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Change the Cartesian Integral to an Equivalent Polar Integral, and Then

Question 99

Multiple Choice

Change the Cartesian integral to an equivalent polar integral, and then evaluate.
- 339y29y2(x2+y2) 5/2dxdy\int _ { - 3 } ^ { 3 } \int _ { - \sqrt { 9 - y ^ { 2 } } } ^ { \sqrt { 9 - y ^ { 2 } } } \left( x ^ { 2 } + y ^ { 2 } \right) ^ { 5 / 2 } d x d y


A) 21877π\frac { 2187 } { 7 } \pi
B) 14587π\frac { 1458 } { 7 } \pi
C) 7297π\frac { 729 } { 7 } \pi
D) 43747π\frac { 4374 } { 7 } \pi

Correct Answer:

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