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SOLVED:(a) Use the Mean-Value Theorem to show that if f is differentiable on an interval, and if |f^'(x)| ≤M for all values of x in the interval, then |f(x)-f(y)| ≤M|x-y| for all values of x and y in the interval. (b) Use the result in part (a) to show that |sinx-siny| ≤|x-y| for all real values of x and y .
SOLVED:(a) Use the Mean-Value Theorem to show that if f is differe…
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