# Calculus

posted by .

The current circulation of a particular magazine is 3,000 copies per week. The editor projects a growth rate of

g(t) = 4 + 5t^2/3

copies per week after t weeks.

a. Find the circulation function based on this projection.

b. Find the circulation in 2 years.

• Calculus -

Let C(x) be the circulation function
given: C ' (x) = 4+5t^(2/3)
then
C(x) = 4t + 3t^(5/3) + c, where c is a constant
when x = 0 (now) , C(0) = 3000
3000 = 0 + 0 +c

so C(x) = 4t + 3t^(5/3) + 3000

so in 2 years, x = 2
C(2) = 8 + 3(2)^(5/3) + 3000
= appr 3018

## Similar Questions

1. ### Algebra (word problems)

1) a small pipe can fill a tank in 16 min more time than it takes a large pipe to fill the same tank. Working together, both pipes can fill the tank in 6 min. How long would it take each pipe working alone to fill the tank?
2. ### MATH

The demand for your college newspaper is 2200 copies each week if the paper is given away free of charge and drops to 1100 each week if the charge is 10/copy. However, the university is only prepared to supply 600 copies each week …
3. ### MATH

Could someone please double check me? ------------------------------------------ A Developer works 40 hours per week at \$30 per hour. He or she earns : 40 hours x \$30.00 per hour = \$1200.00 - per week. The four developers earn : 40
4. ### math

The demand for your college newspaper is 2200 copies each week if the paper is given away free of charge and drops to 1000 each week if the charge is 10/copy. However, the university is only prepared to supply 600 copies each week …
5. ### accounting

An employee earns \$40 per hour and 1.75 times that rate for all hours in excess of 40 hours per week. Assume that the employee worked 60 hours during the week, and that the gross pay prior to the current week totaled \$58,000. Assume …
6. ### accounting

An employee earns \$40 per hour and 1.75 times that rate for all hours in excess of 40 hours per week. Assume that the employee worked 60 hours during the week, and that the gross pay prior to the current week totaled \$58,000. Assume …
7. ### calculus

It is estimated that an annual advertising revenue received by a certain newspaper will be R(x)=0.5x^2+3x+160 thousand dollars when its circulation is x thousand. The circulation of the paper is currently 10,000 and is increasing at …
8. ### calculus

the demand for a certain type of auto tire is given by x=f(p) 50(1+e^-p/60). a)if the weekly quantity demanded is 60000 tires find the price?
9. ### algebra1

the school bought a new copy machine which makes 20 copies per minute.the old machine makes 12 copies per minute.francine needs 100 copies,so she uses both machines.how long will it take to have the copies
10. ### algebra1

the school bought a new copy machine which makes 20 copies per minute.the old machine makes 12 copies per minute.francine needs 1000 copies,so she uses both machines.how long will it take to have the copies

More Similar Questions