do not copy from others (2²+y²-1)dV, where D is the solid bounded above by the surfacebelow by (x, y)-plane and enclosed by the cylinder z² + y² = 1.9. Evaluate the triple integralz=2-2²-y²,

Given Information: The region D is bounded above by surface z=2-x2-y2 , below by xy plane and…

Answered: 9. Evaluate the triple integral…

9. Evaluate the triple integral (2²+y2-1)dV, where D is the solid bounded above by the surface z=2-2²-y², below by (z,y)-plane and enclosed by the cylinder z² + y2 = 1.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter8: Further Techniques And Applications Of Integration

Section8.3: Volume And Average Value

Problem 11E

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Question

do not copy from others

(2²+y²-1)dV, where D is the solid bounded above by the surface
below by (x, y)-plane and enclosed by the cylinder z² + y² = 1.
9. Evaluate the triple integral
z=2-2²-y²,

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