The period of a simple pendulum of length [math] feet is given by [math] We assume that [math], the acceleration due to gravity on the surface of the earth, is 32 feet per second per second. If the pendulum is that of a clock that keeps good time when [math] feet, how much time will the clock gain in 24 hours if the length of the pendulum is decreased to 3.97 feet? (Use differentials and evaluate the necessary derivative at [math] feet.)
Your answer: seconds.