Consider the function f(x)=2sin(x/7) on the interval [0,15]. Find the average or mean slope of the function on this interval. Enter at least 4 decimal places in your answer. By the Mean Value Theorem, we know there exists a cc in the open interval (0,15)(0,15) such that f'(c) is equal to this mean slope. For this problem, there is only one cc that works. Find it. Enter at least 4 decimal places in your answer.

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