The goal of this problem is to find the maximum area of a rectangle whose lower-left vertex is at the origin and whose upper-right vertex is on the curve g(x) = V38- x. (d) The width of the rectangle with the maximum area is w = |. Enter an exact number only. (e) The maximum possible area of such a rectangle is number only. Enter an exact For this problem, let w denote the (horizontal) width of the rectangle and let h be the (vertical) height of the rectangle. See the figure below.

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