Question: How do I solve this? 4) a) (Ex 7.5.6 4pts) Evaluate the integral j/S(:r:22 + y2z)dS Where S is the part of the plane 3
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4) a) (Ex 7.5.6 4pts) Evaluate the integral j/S(:r:22 + y2z)dS Where S is the part of the plane 3 = 4 + .7: + y that lies inside the cylinder 1'2 + yr: = 4. b) (Ex. 7.5.14 4pts) Evaluate the surface integral SS 22dS where S is the boundary of the cube [-1, 1] x [-1, 1] x [-1, 1] (Hint: Do each face separately and add the results) 5) (Ex. 7.6.2 4pts) Evaluate the surface integral F . ds where F(x, y, z) = xi + yj + 22k and S is the surface parameterized by P(u, v) = (2 sin(u), 3 cos(u), v) with 0
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