Solve the problem. = 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 y = 10,000 when t = 0. Solve the differential equation of y when f(t) = -21t.

A. y = -1050t - 52,500 - 42,500e.02t
B. y = 1050t + 52,500 - 42,500e-.02t
C. y = -1050t + 52,500 - 42,500e-.02t
D. y = 1050t + 52,500 - 42,500e.02t


Answer: D

Mathematics

You might also like to view...

Write a formula for the general term, or nth term, for the given sequence.-3, 12, -48, 192, . . .

A. an = -3 + (-4)n B. an = -3(-4)n-1 C. an = -3(-4)n D. an = -12n-1

Mathematics

Find parametric equations for the line described below.The line through the point P(7, 2, -1) parallel to the vector 

A. x = -4t - 7, y = 5t - 2, z = -4t + 1 B. x = 4t + 7, y = -5t + 2, z = -4t - 1 C. x = 4t - 7, y = -5t - 2, z = -4t + 1 D. x = -4t+ 7, y = -5t + 2, z = 4t - 1

Mathematics

Solve the problem.Rewrite the fraction  with a denominator of 28.

A.
B.
C.
D.

Mathematics

Provide an appropriate response.If a1, a2, a3, a4, a5, . . . is a geometric sequence with common ratio r, show that a1, a4, a7, a10 is a geometric sequence.

What will be an ideal response?

Mathematics