For a > 0, the following line forms a triangle in the firstquadrant with the x- and

Chapter 4, Problem 78

(choose chapter or problem)

For a > 0, the following line forms a triangle in the firstquadrant with the x- and y-axes:a(a2 + 1)y = a x.(a) In terms of a, find the x- and y-intercepts of the line.(b) Find the area of the triangle, as a function of a.(c) Find the value of a making the area a maximum.(d) What is this greatest area?(e) If you want the triangle to have area 1/5, whatchoices do you have for a?

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