Question: Match the functions f with the plots of their gradient vector fields labeled IIV. Give reasons for your choices. f (x, y) = (x +

Match the functions f with the plots of their gradient
vector fields labeled I–IV. Give reasons for your choices.

f (x, y) = (x + y)2 II 4 4 4 4 -4 -4 -4 -4 Ш IV 4 4 -4 -4 4 -4 -4 4-

II 4 4 4 4 -4 -4 -4 -4 IV 4 4 -4 -4 4 -4 -4 4-

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