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Convert the Integral Below from Rectangular Coordinates to Both Cylindrical 339x29x2x2+y29xdzdydx \int_{-3}^{3} \int_{-\sqrt{9-x^{2}}}^{\sqrt {9-x^2}}\int_{x^2+y^2}^{9} x d z d y d x

Question 1

Multiple Choice

Convert the integral below from rectangular coordinates to both cylindrical and spherical coordinates, and evaluate the simpler iterated integral.
339x29x2x2+y29xdzdydx \int_{-3}^{3} \int_{-\sqrt{9-x^{2}}}^{\sqrt {9-x^2}}\int_{x^2+y^2}^{9} x d z d y d x


A) 8π8 \pi
B) 14\frac { 1 } { 4 }
C) 14π\frac { 1 } { 4 } \pi
D) 2π2 \pi
E) 0

Correct Answer:

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