# Thread: rate of change problem

1. ## rate of change problem

Alabama Instruments Company has set up a production line to manufacture a new calculator. The rate of production of these calculators after t weeks is

dx
dt = 5000(1−(100/(t+10)^2)) calculators per week.

(Notice that production approaches 5000 per week as time goes on, but the initial production is lower because ot the workers’ unfamiliarity with the new techniques.) Find the number of calculators produced from the beginning of the third week to the end of the fourth week

2. Originally Posted by asifrahman1988
Alabama Instruments Company has set up a production line to manufacture a new calculator. The rate of production of these calculators after t weeks is

dx
dt = 5000(1−(100/(t+10)^2)) calculators per week.

(Notice that production approaches 5000 per week as time goes on, but the initial production is lower because ot the workers’ unfamiliarity with the new techniques.) Find the number of calculators produced from the beginning of the third week to the end of the fourth week
Integrate:

$\displaystyle \int_2^4 5000*\left (1- \dfrac{100}{(t+10)^2}\right ) dt$

http://www.freemathhelp.com/forum/th...217#post322217

We can help - we only help after you have shown your work - or ask a specific question (e.g. "are these correct?")

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