Use spherical coordinates to evaluate the triple integralEAnswer =e¯(x²+y²+z²)x² + y² +z²where E is the region bounded by the spheres x² + y² + z² = 1 and x² + y² + z²= 4.dV,

We have to find the value of required integral.

Answered: Use spherical coordinates to evaluate…

Use spherical coordinates to evaluate the triple integral e-(x²+y²+z²) x² + y² + z² where E is the region bounded by the spheres x² + y² + x² = 1 and x² + y² + z² = 4. Answer= JJJ E dV,

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 15E

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Question

Use spherical coordinates to evaluate the triple integral
E
Answer =
e¯(x²+y²+z²)
x² + y² +z²
where E is the region bounded by the spheres x² + y² + z² = 1 and x² + y² + z²
= 4.
dV,

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