Question: Question 3. (a) (5 marks) Suppose 2 < f'(x) 4 for all values of x. Prove that 4 (7) (5) 8. (b)(5 marks) Show

Question 3. (a) (5 marks) Suppose 2 < f'(x) 4 for all values of x. Prove that 4 (7) (5) 8. (b)(5 marks) Show that r(0) = 0 + sin - 8 has exactly one real zero. Exercise 4.(10 marks) Find the local extrema of the following functions. Be sure to identify if it is maximum or a minimum. (a) f(x)=-2e-x-5|, x R. (b) g(x) = xex, x = R.

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