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#1 2013-12-03 22:35:26

Registered: 2013-12-03
Posts: 1

rate of change

The installation of a new electrical component into an existing product on an assembly line has an associated cost(per component), C dollars that is closely approximated by the function
C= 8((1.5t+11.5)^4)^(1/3) '0' less than or equal to 't' less than or equal to '7'

where 't' is measured in years
a) what will be the initial cost per component be?
b) Find the average rate at which the cost per component is changing over the first seven years
c) Find the rate of change in cost per component after 4 years of operation

could anyone please help. I could not able to differentiate


#2 2013-12-03 22:44:36

From: Bumpkinland
Registered: 2009-04-12
Posts: 88,594

Re: rate of change


Welcome to the forum!

could anyone please help. I could not able to differentiate

a) and c) are now easy to figure. Can you do it?

In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.


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