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(3) In this problem you will see an example of finding the extreme values of a function of two variables on a bounded region
(3) In this problem you will see an example of finding the extreme values of a function of two variables on a bounded region D (including the boundary). Let f(x, y) = x-2xy + 2y and D be the region bounded by the triangle whose vertices are (0,0), (0,2), and (3,2). (a) The line segment between (0,0) and (0,2): Let g(y) = f(0,y) for 0 y 2. Find the absolute extrema of g as you did in differential calculus. Be sure to check the endpoints. (b) The line segment between (0,2) and (3,2): Let h(x) = f(x, 2) for 0 < x
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