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Let f(x) =(x)^3/2 (a) Find the second Taylor polynomial T2(x) based at b = 1. x3....

Let f(x) =(x)^3/2 (a) Find the second Taylor polynomial T2(x) based at b = 1. x3. (b) Find an upper bound for |T2(x)−f(x)| on the interval [1−a,1+a]. Assume 0 < a < 1. Your answer should be in terms of a. (c) Find a value of a such that 0 < a < 1 and |T2(x)−f(x)| ≤ 0.004 for all x in [1−a,1+a].

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