Set up an integral in cylindrical coordinates to evaluate I| ry dV where E is the region enclosed by the cone z = 3 2² + y², the cylinder 2? + y = 4, and the ry plane. Choose values from the domains: r > 0, 0 < 0 < 2n, and - 00 < z < ∞. Enter theta to denote 0 and pi to denote 7. dz dr de Complete the integration. Enter an exact answer.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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Set up an integral in cylindrical coordinates to evaluate
xy dV where E is the region enclosed by
the cone 2 =
3
Vx² + y°, the cylinder r? + y = 4, and the ry plane.
3
Choose values from the domains: r > 0, 0 < 0 < 2n, and -0 < z < o. Enter theta to denote 0 and
pi to denote T.
dz dr de
Complete the integration. Enter an exact answer.
Transcribed Image Text:Set up an integral in cylindrical coordinates to evaluate xy dV where E is the region enclosed by the cone 2 = 3 Vx² + y°, the cylinder r? + y = 4, and the ry plane. 3 Choose values from the domains: r > 0, 0 < 0 < 2n, and -0 < z < o. Enter theta to denote 0 and pi to denote T. dz dr de Complete the integration. Enter an exact answer.
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