Question: Question 3 [14 marks] (a) Let f (x) = 1 e -1/x2 if x # 0, 0 if x = 0. Show that f is

Question 3 [14 marks] (a) Let f (x) = 1 e

Question 3 [14 marks] (a) Let f (x) = 1 e -1/x2 if x # 0, 0 if x = 0. Show that f is twice differentiable and find f"(x). (b) Evaluate the following definite integral x2 (x2 + 4)3/2 ;dx. Leave the answer in its exact form

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