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The hypotenuse of a right triangle has one end at the

Question: The hypotenuse of a right triangle has one end at the origin and one end on the curve y = x2e-3x, with x ≥ 0. One of the other two sides is on the x-axis, the other side is parallel to the y-axis. Find the maximum area of such a triangle. At what x-value does it occur?

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Mathematics: The hypotenuse of a right triangle has one end at the

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