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Show step by step to understand 1.Verify that the hypotheses of the Mean-Value Theorem are satisfied for...

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Basic Math

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1.Verify that the hypotheses of the Mean-Value Theorem aresatisfied for the function ?(?) = (?(? ? 1) + 1) on the interval[2,10], and find all values of ? in the given interval that satisfythe conclusion of the theorem.

2. Verify that the hypotheses of the Rolle’s Theorem aresatisfied for the function ?(?) = (?^2?1)/(??2) on the interval[?1,1], and find the value of ? in the given interval that satisfythe conclusion of the theorem.

3. Evaluate lim ?? ? (?(4?+1)+?(4??1) / (?) ) . Hint if divideby x or x^2 then please show to understand.

4. State the ...

a. Mean-Value Theorem

b. Rolle's Theorem




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