Question: Consider the vector field F and the curve C below. F ( x , y ) = (9+8 xy 2 ) i +8 x 2

Consider the vector fieldF and the curveCbelow.

F(x,y) = (9+8xy2)i+8x2yj,

Cis the arc of the hyperbolay= 1/xfrom (1, 1) to(5,1/5)

(a) Find a potential functionfsuch thatF=f.

f(x,y) =

(b) Use part (a) to evaluateintegral C fdr along the given curveC.

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