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Math · Advanced Math
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Let S be the part of the paraboloid2+y2 with 0 3z S1 oriented so that the normal points up. (a) Parametrize S and compute directly f Jcrl F.dA, where F (b) What is C, the boundary of S? Sketch S and show exactly where C is (c) Parametrize C and compute (d) Compare your answers to parts (a) and (c) to make sure that Stokes Theorem holds. Be careful with the orientations in case you have the wrong sign.

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