Web Reference: An application of Calculus is shown to minimize the time to reach an island from the shore. 1) When you find the maximum for an optimization problem, why do you need to check the sign of the derivative around the critical points? The critical points can be the minima, maxima, or neither. 2) Why do you need to check the endpoints for optimization problems? 3) True or False. Apr 20, 2013 · A small island is 5 miles from the nearest point P on the straight shoreline of a large lake. If a woman on the island can row a boat 2 miles per hour and can walk 3 miles per hour, where should the boat be landed in order to arrive at a town 11 miles down the shore from P in the least time?
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