Use the laplace transform to solve the given initial-value problem. use the table of laplace transforms in appendix iii as needed. y'' + 4y = cos 2t, y(0) = 5, y'(0) = 3

Do some research and find a city that has experienced population growth. determine its population on january 1st of a certain year. write an exponential function to represent the city’s population, y, based on the number of years that pass, x after a period of exponential growth. describe the variables and numbers that you used in your equation.

Acircus act has 3 times as many elephants as acrobats. jorge noticed that all together there were 56 legs in the circus ring. how many elephants were in the show?

What is the inverse of the function f(x) = 2x + 1?