Posted by **George** on Tuesday, October 21, 2008 at 5:30pm.

The hypotenuse of a right triangle has one end at the origin and one end on the curve y=x^(7)e^(-7x) , with x greater than or equal to 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. Round your answer to 4 decimal places.

Maximum Area =

At what x-value does it occur?

Any help on these two questions would be greatly appreciated.

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