Let l, a constant, be the number of people who would like to see a newly released movie, and let n(t) be the number of people who have seen it during the first t days since its release. the rate that people first go see the movie, dn dt (in people/day), is proportional to the number of people who would like to see it but haven’t yet. write and solve a differential equation describing dn dt where t is the number of days since the movie’s release. your solution will involve l and a constant of proportionality k.

Perform the required operations on the following functions given: f(x)= 3-x; g(x)= -2x find g[f(x)]

The perimeter of a movie screen is 54 meters. the screen is 18 meters wide. how tall is it?

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?