Solve the differential equation.y' + 2y = 25

A. y = 25 + ce2x
B. y =  + e2x + ce-2x
C. y =  + ce2x
D. y =  + ce-2x

Answer: D

Mathematics

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Solve the problem.Find parametric equations for an object that moves along the ellipse  +  = 1 with the motion described.The motion begins at (0, 2), is clockwise, and requires 4 seconds for a complete revolution.

A. x = 2 cos (?t), y = 2 sin (?t), 0 ? t ? 4
B. x = 2 sin (?t), y = 2 cos (?t), 0 ? t ? 4
C. x = 2 sin (4?t), y = 2 cos (4?t), 0 ? t ? 4
D. x = 2 sin (?t), y = -2 cos (?t), 0 ? t ? 4

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Determine if the ordered pair is a solution to the given inequality.3x + 4y ? 8;  

A. Yes B. No

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Find f-1(x) for the following one-to-one function f.f(x) = 8x3 - 7

A. f-1(x) = , x ? -7
B. f-1(x) = 
C. f-1(x) =   + 7 
D. f-1(x) = 

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Solve the problem.The table shows the population of a certain city in various years. The population of the city f(x), in hundreds of thousands, can be modeled by f(x) = axb, where x represents the number of years since 1980. Estimate the population of the city in the year 2000. (You will first need to use regression to estimate the values of a and b).

A. 1,039,176 B. 1,095,391 C. 1,205,444 D. 1,163,877

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