From 868081e2355b0273a19ac89faa91ba2826067d87 Mon Sep 17 00:00:00 2001 From: pfatheddin <156558883+pfatheddin@users.noreply.github.com> Date: Sun, 24 Mar 2024 18:58:10 -0400 Subject: [PATCH] Update linearApproximation4.tex https://ximera.osu.edu/mooculus/linearApproximation/exercises/exerciseList/linearApproximation/exercises/linearApproximation4 Took out some of the hint. They were giving too much. I think the steps actually make it more complicated. Problem 1 went through the steps. For other problems they just need to know the formula and plug in the pieces. --- .../exercises/linearApproximation4.tex | 20 +------------------ 1 file changed, 1 insertion(+), 19 deletions(-) diff --git a/linearApproximation/exercises/linearApproximation4.tex b/linearApproximation/exercises/linearApproximation4.tex index ab600b818..b9195f2ae 100644 --- a/linearApproximation/exercises/linearApproximation4.tex +++ b/linearApproximation/exercises/linearApproximation4.tex @@ -15,25 +15,7 @@ \begin{hint} Let $f(x)=\sin{x}$ and $a=\pi$. \end{hint} -\begin{hint} -Evaluate. - $f(a)=\answer{0}$, - $f'(x)=\cos{x}$, - $f'(a)=\answer{-1}$. -\end{hint} -\begin{hint} -Find an expression for $L(x)$, the linear approximation of $f$ at $a$. -\end{hint} -\begin{hint} - $L(x)=f(\pi)+f'(\pi)\cdot(\answer{x-\pi})$ -\end{hint} -\begin{hint} - $L(\pi+0.3)=-(\answer{0.3})$ -\end{hint} -\begin{hint} -Approximate. - $f(\pi+0.3)\approx L(\pi+0.3)$ -\end{hint} + \begin{prompt} $$\sin(\pi+0.3) \approx \answer{-0.3}$$ \end{prompt}