Answered: Let F(x, y) = 2xy³i+ (1+3x²y?)j. (a)… | bartleby

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7.
Let F(x, y) = 2xy³i + (1+ 3x?y?)j.
(a) Demonstrate that F is conservative.
(b) Find the potential function f such that Vf = F.
(c) Evaluate the line integral /
F. dr where C is given by r(t) = (t + 1)i + (2 - t2)j where 0<t< 2.

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