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3. A timer will be constructed using a pendulum. The period in seconds, T, for a pendulum of length L meters is T = 2L/. where g is 9.81 m/sec. The error in the measurement of the period, AT, should be +0.05 seconds when the length is 0.2 m. (a) (5 pts) Determine the exact resulting error, AL. necessary in the measurement of the length to obtain the indicated error in the period. (b) (5 pts) Use the linearization of the period in the formula above to estimate the error, AL, necessary in the measurement of the length to obtain the indicated error in the period.