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Verify that F = ?f for F = <sin y2, 2xycosy2> and f(x,y) = xsiny2 over the path of the line segment from (2,0) to (3,vp)

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Related questions

Consider the force field F(x,y) = < (5x2y3/2)/2 - 2x, 2y + 1 - 2xy5/2 >

a) Use Green's Theorem to find the work done by the field in moving an object along the rectangular path from (0,0) to (0,1) to (2,1) to (2,0) to (0,0).

b) Let C1 be the line segment from (2,0) to (2,1) and C2 the parabolic curve r(t) = < -t, (t + 1)2 > , -2 < t < 1. Find the outward flux of F across C = C1 U C2.

(given F is source free)


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