Use a definite integral to find the area under the curve between the given x-values. f(x) = 3 x from x = 1 to x = 8

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?

Which equation is y = -6x2 + 3x + 2 rewritten in vertex form?

2f(x)= x+3 if 4 < x < 8 2x if x 28 2