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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)

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D

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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Evaluate the following improper integral. Evaluate the following improper integral.   A)    B)    C)    D)    E)  The integral does not converge.


A) Evaluate the following improper integral.   A)    B)    C)    D)    E)  The integral does not converge.
B) Evaluate the following improper integral.   A)    B)    C)    D)    E)  The integral does not converge.
C) Evaluate the following improper integral.   A)    B)    C)    D)    E)  The integral does not converge.
D) Evaluate the following improper integral.   A)    B)    C)    D)    E)  The integral does not converge.
E) The integral does not converge.

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Evaluate the following iterated integral. Evaluate the following iterated integral.   A)  41.5 B)  38.5 C)  34.5 D)  33.5 E)  37.5


A) 41.5
B) 38.5
C) 34.5
D) 33.5
E) 37.5

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Use an iterated integral to find the area of the region bounded by Use an iterated integral to find the area of the region bounded by   . A)    B)    C)    D)    E)   .


A) Use an iterated integral to find the area of the region bounded by   . A)    B)    C)    D)    E)
B) Use an iterated integral to find the area of the region bounded by   . A)    B)    C)    D)    E)
C) Use an iterated integral to find the area of the region bounded by   . A)    B)    C)    D)    E)
D) Use an iterated integral to find the area of the region bounded by   . A)    B)    C)    D)    E)
E) Use an iterated integral to find the area of the region bounded by   . A)    B)    C)    D)    E)

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Use an iterated integral to find the area of the region bounded by Use an iterated integral to find the area of the region bounded by   . A)    B)    C)    D)    E)  The integral is improper and does not converge. .


A) Use an iterated integral to find the area of the region bounded by   . A)    B)    C)    D)    E)  The integral is improper and does not converge.
B) Use an iterated integral to find the area of the region bounded by   . A)    B)    C)    D)    E)  The integral is improper and does not converge.
C) Use an iterated integral to find the area of the region bounded by   . A)    B)    C)    D)    E)  The integral is improper and does not converge.
D) Use an iterated integral to find the area of the region bounded by   . A)    B)    C)    D)    E)  The integral is improper and does not converge.
E) The integral is improper and does not converge.

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Use an iterated integral to find the area of the region bounded by the graphs of the equations Use an iterated integral to find the area of the region bounded by the graphs of the equations   and   . A)    B)    C)    D)    E)   and Use an iterated integral to find the area of the region bounded by the graphs of the equations   and   . A)    B)    C)    D)    E)   .


A) Use an iterated integral to find the area of the region bounded by the graphs of the equations   and   . A)    B)    C)    D)    E)
B) Use an iterated integral to find the area of the region bounded by the graphs of the equations   and   . A)    B)    C)    D)    E)
C) Use an iterated integral to find the area of the region bounded by the graphs of the equations   and   . A)    B)    C)    D)    E)
D) Use an iterated integral to find the area of the region bounded by the graphs of the equations   and   . A)    B)    C)    D)    E)
E) Use an iterated integral to find the area of the region bounded by the graphs of the equations   and   . A)    B)    C)    D)    E)

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Sketch the region R of integration and then switch the order of integration for the following integral. Sketch the region R of integration and then switch the order of integration for the following integral.   A)    B)    C)    D)    E)


A) Sketch the region R of integration and then switch the order of integration for the following integral.   A)    B)    C)    D)    E)
B) Sketch the region R of integration and then switch the order of integration for the following integral.   A)    B)    C)    D)    E)
C) Sketch the region R of integration and then switch the order of integration for the following integral.   A)    B)    C)    D)    E)
D) Sketch the region R of integration and then switch the order of integration for the following integral.   A)    B)    C)    D)    E)
E) Sketch the region R of integration and then switch the order of integration for the following integral.   A)    B)    C)    D)    E)

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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 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

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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)

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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)

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


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

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Evaluate the iterated integral below. Note that it is necessary to switch the order of integration. Evaluate the iterated integral below. Note that it is necessary to switch the order of integration.   A)    B)    C)    D)    E)


A) Evaluate the iterated integral below. Note that it is necessary to switch the order of integration.   A)    B)    C)    D)    E)
B) Evaluate the iterated integral below. Note that it is necessary to switch the order of integration.   A)    B)    C)    D)    E)
C) Evaluate the iterated integral below. Note that it is necessary to switch the order of integration.   A)    B)    C)    D)    E)
D) Evaluate the iterated integral below. Note that it is necessary to switch the order of integration.   A)    B)    C)    D)    E)
E) Evaluate the iterated integral below. Note that it is necessary to switch the order of integration.   A)    B)    C)    D)    E)

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B

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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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)

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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)

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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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Evaluate the following iterated integral. Evaluate the following iterated integral.   A)  5,901 B)  5,931 C)  5,955 D)  5,970 E)  6,017


A) 5,901
B) 5,931
C) 5,955
D) 5,970
E) 6,017

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Sketch the region R and evaluate the iterated integral. Sketch the region R and evaluate the iterated integral.   A)      B)      C)      D)      E)


A) Sketch the region R and evaluate the iterated integral.   A)      B)      C)      D)      E)     Sketch the region R and evaluate the iterated integral.   A)      B)      C)      D)      E)
B) Sketch the region R and evaluate the iterated integral.   A)      B)      C)      D)      E)     Sketch the region R and evaluate the iterated integral.   A)      B)      C)      D)      E)
C) Sketch the region R and evaluate the iterated integral.   A)      B)      C)      D)      E)     Sketch the region R and evaluate the iterated integral.   A)      B)      C)      D)      E)
D) Sketch the region R and evaluate the iterated integral.   A)      B)      C)      D)      E)     Sketch the region R and evaluate the iterated integral.   A)      B)      C)      D)      E)
E) Sketch the region R and evaluate the iterated integral.   A)      B)      C)      D)      E)     Sketch the region R and evaluate the iterated integral.   A)      B)      C)      D)      E)

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