Consider the following differential equation used to describe a system: d³x d²x dx dt³ +5. +17+13x = 1; t 20 dt² with initial conditions: dx X=== 1 and dt Use the Laplace transform to solve for x(t). d²x dt² = 0 at t = 1.

dv A model for the velocity v at timetof a certain object faling under the influence cf gravity in a viscous medium is given by the equation 1-. From the direction field shown in the figure to the right, skotch the dt 12 solutions with the initial conditions v(0) = 10, 12, and 19. Why is the value v= 12 calied the "terminal velocity"? Choose the correct skelch of the solutions with the initial conditions v(0) = 10, 12, and 19. O A. OB. Oc.

Chads baseball team is practicing hitting in the batting cages for pitching machines pitch baseballs at the rate of 35 pitches in 5 minutes chad practiced hitting for 8 minutes how many baseballs were pitched to chad in that time