Rewrite the integral using spherical coordinates, where solid E is between the sphere of radius 1 centered at the origin on the top and the cone z = √√x² + y² on the bottom. Write the final integral but do not evaluate the integrals. T Hint: in spherical coordinates z =√√x² + y² changes to = 4 E (²³+²+³)³ dv dV

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 8E
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Rewrite the integral using spherical coordinates, where solid E is between the sphere of
radius 1 centered at the origin on the top and the cone z = √√x² + y² on the bottom. Write the
final integral but do not evaluate the integrals.
Hint: in spherical coordinates Z =
SS₂(x² + y² +2²³/2²
E
dV
x² + y² changes to :
T
4
X
Transcribed Image Text:Rewrite the integral using spherical coordinates, where solid E is between the sphere of radius 1 centered at the origin on the top and the cone z = √√x² + y² on the bottom. Write the final integral but do not evaluate the integrals. Hint: in spherical coordinates Z = SS₂(x² + y² +2²³/2² E dV x² + y² changes to : T 4 X
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