Let S be the full sphere of radius 5, oriented outward. Recall that S can be described by the equation x2 + y? + z? = 25. Let F(x, y, z) < 2³ – 5 sin(y), y³ + 8xz*, z³ + 3e*y >. Find the value of the surface integral F· dS

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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Let S be the full sphere of radius 5, oriented outward. Recall that S can be described by the equation
x? + y? + z?
25.
||
Let F(x, y, z)
< 2³ – 5 sin(y), y³ + 8xz*,
23
+ 3e*y
> .
Find the value of the surface integral
F. dS
Transcribed Image Text:Let S be the full sphere of radius 5, oriented outward. Recall that S can be described by the equation x? + y? + z? 25. || Let F(x, y, z) < 2³ – 5 sin(y), y³ + 8xz*, 23 + 3e*y > . Find the value of the surface integral F. dS
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