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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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13. What is the volume of the closed region in R3 bounded by the surfaces z = 0 and z = 4 – x2 – y2 ?
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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 D
The volume is given by the integral
where C is the circle bounded by x2 + y2 = 4. Switching to polar coordinates we get
