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1. Let f(x, y) = 2x +2y . (a) (8 pts) Write the domain of f using set-builder notation. 4x+ y (b) (18 pts) Sketch

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1. Let f(x, y) = 2x +2y . (a) (8 pts) Write the domain of f using set-builder notation. 4x+ y (b) (18 pts) Sketch the domain of f in the xy-plane. You must justify your sketch with at least four test points. 4 -3 -2 -1 0 3 HN. -2 (c) (6 pts) Write the equation for the level curve of z = f(x, y) when - 3 z =1. Solve for y in terms of x

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