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Diffstat (limited to 'macros/latex/contrib/studenthandouts/samplecode/worksheets/handout-1-2.tex')
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diff --git a/macros/latex/contrib/studenthandouts/samplecode/worksheets/handout-1-2.tex b/macros/latex/contrib/studenthandouts/samplecode/worksheets/handout-1-2.tex new file mode 100644 index 0000000000..c106d6a68c --- /dev/null +++ b/macros/latex/contrib/studenthandouts/samplecode/worksheets/handout-1-2.tex @@ -0,0 +1,38 @@ +\sethandouttitle{} + + +\begin{enumerate} + \item Differentiate the function. + \begin{enumerate} + \item $f(x) = x^3 - 4x+6$. + \vfill + \item $f(s) = \frac{-12}{s^5} + \sin(s)$. + \vfill + \item $f(x) = \frac{ x^2 + 4x + 3 }{\sqrt{x}}$. + \vfill + \end{enumerate} + + \item Find an equation for the tangent line of $y=3x^2 - x^3$ at $(1,2)$. + \vfill + + \newpage + + \item Find the first and second derivatives of $f(x) = x^4 - 3x^3 + 16x$. + \vfill + + \item The position function of a particle is given by $s = t^3 - 4.5 t^2 - 7t$, $t \geq 0$. + \begin{enumerate} + \item When does the particle reach a velocity of 5m/s? + \vfill + \item When is the acceleration 0? What is the signifigance of this value of $t$? + \vfill + \end{enumerate} + + \item A spherical balloon is being inflated. + Find the rate of increase of the surface area ($S= 4 \pi r^2$) + with respect to the radius when $r=1$, $r=2$ and $r=3$. What conclusion can you make? + \vfill +\end{enumerate} + +\allhandoutinfo + |