= (2² +²+2)/2/2 dV, where D is the region in the first octant By changing to spherical coordinates, calculate A = = D 4x, above the cone z = between the planes y 3x and y + y² + z² = 2 and x² + y² + z² = 4. Then sin(4A) is /3(x² + y²), and between the spheres -0.170 0.420 -0.027 0.255 0.983 0.977 -0.879 -0.595

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
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= (2² +²+2)/2/2 dV, where D is the region in the first octant
By changing to spherical coordinates, calculate A =
=
D
4x, above the cone z =
between the planes y 3x and y
+ y² + z² = 2 and x² + y² + z²
= 4. Then sin(4A) is
/3(x² + y²), and between the spheres
-0.170
0.420
-0.027
0.255
0.983
0.977
-0.879
-0.595
Transcribed Image Text:= (2² +²+2)/2/2 dV, where D is the region in the first octant By changing to spherical coordinates, calculate A = = D 4x, above the cone z = between the planes y 3x and y + y² + z² = 2 and x² + y² + z² = 4. Then sin(4A) is /3(x² + y²), and between the spheres -0.170 0.420 -0.027 0.255 0.983 0.977 -0.879 -0.595
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