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Consider the one-parameter family of functions given by p(x) = 5x- ax2 + 2 where a > 0. Determine p'(x). p'(x) = The function

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Consider the one-parameter family of functions given by p(x) = 5x- ax2 + 2 where a > 0. Determine p'(x). p'(x) = The function p(x) has exactly two critical points. The leftmost critical point is at x = and the rightmost critical point is at 2 = Determine p''(x). p''(x) = The function p(a) has exactly one inflection point at x = A where A = p(x) is Select an answer for < A and Select an answer for > A. If the value of a is increased, what happens to the location of the critical numbers and the inflection point? O Both critical points and the inflection point move left. O Both critical points and the inflection point move right. O One critical point and the inflection point move left. The other critical point stays fixed. One critical point and the inflection point move right. The other critical point stays fixed. It is impossible to tell, in general, how the location of these points will

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