Question

Evaluate the surface integral. ∬S (z + x^2y) dS S is the part of the cylinder y^2 + z^2 = 16 that lies between the planes x = 0 and x = 9 in the first octant.

          Evaluate the surface integral. ∬S (z + x^2y) dS
S is the part of the cylinder y^2 + z^2 = 16 that lies between
the planes x = 0 and x = 9 in the first octant.
        

Added by Victor S.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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Evaluate the surface integral. ∬S (z + x^2y) dS S is the part of the cylinder y^2 + z^2 = 16 that lies between the planes x = 0 and x = 9 in the first octant.
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Transcript

-
0:00 Hi.
00:01 In this question we have been given double integral over s.
00:07 Z plus x square into y, d s.
00:11 Also the cylinder is given y square plus z square is equal to 16.
00:17 This implies that r square is 16 which implies that r will be equal to 4.
00:25 Also, x it lies between 0 and 9...
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