y are measured in centimeters.Estimate the average temperature if x varies between 0 and 2 centimeters and y varies between 0 and 7 centimeters. A)    degrees Celsius B)    degrees Celsius C)    egrees Celsius D)    degrees Celsius E)    degrees Celsius where x and y are measured in centimeters.Estimate the average temperature if x varies between 0 and 2 centimeters and y varies between 0 and 7 centimeters.


A) Suppose the temperature in degrees Celsius on the surface of a metal plate is   where x and y are measured in centimeters.Estimate the average temperature if x varies between 0 and 2 centimeters and y varies between 0 and 7 centimeters. A)    degrees Celsius B)    degrees Celsius C)    egrees Celsius D)    degrees Celsius E)    degrees Celsius degrees Celsius
B) Suppose the temperature in degrees Celsius on the surface of a metal plate is   where x and y are measured in centimeters.Estimate the average temperature if x varies between 0 and 2 centimeters and y varies between 0 and 7 centimeters. A)    degrees Celsius B)    degrees Celsius C)    egrees Celsius D)    degrees Celsius E)    degrees Celsius degrees Celsius
C) Suppose the temperature in degrees Celsius on the surface of a metal plate is   where x and y are measured in centimeters.Estimate the average temperature if x varies between 0 and 2 centimeters and y varies between 0 and 7 centimeters. A)    degrees Celsius B)    degrees Celsius C)    egrees Celsius D)    degrees Celsius E)    degrees Celsius egrees Celsius
D) Suppose the temperature in degrees Celsius on the surface of a metal plate is   where x and y are measured in centimeters.Estimate the average temperature if x varies between 0 and 2 centimeters and y varies between 0 and 7 centimeters. A)    degrees Celsius B)    degrees Celsius C)    egrees Celsius D)    degrees Celsius E)    degrees Celsius degrees Celsius
E) Suppose the temperature in degrees Celsius on the surface of a metal plate is   where x and y are measured in centimeters.Estimate the average temperature if x varies between 0 and 2 centimeters and y varies between 0 and 7 centimeters. A)    degrees Celsius B)    degrees Celsius C)    egrees Celsius D)    degrees Celsius E)    degrees Celsius degrees Celsius

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Set up an integral for both orders of integration, and use the more convenient order to evaluate the integral below over the region R. Set up an integral for both orders of integration, and use the more convenient order to evaluate the integral below over the region R.   A)    B)    C)    D)    E)


A) Set up an integral for both orders of integration, and use the more convenient order to evaluate the integral below over the region R.   A)    B)    C)    D)    E)
B) Set up an integral for both orders of integration, and use the more convenient order to evaluate the integral below over the region R.   A)    B)    C)    D)    E)
C) Set up an integral for both orders of integration, and use the more convenient order to evaluate the integral below over the region R.   A)    B)    C)    D)    E)
D) Set up an integral for both orders of integration, and use the more convenient order to evaluate the integral below over the region R.   A)    B)    C)    D)    E)
E) Set up an integral for both orders of integration, and use the more convenient order to evaluate the integral below over the region R.   A)    B)    C)    D)    E)

Correct Answer

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Use a double integral to find the volume of the indicated solid. Use a double integral to find the volume of the indicated solid.   A)    B)    C)    D)    E)


A) Use a double integral to find the volume of the indicated solid.   A)    B)    C)    D)    E)
B) Use a double integral to find the volume of the indicated solid.   A)    B)    C)    D)    E)
C) Use a double integral to find the volume of the indicated solid.   A)    B)    C)    D)    E)
D) Use a double integral to find the volume of the indicated solid.   A)    B)    C)    D)    E)
E) Use a double integral to find the volume of the indicated solid.   A)    B)    C)    D)    E)

Correct Answer

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Evaluate the following integral. Evaluate the following integral.   A)    B)    C)    D)    E)


A) Evaluate the following integral.   A)    B)    C)    D)    E)
B) Evaluate the following integral.   A)    B)    C)    D)    E)
C) Evaluate the following integral.   A)    B)    C)    D)    E)
D) Evaluate the following integral.   A)    B)    C)    D)    E)
E) Evaluate the following integral.   A)    B)    C)    D)    E)

Correct Answer

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Evaluate Evaluate   Round your answer to two decimal places. A) 508.64 B) 307.25 C) 2457.99 D) 2224.97 E) 741.66 Round your answer to two decimal places.


