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August 27th, 2017, 05:12 AM  #1 
Member Joined: May 2017 From: Slovenia Posts: 91 Thanks: 0  Divergence theorem  confused over here
Okay so I found two solved examples (attached). The first one says: F (x, y, z) = (y, −x, z) and P is the bottom part of the surface: z^(x^2+y^2), x^2+y^2<2. Find the flux. The second one says: F(x,y,z) = (z*e^(y^2), x^2+1, z). P is bottom part of the spherical cap: x^2+y^2+(z5)^2=25, z>8 Find the flux. But they are solved differently. The first one is oriented with (0,0,1) and second one with (0,0,1). Also the formula is different. And now I'm confused why? Last edited by sarajoveska; August 27th, 2017 at 05:22 AM. 

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