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Update LinearApproximations3.tex #970

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8 changes: 4 additions & 4 deletions linearApproximation/exercises/LinearApproximations3.tex
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Expand Up @@ -69,16 +69,16 @@
PE= \answer{16}\%.
\]

When $x$ changes from $a=2$ to $a+\Delta x = 2.8$, the change in $y$ is
When $x$ changes from $a=2$ to $a+\Delta x = 2.8$, the change in $y$ is (round to two decimal places)
\[
\Delta y = f\left(\answer{2.8}\right) - f\left(\answer{2}\right) = -\frac{4}{\answer{7}}.
\Delta y = f\left(\answer{2.8}\right) - f\left(\answer{2}\right) = -\answer{.57}.
\]
Now in this case the \textbf{approximate} change in $y$ is
\[
\d{y} = f'\left(\answer{2}\right)\d{x} = \answer{-0.8}.
\]

The picture below shows the graph of $f$ along with the linear approximation to $f$ at $a=2$. On this diagram are quantities labeled $A$, $B$, $C$, $D$, and $E$. Correctly identify them below.
The picture below shows the graph of $f$ along with the linear approximation to $f$ at $a=2$. Identify the quantities, $A$, $B$, $C$, $D$, and $E$ labeled on the graph below.

\begin{image}
\begin{tikzpicture}
Expand Down Expand Up @@ -163,4 +163,4 @@
\end{multipleChoice}

\end{exercise}
\end{document}
\end{document}