The projected rate of increase in enrollment at a new college is estimated by dE/dt = 6,000(t+1)^-3/2 where E(t) is the projected enrollment in t years. If the enrollment is 3,000 now (t=0), find the projected enrollment 15 years from now.

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asked by Jess

Nov 21, 2013

dE/dt = 6,000(t+1)^-3/2

E(t) = -12000(t+1)^-1/2 + c

3000 = -12000+c

c = 15000

E(t) = 15000 – 12000/√(t+1)

E(15) = 15000 – 12000/4 = 12000

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posted by Steve

Nov 21, 2013