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 t with the plane, then the magnitude of the force is F=\frac{\mu W}{\mu \sin{t}+\cos{t}}, where \mu is a constant called the coefficient of friction. Let W=50 lb and \mu=.6. \ (a) Find the rate of change of F with respect to t.\ (b) When is this rate of change equal to zero? Round your answer to the nearest hundredth.\

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