Undergraduate

Let M be the capped cylindrical surface which is the union of two surfaces, a cylinder given by x 2 + y 2 = 9

Let M be the capped cylindrical surface which is the union of two surfaces, a cylinder given by x2+y2=9,0z1, and a hemispherical cap defined by x2+y2+(z1)2=9,z1. For the vector field F=(zx+z2y+7y,z3yx+9x,z4x2), compute M(F)dS in any way you like.
M(F)dS=

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