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Vector Calculus

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work. I'm getting a really weird integral and I thought stokes theorem was suppose to simplify things.

Practice test #3.jpg

3. Let S be the portion of the paraboloid z = 4-x2 -y that lies above
the plane z = 0 and let F be the vector field
F = (z -y)i+ (x + =)j - (ery cosy)k.
Using Stoke's Theorem, find the surface integral
(/ (V XF).nds,
where n is the unit normal to S (the one that points in the direction
of positive z.)

Top Answer

boundary curve C is intersection of surface z = 4 - x 2 - y 2 and plane z = 0 z = 4 - x 2 - y 2 = 0 , or , x 2 + y 2 = 4 = 2... View the full answer

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