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

Show step by step to understand

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

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

3. Evaluate lim ?→ ∞ (√(4?+1)+√(4?−1) / (?) ) . Hint if divide by x or x^2 then please show to understand.

4. State the ...

a. Mean-Value Theorem

b. Rolle's Theorem




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Expert Solution

milcah answered 1 year ago
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