(²+²+²/2/2 V, where D is the By changing to spherical coordinates, calculate A = region in the first octant between the planes y = 2x and y = 4x, above the cone Z= √2(x² + y²), and between the spheres x² + y² + x² = 1 and x² + y² + z² = 3. Then sin(44) is

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter76: Drilling And Boring Compound-angular Holes
Section: Chapter Questions
Problem 2A
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By changing to spherical coordinates, calculate A:
=
e(x²+y²+z²³) ³¹² /2 dV, where D is the
region in the first octant between the planes y = 2x and y
=
4x, above the cone
2 = 2(x² + y²), and between the spheres x² + y² + ² = 1 and x² + y² + z²
Then sin(44) is
= 3.
Transcribed Image Text:By changing to spherical coordinates, calculate A: = e(x²+y²+z²³) ³¹² /2 dV, where D is the region in the first octant between the planes y = 2x and y = 4x, above the cone 2 = 2(x² + y²), and between the spheres x² + y² + ² = 1 and x² + y² + z² Then sin(44) is = 3.
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