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suppose F(x,y,z)=(x,y,5z). Let W be the solid bounded by the paraboloid z=x^2+y^2 and the plane z=25. Let S be the closed boundary of W oriented outward. Find the flux of F out the bottom of S (the truncated paraboloid) and the top of S (the disk).
 one year ago
 one year ago
suppose F(x,y,z)=(x,y,5z). Let W be the solid bounded by the paraboloid z=x^2+y^2 and the plane z=25. Let S be the closed boundary of W oriented outward. Find the flux of F out the bottom of S (the truncated paraboloid) and the top of S (the disk).
 one year ago
 one year ago

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XavierBest ResponseYou've already chosen the best response.0
A bit rusty of multivariable but could you use stokes to relate the flux to the line integral around the circle formed by the intersection of the paraboloid and the plane.
 one year ago

XavierBest ResponseYou've already chosen the best response.0
Or perhaps Divergence (Gauss) would be better seeing as this is reminiscent of those electrostatic problems
 one year ago
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