Question: Let f(x) = sin(x) + 15x. We can check easily that f(0) = 0. Explain using the Mean Value Theorem why it is impossible for

Let f(x) = sin(x) + 15x. We can check easily that f(0) = 0. Explain using the Mean Value Theorem why it is impossible for there to be another value z where f(z) = 0. (Hint: Suppose there was another value z where f(z) = 0. What would the MVT tell us about the interval [0, z]? And why is that not possible?)

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