2. For each problem, sketch the constraint curve g(x,y) = C along with a contour diagram for f(x,y). Then indicate the points on the constraint curve where f(x,y) attains maximum or minimum values. a.) ƒ(x,y) = x + 2y g(x,y) = 4x² + y² = 4 b.) f(x,y) = xy g(x,y) = x² + 9y² = 9 %3D c.) f(x,y) = x² + y? g(x,y) = 2x + y = 5

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