quiz4 - of F through S . 2 2. Find a number 0 such that c F...

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TAKE HOME QUIZ 4 20 minutes closed book due on Monday Dec 14 in class NAME: 1
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1. Let F ( x, y, z ) = ( - xy 2 z 4 , - yz 2 x 4 , zx 2 y 4 ) be a vector field and let S be the surface given by the equation z = x 2 + y 2 with x, y 0 and z [0 , a ]. Let S have the upwards orientation. Find the flux
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Unformatted text preview: of F through S . 2 2. Find a number 0 such that c F ds = 0 where F ( x, y, z ) = ( z, 4 y 3-1 , x ) and c : [0 , 2 ] R 3 is the parametrized curve c ( t ) = ( t, t , sin t )? 3...
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This note was uploaded on 11/05/2011 for the course MAT 203 at Princeton.

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quiz4 - of F through S . 2 2. Find a number 0 such that c F...

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