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Verify that the hypothesis of the mean value theorem are true for each function on the given interval then find the value(s) of c for

Verify that the hypothesis of the mean value theorem are true for each function on the given interval then find the value(s) of c for which the theorem is satisfied.

a) f(x) = x-sin(x), [1,3]

b) g(x) = Square root 25-x2, [-5,3]

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