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9. Use Laplace transforms to solve the initial-value problem:      y” – 4y’ = 3e-t, y(0) = 0, y'(0) = 0.

Both spider plots and tornado diagrams can be used to

Matthew pulls his little sister Sarah along the horizontal ground in a wagon. He exerts a force on the wagon of 60.0 N at an angle of 37.0° above the horizontal. If he pulls her a distance of 12.0 m, how much work does Matthew do?

Calculate the average force a bumper would have to exert to bring a 1200-kg car to rest in 15 cm when the car had an initial speed of 2.0 m/s (about 4.5 mph).

Solve the logistic equation

7. Solve the differential equation y” + 9y = csc 3x.

A tennis ball bounces on the floor three times, and each time it loses 23.0% of its energy due to heating. How high does it bounce after the third time, if we released it from the floor?

In the figure, block A has a mass of 3.00 kg. It rests on a smooth horizontal table and is connected by a very light horizontal string over an ideal pulley to block B, which has a mass of 2.00 kg. When block B is gently released from rest, how long does it take block B to travel 80.0 cm?

1. Solve (1 + x) dy – y dx = 0 by using separation of variables.

How is generalization used to simplify the models of a system with many similar objects? (Choose all that apply)