- #1
andrec
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Hi, so this is my first time on this forum and I've just gotten very frustrated with trying to understand this one problem. I got part A by using divergence theorem but I don't know how go about computing part B.
Suppose F⃗ (x,y,z)=⟨x,y,5z⟩. Let W be the solid bounded by the paraboloid z=x2+y2 and the plane z=4. Let S be the closed boundary of W oriented outward.
(a) Use the divergence theorem to find the flux of F⃗ through S.
∬s F⃗ ⋅dA⃗ = 56pi
(b) Find the flux of F⃗ out the bottom of S (the truncated paraboloid) and the top of S (the disk).
Flux out the bottom =
Flux out the top =
Thanks for your help.
BTW, side question. What exactly is the difference in the Surface and Flux integral.
Suppose F⃗ (x,y,z)=⟨x,y,5z⟩. Let W be the solid bounded by the paraboloid z=x2+y2 and the plane z=4. Let S be the closed boundary of W oriented outward.
(a) Use the divergence theorem to find the flux of F⃗ through S.
∬s F⃗ ⋅dA⃗ = 56pi
(b) Find the flux of F⃗ out the bottom of S (the truncated paraboloid) and the top of S (the disk).
Flux out the bottom =
Flux out the top =
Thanks for your help.
BTW, side question. What exactly is the difference in the Surface and Flux integral.