Thread: Linear Approximation and Error Problem

Estimate the quantity using Linear Approximation and find the error using a calculator.




I need the and the error in Linear Approximation, please help!

Originally Posted by Quiz0n

Estimate the quantity using Linear Approximation and find the error using a calculator.




I need the and the error in Linear Approximation, please help!

Look at the first term:



.....

where is the remainder, or the error in the linear approximation.
(here I am using a rule of thumb that the error is approximatly the first neglected term, in this case
this can be made precise)

So:



RonL

I need in a numerical form, I got the answer -0.0015 using examples from my textbook, but it's apparently incorrect. Thanks for the help. I still can't figure it out.

Originally Posted by Quiz0n

I need in a numerical form, I got the answer -0.0015 using examples from my textbook, but it's apparently incorrect. Thanks for the help. I still can't figure it out.

You have a calculator, so you can evaluate what I gave in my earlier post.

If you are going to give an answer to two significant digits round it correctly
don't just truncate the answer to two significant digits.

RonL