While riding his bicycle, a rock becomes embedded in Joshua's tire. The equation representing the height of the rock above the ground, y, in cm, can be modelled by the function y= 32cos40°x+32 , where x represents the time in seconds. (a) What is the height of the axle of the bicycle wheel? (b) What is the maximum height of the rock above the ground (c) Determine the time it takes for the rock to complete one revolution?

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