diff --git a/linearApproximation/exercises/LinearApproximations3.tex b/linearApproximation/exercises/LinearApproximations3.tex index b261b2e0b..9df3e248f 100644 --- a/linearApproximation/exercises/LinearApproximations3.tex +++ b/linearApproximation/exercises/LinearApproximations3.tex @@ -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} @@ -163,4 +163,4 @@ \end{multipleChoice} \end{exercise} -\end{document} \ No newline at end of file +\end{document}