Find the particular solution to the given differential equation that satisfies the given conditions.D2y + 2 Dy + 17y = 0; y = 0 when x = 0 and y = e-?/8 when x = ?/8
A. y = e-x cos 4x
B. y = e-x sin 4x
C. y = e-x (C1 sin 4x + C2 cos 4x)
D. y = ex sin 4x
Answer: B
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Solve the problem.The population of a certain country increases 2.9% each year. If the current population is 8.2 million, estimate the population in 4 years. Round your answer to the nearest hundredth of a million.
A. 9.19 million B. 8.44 million C. 9.15 million D. 8.93 million
Write the best-fit linear model for the data.Ten students in a graduate program were randomly selected. Their grade point averages (GPAs) when they entered the program were between 3.5 and 4.0. The following data were obtained regarding their GPAs on entering the program versus their current GPAs. Find a linear function that approximates a student's current GPA as a function of his or her entering GPA.Entering GPACurrent GPA 
A. y = 2.51 + 0.329x B. y = 5.81 + 0.497x C. y = 4.91 + 0.0212x D. y = 3.67 + 0.0313x
Evaluate. 
A. 
x7/3 - 
x7/2 + C
B. 
x7/3 - 
x7/2 + C
C. 
x7/3 - 
x7/2 + C
D. 
x7/3 - 
x7/2 + C
Find the center and radius of the circle.x2 + 4x + y2 = 5
A. (-2, 0); 3 B. (0, -2); 2 C. (0, 2); 2 D. (2, 0); 3