Question: The line 1 y = (a - x), where a 2 0 a(a2 + 2) forms a triangle in the first quadrant with the x-

The line 1 y = (a - x), where a 2 0 a(a2 + 2) forms a triangle in the first quadrant with the x- and y- axes. (a) Find the x- and y-intercepts of the line. Give your answers in terms of a . (b) What is the area of the triangle? Write your answer as a function of a . (c) Find the value of a such that the area is a local maximum. Verify using the fir derivative test. (d) Determine whether the above local maximum is a global maximum

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