The beam from a lighthouse completes one rotation every two minutes. At time t, the distance d shown in the figure below is d(t) = 3 tan(at) where t is measured in minutes and d in miles. (a) Find d(0.1), d(0.25), and d(0.3). (Round your answers to two decimal places.) d(0.1) = mil d(0.25) = mi d(0.3) = mi (b) Sketch a graph of the function d for 0 ≤t< 3 mi DIP HU (c) What happens to the distance d as t approaches ? Od(t) approaches Od(t) approaches 0. O d 0 d 12

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