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Exam 15: Section 7: Vector Analysis

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Let Let and let S be the cube bounded by the planes . Verify the Divergence Theorem by evaluating as a surface integral and as a triple integral. and let S be the cube bounded by the planes Let and let S be the cube bounded by the planes . Verify the Divergence Theorem by evaluating as a surface integral and as a triple integral. Let and let S be the cube bounded by the planes . Verify the Divergence Theorem by evaluating as a surface integral and as a triple integral. Let and let S be the cube bounded by the planes . Verify the Divergence Theorem by evaluating as a surface integral and as a triple integral. Let and let S be the cube bounded by the planes . Verify the Divergence Theorem by evaluating as a surface integral and as a triple integral. . Verify the Divergence Theorem by evaluating Let and let S be the cube bounded by the planes . Verify the Divergence Theorem by evaluating as a surface integral and as a triple integral. as a surface integral and as a triple integral.

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(Multiple Choice)
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Question 1
Correct Answer:
Verified

D

Use Divergence Theorem to evaluate Use Divergence Theorem to evaluate and find the outward flux of through the surface S of the solid bounded by the planes and find the outward flux of Use Divergence Theorem to evaluate and find the outward flux of through the surface S of the solid bounded by the planes through the surface S of the solid bounded by the planes Use Divergence Theorem to evaluate and find the outward flux of through the surface S of the solid bounded by the planes Use Divergence Theorem to evaluate and find the outward flux of through the surface S of the solid bounded by the planes Use Divergence Theorem to evaluate and find the outward flux of through the surface S of the solid bounded by the planes

Free
(Multiple Choice)
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Question 2
Correct Answer:
Verified

D

Use the Divergence Theorem to evaluate Use the Divergence Theorem to evaluate Verify your answer by evaluating the integral as a triple integral. S: cube bounded by the planes Verify your answer by evaluating the integral as a triple integral. Use the Divergence Theorem to evaluate Verify your answer by evaluating the integral as a triple integral. S: cube bounded by the planes S: cube bounded by the planes Use the Divergence Theorem to evaluate Verify your answer by evaluating the integral as a triple integral. S: cube bounded by the planes

Free
(Multiple Choice)
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Question 3
Correct Answer:
Verified

A

Use Divergence Theorem to evaluate Use Divergence Theorem to evaluate and find the outward flux of through the surface S of the solid bounded by the planes . and find the outward flux of Use Divergence Theorem to evaluate and find the outward flux of through the surface S of the solid bounded by the planes . through the surface S of the solid bounded by the planes Use Divergence Theorem to evaluate and find the outward flux of through the surface S of the solid bounded by the planes . Use Divergence Theorem to evaluate and find the outward flux of through the surface S of the solid bounded by the planes . .

(Multiple Choice)
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Question 4

Use Divergence Theorem to evaluate Use Divergence Theorem to evaluate and find the outward flux of through the surface S of the solid bounded by and find the outward flux of Use Divergence Theorem to evaluate and find the outward flux of through the surface S of the solid bounded by through the surface S of the solid bounded by Use Divergence Theorem to evaluate and find the outward flux of through the surface S of the solid bounded by

(Multiple Choice)
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Question 5

Use the Divergence Theorem to evaluate Use the Divergence Theorem to evaluate and find the outward flux of through the surface of the solid bounded by the graphs of the equations. Use a computer algebra system to verify your results. and find the outward flux of Use the Divergence Theorem to evaluate and find the outward flux of through the surface of the solid bounded by the graphs of the equations. Use a computer algebra system to verify your results. through the surface of the solid bounded by the graphs of the equations. Use a computer algebra system to verify your results. Use the Divergence Theorem to evaluate and find the outward flux of through the surface of the solid bounded by the graphs of the equations. Use a computer algebra system to verify your results.

(Multiple Choice)
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Question 6

Use Divergence Theorem to evaluate Use Divergence Theorem to evaluate and find the outward flux of through the surface S of the solid bounded by the sphere . and find the outward flux of Use Divergence Theorem to evaluate and find the outward flux of through the surface S of the solid bounded by the sphere . through the surface S of the solid bounded by the sphere Use Divergence Theorem to evaluate and find the outward flux of through the surface S of the solid bounded by the sphere . .

(Multiple Choice)
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Question 7

Use Divergence Theorem to evaluate Use Divergence Theorem to evaluate and find the outward flux of through the surface S of the solid bounded by and . and find the outward flux of Use Divergence Theorem to evaluate and find the outward flux of through the surface S of the solid bounded by and . through the surface S of the solid bounded by Use Divergence Theorem to evaluate and find the outward flux of through the surface S of the solid bounded by and . and Use Divergence Theorem to evaluate and find the outward flux of through the surface S of the solid bounded by and . .

(Multiple Choice)
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Question 8

Evaluate Evaluate , where and S is the closed surface of the solid bounded by the graphs , , and the coordinate planes. , where Evaluate , where and S is the closed surface of the solid bounded by the graphs , , and the coordinate planes. and S is the closed surface of the solid bounded by the graphs , Evaluate , where and S is the closed surface of the solid bounded by the graphs , , and the coordinate planes. , and the coordinate planes.

(Multiple Choice)
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Question 9

Let Let and let S be the surface bounded by and . Verify the Divergence Theorem by evaluating as a surface integral and as a triple integral. Round your answer to two decimal places. and let S be the surface bounded by Let and let S be the surface bounded by and . Verify the Divergence Theorem by evaluating as a surface integral and as a triple integral. Round your answer to two decimal places. and Let and let S be the surface bounded by and . Verify the Divergence Theorem by evaluating as a surface integral and as a triple integral. Round your answer to two decimal places. . Verify the Divergence Theorem by evaluating Let and let S be the surface bounded by and . Verify the Divergence Theorem by evaluating as a surface integral and as a triple integral. Round your answer to two decimal places. as a surface integral and as a triple integral. Round your answer to two decimal places.

