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A graphing calculator is recommended An object with weight W is dragged along a horizontal...

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Calculus

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A graphing calculator is recommended 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 with the plane then the magnitude of the force is HW sin 0 cos 0 where is a constant called the coefficient of friction a Find the rate of change of F with respect to 8 dF de Fo b When is this rate of change equal to 07 m c If W 50 lb and 0 7 draw the graph of F as a function of 6 35 0 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 Use the graph to locate the value of 0 for which dF de 9M Is the value consistent with your answer to part b 1 8 O 35 35 2 35 2 35 0 0 1 0 2 0 3 04 03 0 6 0 7 0 8 0 9 1 0 Round your answer to two decimal places F 70 35 35 70 8 0 1 0 2 0 3 04 03 0 6 0 7 0 8 0 9 1 35 2 N 2 8 0 1 0 2 0 3 0 4 0 5 0 6 0 7 0 8 0 9 1

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