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The number is $\"\"$ .

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Consider the function as $\"\"$ .

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Use linear approximation at $\"\"$ to find out the value of the number $\"\"$ .

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Linear approximation of the function is $\"\"$ .

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Consider $\"\"$ .

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

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$\"\"$

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$\"\"$ .

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Substitute $\"\"$ in above function.

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$\"\"$

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$\"\"$ .

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$\"\"$ .

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Linear approximation at $\"\"$ is $\"\"$ .

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Substitute corresponding values in linear approximation equation.

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$\"\"$

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The corresponding linear approximation is $\"\"$ .

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Find approximate value for $\"\"$ .

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$\"\"$ .

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Here, $\"\"$ .

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$\"\"$

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Approximate value for $\"\"$ is $\"\"$ .

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Approximate value for $\"\"$ is $\"\"$ .