A buoy bobs up and down in the water following the formula h(t) = 5/3 sin(2t) + 5 cos(2t), where h is the height above average sea level and t is the time in hours. (a) What is the period of h? 27 (b) Show that the buoy reaches a minimum height when t = and a maximum 3 height when t = (c) Find the maximum height of the buoy, that is, the amplitude of h.

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