A) 508.64
B) 307.25
C) 2457.99
D) 2224.97
E) 741.66

Correct Answer

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E

Find the average value of Find the average value of   over the region R, where R is a triangle with vertices   A)    B)    C)    D)    E)   over the region R, where R is a triangle with vertices Find the average value of   over the region R, where R is a triangle with vertices   A)    B)    C)    D)    E)


A) Find the average value of   over the region R, where R is a triangle with vertices   A)    B)    C)    D)    E)
B) Find the average value of   over the region R, where R is a triangle with vertices   A)    B)    C)    D)    E)
C) Find the average value of   over the region R, where R is a triangle with vertices   A)    B)    C)    D)    E)
D) Find the average value of   over the region R, where R is a triangle with vertices   A)    B)    C)    D)    E)
E) Find the average value of   over the region R, where R is a triangle with vertices   A)    B)    C)    D)    E)

Correct Answer

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The area of a region R is given by the iterated integral The area of a region R is given by the iterated integral   Switch the order of integration and show that both orders yield the same area.What is this area? A) 65 B) 16 C) 21 D) 8 E) 4 Switch the order of integration and show that both orders yield the same area.What is this area?


A) 65
B) 16
C) 21
D) 8
E) 4

Correct Answer

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Evaluate the following integral. Evaluate the following integral.   A)    B)    C)    D)    E)


A) Evaluate the following integral.   A)    B)    C)    D)    E)
B) Evaluate the following integral.   A)    B)    C)    D)    E)
C) Evaluate the following integral.   A)    B)    C)    D)    E)
D) Evaluate the following integral.   A)    B)    C)    D)    E)
E) Evaluate the following integral.   A)    B)    C)    D)    E)

Correct Answer

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The area of a region R is given by the iterated integral The area of a region R is given by the iterated integral   Switch the order of integration and show that both orders yield the same area.What is this area? A)    B)    C)    D)    E)   Switch the order of integration and show that both orders yield the same area.What is this area?


A) The area of a region R is given by the iterated integral   Switch the order of integration and show that both orders yield the same area.What is this area? A)    B)    C)    D)    E)
B) The area of a region R is given by the iterated integral   Switch the order of integration and show that both orders yield the same area.What is this area? A)    B)    C)    D)    E)
C) The area of a region R is given by the iterated integral   Switch the order of integration and show that both orders yield the same area.What is this area? A)    B)    C)    D)    E)
D) The area of a region R is given by the iterated integral   Switch the order of integration and show that both orders yield the same area.What is this area? A)    B)    C)    D)    E)
E) The area of a region R is given by the iterated integral   Switch the order of integration and show that both orders yield the same area.What is this area? A)    B)    C)    D)    E)

Correct Answer

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Set up and evaluate a double integral to find the volume of the solid bounded by the graphs of the equations Set up and evaluate a double integral to find the volume of the solid bounded by the graphs of the equations   and   A) 1,089 B) 35,937 C) 35,949 D) 11,979 E) 2,178 and Set up and evaluate a double integral to find the volume of the solid bounded by the graphs of the equations   and   A) 1,089 B) 35,937 C) 35,949 D) 11,979 E) 2,178


A) 1,089
B) 35,937
C) 35,949
D) 11,979
E) 2,178

Correct Answer

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Evaluate the following integral. Evaluate the following integral.   A)    B)    C)    D)    E)


A) Evaluate the following integral.   A)    B)    C)    D)    E)
B) Evaluate the following integral.   A)    B)    C)    D)    E)
C) Evaluate the following integral.   A)    B)    C)    D)    E)
D) Evaluate the following integral.   A)    B)    C)    D)    E)
E) Evaluate the following integral.   A)    B)    C)    D)    E)

Correct Answer

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