The distance s of a piston from the center of the crankshaft as it rotates in a

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The distance s of a piston from the center of the crankshaft as it rotates in a 1937 John Deere B engine with respect to the angle θ of the connecting rod, as indicated by the figure at the top of the next column, is given by the formula s(0) = 2.625 cos 0 + 2.625(15 + cos2 θ)1/2, where s is measured in inches and θ in radians.

(a)

(b)

(c) Find the value(s) of θ where the maximum velocity of the piston occurs.

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