4 Set up an integral in spherical coordinates to evaluate dV, where E is the region E x² + y² + z² = 9 in the octant given by x > 0, y < 0, bounded by the spheres x² + y² + z² = 1 and x² + y² + z² and z < 0. Z X Choose values from the domains: p≥ 0, 0≤ 0 ≤ 2π, and 0 ≤ ≤ π. Enter rho to denote p, theta to denote , phi to denote , and pi to denote . s 888 Complete the integration. Enter an exact answer. dp de do

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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[[SE
Set up an integral in spherical coordinates to evaluate
bounded by the spheres x² + y² + x² = 1 and x² + y² + z²
and z < 0.
Z
X
Choose values from the domains: p≥ 0, 0≤ 0 ≤ 2π, and 0 ≤ ≤ T. Enter rho to denote p, theta to
denote , phi to denote , and pi to denote .
8 188
Complete the integration. Enter an exact answer.
4
dV, where E is the region
x² + y² + z²
-
9 in the octant given by x > 0, y < 0,
dp de do
Transcribed Image Text:[[SE Set up an integral in spherical coordinates to evaluate bounded by the spheres x² + y² + x² = 1 and x² + y² + z² and z < 0. Z X Choose values from the domains: p≥ 0, 0≤ 0 ≤ 2π, and 0 ≤ ≤ T. Enter rho to denote p, theta to denote , phi to denote , and pi to denote . 8 188 Complete the integration. Enter an exact answer. 4 dV, where E is the region x² + y² + z² - 9 in the octant given by x > 0, y < 0, dp de do
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