Question: Problem 4. (20 points) Consider the set of all rectangles that lie in the first quadrant, have one edge along the positive x-axis, one

Problem 4. (20 points) Consider the set of all rectangles that lie in the first quadrant, have one edge along the positive x-axis, one corner at the origin, and the diagonally opposite corner on the curve y = e. Find the dimensions of the rectangle in the set that has the largest area.

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