Question 4
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Consider the vector field F = (10xy, 5x^2 + 18y^2).
The vector field is not conservative.
The vector field is conservative, and the potential function such that f(0,0) = 0 for F is f(x,y) = 5x^2y + 6y^3 + K.
If F is conservative, use f(x,y) to evaluate ∫_C F · dr along a piecewise smooth curve (C) from (-1,-1) to (4,4).
∫_C F · dr = 0^(8)