As the harbormaster, you are in charge of traffic on a channel. The channel has recently been dredged. The depth of the channel has been measured every hour over a 12-hour period. A table of values and scatterplot have been provided.
(a) Find a cosine function to model the depth of the channel at time in hours.
(b) If a boat requires 11 ft of water to cross the channel, determine what times of day it can do so.
(c) Determine the mean depth of the channel required to provide a 4-hour crossing window for the boat in
part (b).