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Question 4 (a) Show that the equation ex = = has at least one real solution. (10 marks) (b) Let f be a differentiable function.

Question 4 (a) Show that the equation ex = = has at least one real solution. (10 marks) (b) Let f be a differentiable function. Define a new function g by g(x) =f(x) +f(3 -x). Show that g'(x) = 0 has at least one real solution. (10 marks)

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