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A.
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B.
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C.
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D.
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E.
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16. What is the volume of the closed region in R3 bounded by z = 9 – x2 – y2 and z = 0 ?
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A.
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B.
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C.
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D.
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E.
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Solution: The answer is C
The following is a graph of the surface and closed region in R3:
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Notice that the closed region forms a circle of radius 3 on the xy-plane. Thus
Switching to polar coordinates we obtain
