Evaluate S F ds, where and S is the surface of the region E bounded

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Evaluate ∫∫S F · ds, where

F(x, y, z)=xy i+ (y + e*)j + sin(xy) k

and S is the surface of the region E bounded by the parabolic cylinder z = 1 – x3 and the planes z = 0, y = 0, and y + z = 2. (See Figure 2.)


Figure 2

(1,0,0) X' ZA (0,0,1) y = 2-z z=1-x (0,2,0) y

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Calculus

ISBN: 9780495011606

6th Edition

Authors: James Stewart

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