Problem 2 CONSERVATIVE VECTOR FIELD -Y The vector field F(x, y) = (²+ y²) (2²+ y2) is defined on the region 9 = {(x, y) = (0,0)}. (i) Is a simply connected region? (ii) Show that F satisfies the cross-partials conditions. Does this guarantee that F is conservative? (iii) Show that F is conservative on by finding a potential function.

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