$\"\"$

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(a)

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The function is $\"\"$ , $\"\"$ .

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The function $\"\"$ continuous over $\"\"$ .

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Substitute $\"\"$ in the function.

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$\"\"$

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$\"\"$

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Substitute $\"\"$ in the function.

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$\"\"$

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Therefore $\"\"$ .

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Hence function $\"\"$ satisfy the Rolle $\"\"$ s theorem.

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$\"\"$

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There exist at least one $\"\"$ value in the interval $\"\"$ ,such that $\"\"$ .

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$\"\"$

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Differentiate on each side with respect to $\"\"$ .

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$\"\"$

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Equate it to zero.

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$\"\"$

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Hence $\"\"$ .

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$\"\"$

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The function $\"\"$ satisfy the Rolle $\"\"$ s theorem.

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The value of $\"\"$ .