Mean value evaluation

Calculus Level 2

f(x)f(x) is a differentiable function that satisfies 5f(x)145 \leq f'(x) \leq 14 for all xx. Let aa and bb be the maximum and minimum values, respectively, that f(11)f(3)f(11)-f(3) can possibly have, then what is the value of a+b?a+b?

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