State the structure of the following sentences: Simple, Compound, Complex, Compound-Complex 1.My favorite sport is skiing, but I am vacationing in Hawaii this winter. [Sentence1]2. We all have a good time when Uncle Harry comes to town. [Sentence2]3. It is dark, but we should be fine even though it is difficult. [Sentence3]4. Joelle and Mike read and enjoy novels and blogs. [Sentence4]

5. Solve the homogeneous linear differential equation 3y”’ + 5y” + 10y’ – 4y = 0. Note that m1 = 1/3 is a root of the auxiliary equation.

A management consulting firm is purchasing new furniture.  Using MACRS depreciation, what is the recovery period that should be used?

4. Solve the homogeneous linear differential equation y”’ – 2y” + y’ = 0.

State the function of the following sentences: Declarative, Imperative, Interrogative, Exclamatory. 1. Give me a few weeks to give you an answer. [Sentence1] 2. We hold a reading camp in the summer. [Sentence2]3. What time is the final exam? [Sentence3]4. I can’t believe it’s tomorrow! [Sentence4]

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

2. Use an integrating factor to solve the linear differential equation 

A point on a wheel of radius 40 cm that is rotating at a constant 5.0 revolutions per second is located 0.20 m from the axis of rotation. What is the acceleration of that point due to the spin of the wheel?

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