Exercise 6.3.4: find the solution to mx00 + cx0 + kx = f (t); x(0) = 0; x0(0) = 0; for an arbitrary function f (t), where m > 0, c > 0, k > 0, and < 0 (system is underdamped). write the solution as a definite integral.

M the table below represents a linear function f(x) and the equation represents a function g(x): x f(x)−1 −50 −11 3g(x)g(x) = 2x − 7part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)part b: which function has a greater y-intercept? justify your answer. (4 points)

What is the solution to the equation e3x=12? round your answer to the nearest hundredth

Find the rate at which the water is now flowing from the tap give your answer cubic centimetres per second