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The depth of water, \(D\) metres, in a harbour can be modelled by a sinusoidal function of time, \(t\) hours after midnight. The depth has a maximum of 14m at 3:00 am and a minimum of 2m at 9:00 am.
Find a cosine function of the form \(D(t) = a\cos(b(t-c)) + d\) to model the water depth.
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