Question: Let f(x) =e^-2x consider the rectangle with corners given by the points (0,0) (x,0) ((0, f(x)) (x,f(x)) where x>=0. Determine (a) the smallest possible perimeter

Let f(x) =e^-2x consider the rectangle with corners given by the points (0,0) (x,0) ((0, f(x)) (x,f(x)) where x>=0. Determine (a) the smallest possible perimeter of the rectangle (b) the largest possible area of the rectangle.

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