A woman at a point a on the shore of a circular lake with radius 2 mi wants to arrive at the point c diametrically opposite a on the other side of the lake in the shortest possible time (see the figure). She can walk at the rate of 4 mi/h and row a boat at 2 mi/h. For what value of the angle theta shown in the figure will she minimize her travel time?.
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A woman at a point a on the shore of a circular lake with radius 2 mi wants to arrive at the point c...
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