$\"\"$

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The function is $\"\"$ .

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Average value of the function on the interval $\"\"$ is $\"\"$ .

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Mean value theorem for integrals:

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If $\"\"$ is continuous on $\"\"$ , then there exist a number $\"\"$ in $\"\"$ such that

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$\"\"$ .

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By the mean value theorem,

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$\"\"$

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$\"\"$

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$\"\"$

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Roots of the quadratic equation $\"\"$ are $\"\"$ .

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$\"\"$

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$\"\"$ and $\"\"$

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$\"\"$ and $\"\"$ .

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$\"\"$

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The values of $\"\"$ are $\"\"$ and $\"\"$ .