['I point) An object with weight W is dragged along a horizontal plane by a force acting along a rope attached to the object. If the rope makes an angle 9 with the plane, then the magnitude of the force is F = i y. sin(9) i cos(9) Where ,u. is a positive constant called the coefficient of friction and where 0 g 9 g 7r/2. Find the value for tan which minimizes the force. Your answer may depend on W and pi, but use "u" instead of p. when entering your answer. tang: (1 point) Awoman at a point A on the shore of a circular lake with radius 1' = 4 wants to arrive at the point C diametrically oppo on the other side of the lake in the shortest possible time. She can walk at the rate of 8mph and row a boat at 4mph. B What is the shortest amount of time it would take her'to reach point 0? hours What is the longest amount of time it would take her to reach point 0 following a. path like the path in the gure? hours