The period of a pendulum is given by
where L is the length of the pendulum in feet, g is the acceleration due to gravity, and T is the time in seconds. The pendulum has been subjected to an increase in temperature such that the length has increased by .
(a) Find the approximate percent change in the period by.
(b) Using the result in part (a), find the approximate error in this pendulum clock in 1 day.
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