Solve the differential equation.x
= 
- 6y, x > 0
A. y = x-6(cos x + c), x > 0
B. y = x6(sin x + c), x > 0
C. y = x6(cos x + c), x > 0
D. y = x-6(sin x + c), x > 0
Answer: D
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Solve the problem.In 1995 the population of a certain city was 41,000. Since then, the population has been growing at the rate of 700 people per year. Is this an example of linear or exponential growth? Find a function f that computes the population x years after 1995.
A. Exponential; f(x) = 41,000(700)x B. Linear; f(x) = 700x + 41,000 C. Exponential; f(x) = 41,000(1.07)x D. Linear; f(x) = 41,000x + 700
Find the sum of the series, if possible.
A. 
B. 
C. Not possible, infinite
D. - 
Use either the binomial theorem or Pascal's Triangle to expand the binomial.(2 - x)5
A. 1 - 5x +10x2 - 10x3 + 5x4 - x5 B. 32 - 16x + 8x2 - 4x3 + 2x4 - x5 C. 32x - 80x2 + 80x3 - 40x4 + 10x5 D. 32 - 80x + 80x2 - 40x3 + 10x4 - x5
Add and subtract as indicated.6 + (-10) - (-18) + 20
A. 18 B. -2 C. -6 D. 34