From 6c3a3d52e3f274e15cd70c48ff007c45f9e4b572 Mon Sep 17 00:00:00 2001 From: pfatheddin <156558883+pfatheddin@users.noreply.github.com> Date: Mon, 25 Mar 2024 14:55:11 -0400 Subject: [PATCH] Update singVarCalcOptimization6.tex https://ximera.osu.edu/mooculus/optimization/exercises/exerciseList/optimization/exercises/singVarCalcOptimization6 There were so many steps to the hint so I combined some of them. I think it is easier to see all of them at once. --- optimization/exercises/singVarCalcOptimization6.tex | 5 +---- 1 file changed, 1 insertion(+), 4 deletions(-) diff --git a/optimization/exercises/singVarCalcOptimization6.tex b/optimization/exercises/singVarCalcOptimization6.tex index 38a372924..0f47975a9 100644 --- a/optimization/exercises/singVarCalcOptimization6.tex +++ b/optimization/exercises/singVarCalcOptimization6.tex @@ -49,8 +49,7 @@ We now express the area as the function of $x$. $A(x)=\answer{x}\cdot(100-2x)$ -\end{hint} -\begin{hint} + So, we have to find the global maximum of the function $A$, given by $A(x)=100\cdot\answer{x}-2x^2$ @@ -65,8 +64,6 @@ it follows that the function $A$ has its only critical point at $x=\answer{25}$. -\end{hint} -\begin{hint} We have to evaluate $A$ at the end points and the critical point. $A(0)=\answer{0}$