The curve, C, is given as y = x 2 ax + b/2x 1. Given

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The curve, C, is given as y = x2 – ax + b/2x – 1. Given that one of the asymptotes is y = 1/2x + 5/4 and that one of the points of intersection is (0, 4):

a. Find the values of a and b

b. Determine the number of turning points sketch C.

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