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April 17, 2014

April 17, 2014

Posted by **Ellen** on Friday, July 20, 2012 at 9:26pm.

D(t) = 2900 − 2300e−0.08t (t > 0)

Graph this function and answer the following questions.

(a) What is the demand after 1 month? After 1 year? After 2 years? after 5 years?

after 1 month computers

after 1 year computers

after 2 years computers

after 5 years computers

(b) At what level is the demand expected to stabilize?

computers

(c) Find the rate of growth of the demand after the tenth month.

computers per month

- math help -
**Reiny**, Friday, July 20, 2012 at 11:54pmsimply sub in each of the values, I will do the one for 2 years

at 2 years, t = 24

D(24) = 2900- 2300e^(-.08(24))

= 2900-2300e^-1.92

= appr 2563

b) notice that as t gets larger, e^-.08t gets smaller.

So eventually D(t) becomes 2900-0 or 2900

D'(t) = .08(2300)e^-.08t

when t = 10

D'(10) = .08(2300)e^(.08(10)) = 83computers/month

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