Ocean Cycles: On a certain day, the depth of water off a pier at high tide was 6m. After 6 hours, the depth of the water was 3m. Assume a 12h cycle. a) Find an equation for the depth of water, with respect to its average depth, in terms of the time, thours, since high tide. b) Draw a graph of the depth of water versus time for 48 hours after high tide. c) Find the depth of water at t=8h,15h,20h, and 30h. d) Predict how the equation will change if the first period begins at low tide. e) Test your prediction from part d) by drawing the graph and finding the equation