The tide, or depth of the ocean near the shore, changes throughout the day. The water depth (in feet) of a bay can be modeled by
where is the time in hours, with corresponding to 12:00 A.M.
(a) Algebraically find the times at which the high and low tides occur.
How would I do this? Just solve for ? Wouldn't I just get one answer? I need two, one for the high and one for the low.
(b) Algebraically find the time(s) at which the water depth is 3.5 feet.
Just for 3.5 and solve right? I have one question though...how would you determine algebraically?
I have also attached a picture of the original problem.
So the times are 12:00 A.M., 12:24 P.M. and 12:48 A.M. So low tides occur every 12 hours and 24 minutes from 12:00 A.M. right?
And the solutions to the high tide is at when t = 6.2, 18.6, 31, and so on.
So the times are 6:12 A.M., 6:36 P.M. and 7:00 A.M. So high tides occur every 12 hours and 24 minutes from 6:12 A.M. right?