Solve the given differential equation. (The form of yp is given.)D2y - 3Dy = 5ex + xex (Let yp = Aex + Bxex .)
A. y = c1 + c2e3x - 
ex - 
xex
B. y = c1 + c2e3x - 
ex + 
xex
C. y = c1 + c2e3x + 
ex - 
xex
D. y = c1 + c2e3x + 
ex - 
xex
Answer: A
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Solve the problem.The wind is blowing at 10 knots. Sailboat racers look for a sailing angle to the 10-knot wind that produces maximum sailing speed. This situation is now represented by the polar graph in the figure shown below. Each point (r, ?) on the graph gives the sailing speed, r, in knots, at an angle ? to the 10-knot wind. What is the speed to the nearest knot, of the sailboat sailing at 60° angle to the wind? 
A. 6 knots B. 4 knots C. 5 knots D. 7 knots
Solve the problem.The table below gives the number of births, in thousands, to females over the age of 35 for a particular state every two years from 1994 to 2010. 
Use technology to find the quartic function that is the best fit for this data, where x is the number of years after 1994. According to the model, when will the number of births to females over the age of 35 first reach 80,000?
A. 2016 B. 2013 C. 2015 D. 2014
Provide an appropriate response.Does the equation y = ± 3x represent a function?
A. Yes B. No
Find the area bounded by the given curves.x = 0, x = -2, y = ex, y = 0
A. 0.78 B. 0.86 C. 0.96 D. 0.68