Use spherical coordinates to evaluate 3 √9-x² 9-x²-y² x² + y² + z² 1 + (x² + y² + z²)² Hint: Draw the volume of integration in (x, y, z) space to determine what the bounds are in (p, 0, 0) space. dzdydx.

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 22E
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Use spherical coordinates to evaluate
√9-x²
space.
9-x²-y²
*
V₁
x² + y² + 2²
1+ (x² + y² + z²)²
Hint: Draw the volume of integration in (x, y, z) space to determine what the bounds are in (p, 0, 0)
dzdydx.
Transcribed Image Text:Use spherical coordinates to evaluate √9-x² space. 9-x²-y² * V₁ x² + y² + 2² 1+ (x² + y² + z²)² Hint: Draw the volume of integration in (x, y, z) space to determine what the bounds are in (p, 0, 0) dzdydx.
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