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For a 0 the following line forms a triangle in the first

Question: For a > 0, the following line forms a triangle in the first quadrant 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.

(d) What is this greatest area?

(e) If you want the triangle to have area 1/5, what choices do you have for a?

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Mathematics: For a 0 the following line forms a triangle in the first

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