Suppose F(x, y, z) = (x, y, 5z). Let W be the solid bounded by the paraboloid z = x² + y² and the plane z = 9. Let S be the closed boundary of W oriented outward. (a) Use the divergence theorem to find the flux of 7 through S. JfF.dà S = || (b) Find the flux of F out the bottom of S (the truncated paraboloid) and the top of S (the disk). Flux out the bottom= Flux out the top =

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Q: 8. Find the flux of F = (2x – 5y², 3y, x) out of the sphcre of radius 2 centered at the origin.

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A: Given that  and the cube  bounded by the planes The Divergence Theorem

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Q: Find the Jacobian w/ respect to UVW X=U(3-v), Y= uv(3-w), Z=Uw

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Q: Let f(x, y) = 4x² + 5y³ A) Find the equation of the plane that passes through the point (2, -2, ƒ(2,…

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