(915, #7) Let F(x,y) = < e2x + x sin(y), x2 cos(y)> = Determine whether or not F is conservative

(915, #7) Let F(x,y) = < e^2x + x sin(y), x² cos(y)> = <P, Q> Determine whether or not F is conservative. If it is, find a potential.

Solution: F is not conservative, for

P_y = x cos(y) is not equal to Q_x = 2 x cos(y).