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11 Nov 2019
Suppose F (x,y,z)=x,y,5z. Let W be the solid bounded by the paraboloid z=x2+y2 and the plane z=16. Let S be the closed boundary of W oriented outward. (a) Use the divergence theorem to find the flux of F through S. SF dA= (b) Find the flux of F out the bottom of S (the truncated paraboloid) and the top of S (the disk).
Suppose F (x,y,z)=x,y,5z. Let W be the solid bounded by the paraboloid z=x2+y2 and the plane z=16. Let S be the closed boundary of W oriented outward. (a) Use the divergence theorem to find the flux of F through S. SF dA= (b) Find the flux of F out the bottom of S (the truncated paraboloid) and the top of S (the disk).
Hubert KochLv2
14 Feb 2019
