Solve the problem.dy/dt = ky + f(t) is a population model where y is the population at time t and f(t) is some function to describe the net effect on the population. Assume k = .02 and 
when t = 0. Solve the differential equation of y when f(t) = 9t.
A. y = -450t - 22,500 + 32,500e-.02t
B. y = 450t - 22,500 + 32,500e-.02t
C. y = 450t + 22,500 + 32,500e-.02t
D. y = -450t - 22,500 + 32,500e.02t
Answer: D
Mathematics
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Find the function with the given derivative whose graph passes through the point P.r'(?) = 4 + sec2 ?, P(?, 0)
A. r(?) = 4? + 
sec3 ?
B. r(?) = 4? + tan ? - 4?
C. r'(?) = 2?2 + tan ? + 4?
D. r(?) = 2?2 + tan ? - 4?
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Find the axis of symmetry of the graph of the parabola.f(x) = -(x + 1)2 - 5
A. x = 2 B. x = 0 C. x = -1 D. x = -5
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Find the exact value of the expression if ? = 60°. Do not use a calculator.g(?) = cos ?Find 3 g(?).
A. 
B. 
C. - 
D. - 
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Find A-1 if it exists.A = 
A. 
B. 
C. 
D. Does not exist
Mathematics