A particle moves along a straight line with equation of motion
s = f(t) where s is measured in meters and t in seconds. Find the velocity and the speed when t = 4.
f(t) = 15 + 40t + 1

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?

Find the maximum value of p= 4x + 5y subject to the following constraints :

The function f(x) is shown in this graph the function g(x)=6x