Question: Let M be the capped cylindrical surface which is the union of two surfaces, a cylinder given by x + y = 1, 0

Let M be the capped cylindrical surface which is the union of two surfaces, a cylinder given by x + y = 1, 0 z 1, and a hemispherical cap defined by x + y + (z 1) = 1, z 1. For the vector field (zx + zy+3y, zyx + 5x, zx), compute SSM(V x F). dS in any way you like. F = SM(V x F) .ds =

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