Surface Integral

freakdog1165

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May 11, 2020
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Find the flux of F(x,y,z) = <3x,3y,z> across the paraboloid z = 10-x^2-y^2, where z _>1 (greater than or = to)
Directly compute the surface integral

I have tried doing this problem and came up with an answer of -675pi/2 which I am sure is incorrect. Could anyone help me figure out what I did wrong?

There are some errors in the picture but I meant to change the limits of integration from 0 to sqrt 10 to 1 to sqrt 10. Sorry about that.

1589246150124.png
 
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