1. Let S be the part of the plane 2.x – 2y + z = 1 inside the “cylinder" whose walls are given by the equation 22 = 4(1 – y)²(1 – y²). Evaluation the surface integral (1+ y)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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1. Let S be the part of the plane 2x – 2y + z = 1 inside the "cylinder" whose walls are given by
the equation z? = 4(1 – y)²(1 – y²). Evaluation the surface integral
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(1+y)dS.
S
Transcribed Image Text:1. Let S be the part of the plane 2x – 2y + z = 1 inside the "cylinder" whose walls are given by the equation z? = 4(1 – y)²(1 – y²). Evaluation the surface integral - - - (1+y)dS. S
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