Question: . Suppose we know that f(x) is continuous and differentiable on [2,14], with f(2) = 5 and f'(x) 10. What is the largest possible value

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Suppose we know that f(x) is continuous and differentiable on [2,14], with

Suppose we know that f(x) is continuous and differentiable on [2,14], with f(2) = 5 and f'(x) 10. What is the largest possible value for f(14)? Justify your reasoning.

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