$\"\"$

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(a) The function is $\"\"$ .

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Apply derivative on each side with respect to $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ (relative error in $\"\"$ ).

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$\"\"$ .

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Percentage error $\"\"$ .

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Therefore, when the $\"\"$ was increased by $\"\"$ , the period T was increased by $\"\"$ .

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$\"\"$

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(b) Find the approximate error in this pendulum clock in one day.

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$\"\"$

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$\"\"$ .

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Therefore, in one day the pendulum clock is faster by $\"\"$ minutes and $\"\"$ seconds than the correct time.

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$\"\"$

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(a) $\"\"$ .

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(b) $\"\"$ .