Consider the triple integral I = S 8zdV over the region D bounded by %3D z = 2x? + 2y2 – 4 and z = 5 – x2 – y? where x > 0 and y > 0. By converting to cylindrical coordinates, the limits of integration of z are:

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Consider the triple integral I = fff 8zdV over the region D bounded by
z = 2x? + 2y? – 4 and z = 5 – x? – y? where x> 0 and y > 0. By converting
to cylindrical coordinates, the limits of integration of z are:
A. 0<z<5-p²
B. 2r? – 4 <z< 5 - r?
C. 5-r? <z< 2r² – 4
D. None of the above
Transcribed Image Text:Consider the triple integral I = fff 8zdV over the region D bounded by z = 2x? + 2y? – 4 and z = 5 – x? – y? where x> 0 and y > 0. By converting to cylindrical coordinates, the limits of integration of z are: A. 0<z<5-p² B. 2r? – 4 <z< 5 - r? C. 5-r? <z< 2r² – 4 D. None of the above
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