The hypotenuse of a right triangle has one end at the origin and one end on the curve y(x) = x595", with x 2 0 . One of the other two sides is on the xaxis, the other side is parallel to the yaxis. V (a) Express the area of the triangle in terms ofx only. A(X) = life5" 2 0/ 6 5x (b) Find A '(x) = L '32 + 3x5e_5x (c) Find the critical point forx > 0. x: X (d) Find the maximum area of the triangle. Give an exact answer. Area =