Factor the sum or difference of two cubes completely. - 

A. (5x + 3y)(25x2 - 15xy + 9y2)
B.
C.
D.


Answer: C

Mathematics

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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 = 0.02 and  when t = 0. Solve the differential equation of y when f(t) = 2t.

A. y = -100t - 5000 + 15,000e-0.02t B. y = -100t - 5000 + 15,000e0.02t C. y = 100t - 5000 + 15,000e-0.02t D. y = 100t + 5000 + 15,000e-0.02t

Mathematics

Evaluate the integral.

A.
B. - 
C.
D.

Mathematics

Find the interval of convergence of the series.

A. 3 ? x < 5 B. x < 5 C. 3 < x < 5 D. 2 ? x < 6

Mathematics

Find the exact value using a double-angle identity.sin 

A. - 
B.
C. 0
D. - 

Mathematics