The current circulation of a particular magazine is 3000 cop

The current circulation of a particular magazine is 3,000 copies per week. The editor projects a growth rate of g(t) = 4 + 5t2/3

copies per week after t weeks.

a. Find the circulation function based on this projection.
b. Find the circulation in 2 years.

Solution

a) Let circulation function be defined by c(t) circulation means amount of copies circulated till now c(t)= g(t)dt+ 3000 =>c(t)= 4t+5t^3/9 +3000 b)2 years = 52*2=104weeks c(t)= 4*104+ 5*104^3/9 +3000= 628340 copies
The current circulation of a particular magazine is 3,000 copies per week. The editor projects a growth rate of g(t) = 4 + 5t2/3 copies per week after t weeks.

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