F(x, y) = (3 + 4xy2)i + 4x2yj, C is the arc of the hyperbola y = 1/x from (1, 1) to 2, 1 2 (a) Find a function f such that F = ∇f. f(x, y) = (b) Use part (a) to evaluate C F · dr along the given curve C.

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