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Use spherical coordinates to integrate f(x, y, z) = x² + y² + z² = 81. (Give an exact answer. Use symbolic notation and fractions where needed.) + y² + over the solid E between the spheres x² + y² + z² = 4 and

Use spherical coordinates to integrate f(x, y, z) = x² + y² + z² = 81. (Give an exact answer. Use symbolic notation and fractions where needed.) + y² + over the solid E between the spheres x² + y² + z² = 4 and

Elementary Geometry For College Students, 7e
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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Use spherical coordinates to integrate f(x, y, z) = √√x² + y² + z² over the solid E between the spheres x² + y² + z² = 4 and x² + y² + z² (Give an exact answer. Use symbolic notation and fractions where needed.) = 81. =
Transcribed Image Text:Use spherical coordinates to integrate f(x, y, z) = √√x² + y² + z² over the solid E between the spheres x² + y² + z² = 4 and x² + y² + z² (Give an exact answer. Use symbolic notation and fractions where needed.) = 81. =
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