Question

Annual sales of a certain brand of phone are expected to grow at the rate off' (t) = 0.18t^2+ 0.16t+ 2.64million phones per year. Use a definite integral to determine the total number of phones that will be sold over the next 10 years.

Answer 1

Given the Annual sales of a certain brand of phones are expected to grow at the rate of:

`f^(\prime)(t)=0.18t^2+0.16t+2.64`

We will use the definite integral to determine the total number of phones that will be sold over the next 10 years.

`\begin{gathered} \int f^(\prime)(t)=\int ^(10)_00.18t^2+0.16t+2.64 \\ \\ =((0.18)/(3)t^3+(0.16)/(2)t^2+2.64t)|^(10) \\ \\ =0.06\cdot10^3+0.08\cdot10^2+2.64\cdot10 \\ =94.4 \end{gathered}`

So, the answer will be the number of phones = 94.4 million phones