Express the area of the triangle in terms of x

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The hypotenuse of a right triangle has one end at the origin and one end on the curve y(x) = X³e^-5x, with x ≥0 . One of the other two sides is on the x-axis, the other side is parallel to the y-axis.

2353_The hypotenuse of a right triangle.png

(a) Express the area of the triangle in terms of x only.

(b) Find A '(x)

(d) Find the maximum area of the triangle. Give an exact answer.

Reference no: EM131008838

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