Calculate Ji F. ds where S F = (4x³z, 4y³z, 3z4) and S is the surface of the solid bounded by the hemispheres z = and the plane z = 0. 16 - x² - y², z = 1 - x² - y²

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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6.8.3

Calculate
1.₂5
S
· ds where
F = (4x³z, 4y³z, 3z¹)
and S is the surface of the solid bounded by the hemispheres z = √/16 - x² - y², z =
and the plane z = 0.
− x² - y²
Transcribed Image Text:Calculate 1.₂5 S · ds where F = (4x³z, 4y³z, 3z¹) and S is the surface of the solid bounded by the hemispheres z = √/16 - x² - y², z = and the plane z = 0. − x² - y²
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