Question: Please answer number 5 5. (7 points) Use Gauss' theorem to evaluate the surface integral F . ds, where F(x, y, z) = x2i+ y?j+

 Please answer number 5 5. (7 points) Use Gauss' theorem to

Please answer number 5

evaluate the surface integral F . ds, where F(x, y, z) =

5. (7 points) Use Gauss' theorem to evaluate the surface integral F . ds, where F(x, y, z) = x2i+ y?j+ (3z + x)k and S is the upper unit hemisphere with the bottom disk included, oriented outward. (In other words, S is given by x2 + y + 23 = 1 with > > 0 and z = 0 with x2 + yz

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