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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

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