Verify that each function satisfies the hypothesis of the Mean Value theorem on the interval [a,b] and find all the numbers c that satisfy the conclusion.. .. Of the Mean Value Theorem   G(x) =x^3...

Verify that each function satisfies the hypothesis of the Mean Value theorem on the interval [a,b] and find all the numbers c that satisfy the conclusion..

.. Of the Mean Value Theorem

 

G(x) =x^3 + x - 4 on [-1,2]

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The function is continuous on [-1,2] and differentiable on (-1,2) so the function satisfies the hypothesis for the mean value theorem.

The mean value theorem (MVT) states that there exists at least one c in...

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