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(Solved): Use linear approximation to estimate the following quantity. Choose a value of a to produce a small ...
![Use linear approximation to estimate the following quantity. Choose a value of a to produce a small error.
\[
\sqrt{125}
\]
\](https://media.cheggcdn.com/study/f93/f93d7b5a-b502-4473-a3e6-b191ef3a414e/image)
![\[
\frac{1}{1.01}
\]
Using linear approximation, estimate \( \frac{1}{1.01} \).
\[
L(1.01)=\quad \text { (Simplify your answe](https://media.cheggcdn.com/study/e26/e26b9517-d338-4cbe-875e-6d98c191c2a6/image)
Use linear approximation to estimate the following quantity. Choose a value of a to produce a small error.
Use linear approximation to estimate given that and . (Simplify your answer.)
Using linear approximation, estimate .
Expert Answer
To approximate 125 using linear approximationThe linear approximation formula is given by f(x)?L(x)=f(a)+f?(a)(x?a)Here let f(x)=xNow we choose a whic