A diver can dive into a pool, descend, and ascend back to the surface very quickly. The depth of the diver can be determined with the equation h(t)=3t'2-12t+0, where h is the position of the diver, in feet, with respect to the surface of the water, and t is the time in seconds after the diver breaks the surface of the water.

Complete the square to determine how many seconds it will take the diver to return to the surface of the water.

In one day there are too high tides into low tides and equally spaced intervals the high tide is observed to be 6 feet above the average sea level after six hours passed a low tide occurs at 6 feet below the average sea level in this task you will model this occurrence using a trigonometric function by using x as a measurement of time assume the first high tide occurs at x=0. a. what are the independent and dependent variables? b. determine these key features of the function that models the tide: 1.amplitude 2.period 3.frequency 4.midline 5.vertical shift 6.phase shift c. create a trigonometric function that models the ocean tide for a period of 12 hours. d. what is the height of the tide after 93 hours?