By changing to spherical coordinates, calculate =JJ₂₁ _e(x²+y²+z²)³/²/² dV, where D is the D region in the first octant between the planes y = 2x and y = 4x, above the cone A = z = √3(x² + y²), and between the spheres x² + y² + z² = 2 and x² + y² + z² = 4. Then sin(4A) is

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 104E
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By changing to spherical coordinates, calculate
J e(x²+3²+x²)³/²/2 dV, where D is the
D
region in the first octant between the planes
y = 2x and y 4x, above the cone
=
A
2 = 3(x² + y²), and between the spheres
x² + y² + z² = 2 and x² + y² + z² = 4.
Then sin(44) is
Transcribed Image Text:By changing to spherical coordinates, calculate J e(x²+3²+x²)³/²/2 dV, where D is the D region in the first octant between the planes y = 2x and y 4x, above the cone = A 2 = 3(x² + y²), and between the spheres x² + y² + z² = 2 and x² + y² + z² = 4. Then sin(44) is
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