(Multiple Choice)
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Question 10

Let Let and let S be the cylinder Verify the Divergence Theorem by evaluating as a surface integral and as a triple integral. and let S be the cylinder Let and let S be the cylinder Verify the Divergence Theorem by evaluating as a surface integral and as a triple integral. Verify the Divergence Theorem by evaluating Let and let S be the cylinder Verify the Divergence Theorem by evaluating as a surface integral and as a triple integral. as a surface integral and as a triple integral. Let and let S be the cylinder Verify the Divergence Theorem by evaluating as a surface integral and as a triple integral.

(Multiple Choice)
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Question 11

Use the Divergence Theorem to evaluate Use the Divergence Theorem to evaluate and find the outward flux of through the surface of the solid bounded by the graphs of the equations. Use a computer algebra system to verify your results. and find the outward flux of Use the Divergence Theorem to evaluate and find the outward flux of through the surface of the solid bounded by the graphs of the equations. Use a computer algebra system to verify your results. through the surface of the solid bounded by the graphs of the equations. Use a computer algebra system to verify your results. Use the Divergence Theorem to evaluate and find the outward flux of through the surface of the solid bounded by the graphs of the equations. Use a computer algebra system to verify your results.

(Multiple Choice)
4.8/5
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Question 12

Let Let and let S be the surface bounded by and . Verify the Divergence Theorem by evaluating as a surface integral and as a triple integral. Round your answer to two decimal places. and let S be the surface bounded by Let and let S be the surface bounded by and . Verify the Divergence Theorem by evaluating as a surface integral and as a triple integral. Round your answer to two decimal places. and Let and let S be the surface bounded by and . Verify the Divergence Theorem by evaluating as a surface integral and as a triple integral. Round your answer to two decimal places. . Verify the Divergence Theorem by evaluating Let and let S be the surface bounded by and . Verify the Divergence Theorem by evaluating as a surface integral and as a triple integral. Round your answer to two decimal places. as a surface integral and as a triple integral. Round your answer to two decimal places.

(Multiple Choice)
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Question 13

Evaluate Evaluate where S is the closed surface of the solid bounded by the graphs of where S is the closed surface of the solid bounded by the graphs of Evaluate where S is the closed surface of the solid bounded by the graphs of Evaluate where S is the closed surface of the solid bounded by the graphs of

(Multiple Choice)
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Question 14

Use the Divergence Theorem to evaluate Use the Divergence Theorem to evaluate and find the outward flux of through the surface of the solid bounded by the graphs of the equations. Use a computer algebra system to verify your results. and find the outward flux of Use the Divergence Theorem to evaluate and find the outward flux of through the surface of the solid bounded by the graphs of the equations. Use a computer algebra system to verify your results. through the surface of the solid bounded by the graphs of the equations. Use a computer algebra system to verify your results. Use the Divergence Theorem to evaluate and find the outward flux of through the surface of the solid bounded by the graphs of the equations. Use a computer algebra system to verify your results.

(Multiple Choice)
4.9/5
(41)
Question 15

Let Let and let S be the surface bounded by the planes and the coordinate planes. Verify the Divergence Theorem by evaluating as a surface integral and as a triple integral. Round your answer to two decimal places wherever applicable. and let S be the surface bounded by the planes Let and let S be the surface bounded by the planes and the coordinate planes. Verify the Divergence Theorem by evaluating as a surface integral and as a triple integral. Round your answer to two decimal places wherever applicable. and the coordinate planes. Verify the Divergence Theorem by evaluating Let and let S be the surface bounded by the planes and the coordinate planes. Verify the Divergence Theorem by evaluating as a surface integral and as a triple integral. Round your answer to two decimal places wherever applicable. as a surface integral and as a triple integral. Round your answer to two decimal places wherever applicable. Let and let S be the surface bounded by the planes and the coordinate planes. Verify the Divergence Theorem by evaluating as a surface integral and as a triple integral. Round your answer to two decimal places wherever applicable.

(Multiple Choice)
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Question 16

Let Let and let S be the surface bounded by the plane and the coordinates planes. Verify the Divergence Theorem by evaluating as a surface integral and as a triple integral. and let S be the surface bounded by the plane Let and let S be the surface bounded by the plane and the coordinates planes. Verify the Divergence Theorem by evaluating as a surface integral and as a triple integral. and the coordinates planes. Verify the Divergence Theorem by evaluating Let and let S be the surface bounded by the plane and the coordinates planes. Verify the Divergence Theorem by evaluating as a surface integral and as a triple integral. as a surface integral and as a triple integral. Let and let S be the surface bounded by the plane and the coordinates planes. Verify the Divergence Theorem by evaluating as a surface integral and as a triple integral.

(Multiple Choice)
5.0/5
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Question 17

Use Divergence Theorem to evaluate Use Divergence Theorem to evaluate and find the outward flux of through the surface S of the solid bounded by the planes . and find the outward flux of Use Divergence Theorem to evaluate and find the outward flux of through the surface S of the solid bounded by the planes . through the surface S of the solid bounded by the planes Use Divergence Theorem to evaluate and find the outward flux of through the surface S of the solid bounded by the planes . .

(Multiple Choice)
4.8/5
(38)
Question 18
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