\documentclass[11pt, oneside]{article} % use "amsart" instead of "article" for AMSLaTeX format
\usepackage{geometry} % See geometry.pdf to learn the layout options. There are lots.
\geometry{letterpaper} % ... or a4paper or a5paper or ...
%\geometry{landscape} % Activate for for rotated page geometry
%\usepackage[parfill]{parskip} % Activate to begin paragraphs with an empty line rather than an indent
\usepackage{graphicx} % Use pdf, png, jpg, or eps§ with pdflatex; use eps in DVI mode
% TeX will automatically convert eps --> pdf in pdflatex
\usepackage{amssymb}
\title{Assignment 9}
\author{}
%\date{} % Activate to display a given date or no date
\begin{document}
\maketitle
%\section{}
%\subsection{}
\noindent 1) Find two nonnegative numbers whose sum is 9 and so that the product of one number and the square of the other is a maximum.
\vskip20 pt
\noindent 2) Build a rectangular pen with three parallel partitions using 500 ft of fencing. What dimensions will maximize the total area of the pen?
\vskip 20 pt
\noindent 3) An open rectangular box with square base is to be made from 48 $ft^2$ of material. What dimensions will result in a box with the largest possible volume?
\vskip 20pt
\noindent 4) Find the point $(x,y)$ on the graph of $y=\sqrt{x}$ nearest to the point $(4,0).$
\vskip 20 pt
\noindent 5) You are standing at the edge of a slow-moving river which is one mile wide and wish to return to your campground on the opposite side of the river. You can swim at 2 mph and walk at 3 mph. You must first swim across the river to any point on the opposite bank. From there walk to the campground, which is one mile from the point directly across the river from where you start your swim. What route will take the least amount of time?
\end{document}