F-dS where 50. Use the Divergence Theorem to calculate the surface integral F S F(x, y, z)=sin(y+z)i + (4x²y + 4y³)j + 8x²zk and S is the surface of the solid bounded by the paraboloid z=4-x²-y² and the xy-plane. a. 256 z b. -6407 c. 768 T d. 128 π e. 512 π
F-dS where 50. Use the Divergence Theorem to calculate the surface integral F S F(x, y, z)=sin(y+z)i + (4x²y + 4y³)j + 8x²zk and S is the surface of the solid bounded by the paraboloid z=4-x²-y² and the xy-plane. a. 256 z b. -6407 c. 768 T d. 128 π e. 512 π
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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