diff --git a/linearApproximation/exercises/linearApproximationWord1.tex b/linearApproximation/exercises/linearApproximationWord1.tex index 62c0335ec..c16fcb9e9 100644 --- a/linearApproximation/exercises/linearApproximationWord1.tex +++ b/linearApproximation/exercises/linearApproximationWord1.tex @@ -13,28 +13,13 @@ surface area which results from this potential error in measurement. \begin{hint} The surface area of the cube, $S$, is a function of the edge length $x$: -$S(x)=6 x^2$. +$S(x)=\answer{6 x^2}$. \end{hint} \begin{hint} -We have to compute the differential of $S$ at $x=30$. -$\d S=S'(30)\d x$. -\end{hint} -\begin{hint} -First, we have compute the derivative of $S$. -$S'(x)=12 x$. -\end{hint} -\begin{hint} -Now we compute the the differential of $S$ at $x=30$. -$\d S=12(30)\d x$. -\end{hint} -\begin{hint} -We have to determine $\d x$. -$\d x=\answer{1}$. -\end{hint} -\begin{hint} -The potential error when we compute the surface area based on the measurement of the edge length is then given by -$\d S=12(30)\answer{1}$. +Now we compute the differential of $S$ at $x=30$: +$\d S=30\answer{12}\d x$, where $\dx= \answer{1}$ \end{hint} + \begin{prompt} The potential error is $\pm \answer{12(30)} \textrm{ cm}^2$ \end{prompt}