\documentclass[letterpaper,12pt]{article}

\usepackage{amsfonts,amssymb,amsmath,fullpage}
%,amsthm,txfonts,pxfonts,mathrsfs,enumitem}
\usepackage{xcolor,tikz}

\pagestyle{empty}
\begin{document} 

\begin{center}\textbf{Takehome Quiz 2 \hspace{.7in} Calc 3 \hspace{.7in} Due 10/30/24} \end{center}

\noindent Open book, open note, open neighbor, open internet, \emph{for figuring things out}, but you're responsible for writing up your own final submission without reference to anything except your own work and the textbook.
\begin{enumerate}
\item Find the centroid of a cone with height $h$ and base radius $R$.

\pagebreak

\item Consider a trapezoid with vertices $(0,0), (1,0), (a,1),$ and $(0,1)$.  For which positive values of $a$ is the trapezoid stable on its base, i.e. the segment from $(0,0)$ to $(1,0)$?

\end{enumerate}

\end{document}