Let S be the silo surface, that is, S is the union of two smooth surfaces S1 and S2

Chapter 7, Problem 5

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Let S be the silo surface, that is, S is the union of two smooth surfaces S1 and S2, where S1 is defined by x 2 + y2 = 9, 0 z 8 and S2 is defined by x 2 + y2 + (z 8)2 = 9, z 8. Find S F dS, where F = (x 3 + x z + yz2 ) i + (xyz3 + y7 ) j + x 2z5 k.

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