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13 Nov 2019

F(x,y)=(4xy3+8)i+(6x2y2+2e2y)jF(x,y)=(4xy3+8)i+(6x2y2+2e2y)j

is conservative by finding a potential function ff for FF, and use ff to compute ∫CF⋠dr∫CF⋠dr, where CC is the curve given by

r(t)=2sin9ti+2tπsin105tjr(t)=2sin9⁡ti+2tπsin10⁡5tj

for 0≤t≤π/20≤t≤π/2.

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Beverley Smith
Beverley SmithLv2
6 Sep 2019

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