a) Let D be the disk of radius 4 in the xy-plane centered at the origin....

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Basic Math

a) Let D be the disk of radius 4 in the xy-plane centered at theorigin. Find the biggest and the smallest values of the functionf(x, y) = x 2 + y 2 + 2x − 4y on D.

b) Let R be the triangle in the xy-plane with vertices at (0,0),(10, 0) and (0, 20) (R includes the sides as well as the insideof the triangle). Find the biggest and the smallest values of thefunction g(x, y) = xy(20 − 2x − y) on R.

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