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**Wavikz** [SIZE=2]...

3.) At Oceanside dock the first high tide today occurs at 2:00 AM with a depth of 6 meters and the first low occurs at 8:30 AM with depth of 2 meters.

A.) Assuming a sinusoidal function, sketch a graph of the depth of the water, d, at the dock as a function of the time t, after midnight.

B.) Write an equation of the graph showing the depth of the water d at the dock as a function of time t.

C.) Suppose a tanker that requires at least 4 meters of water depth is planning to dock after 9:00 AM. Using your graph in part "a," determine the earliest possible time that the tanker can dock and the longest period of time that the tanker can be docked before the water level becomes too low.