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Notice the Preview button below the editor window. Use it liberally.
Notice the Save button below the editor window.
Save your edits and (if you wrote valid latex) admire how everything is updated.
Notice the pop-up formatting help (above Username)
Notice how the Table of Contents is automatically built when you have more than one header.
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Some LaTeX You Can Play With
Here is a problem!
A Problem!
Find the following limits. Be sure to explain your reasoning at
each step.
\begin{alignat*}{3}
&a) \lim_{x \to \infty}\frac{x+\sin x }{ 5x+6} & &b) \lim_
{x \to \infty}\frac{\sin x }{ x} & &c) \lim_{x \to \infty}x \sin \frac{
1 }{ x} \\
&d) \lim_{x \to \infty}\frac{x \sin x }{ x^2+5} &
&e) \lim_{x \to \infty}{\sqrt {x^2+x} - x} &
&f) \lim_{x \to \infty}\frac{x^2( 1+ \sin^2x) }{ (x+\sin x
)^2}
\end{alignat*}
Tags: practice, editors
A Bonus Problem
When a model rocket is launched, the propellant burns for a
few seconds, accelerating the rocket upward. After burnout, the
rocket coasts upward for awhile and then begins to fall. A small
explosive charge pops out a parachute shortly after the rocket starts
down. The parachute slows the rocket to keep it from breaking when it
lands.
The figure below shows velocity data from the flight
of a model rocket. Use the data to answer the questions below.
How fast was the rocket climbing when the engine stopped?
For how many seconds did the engine burn?
When did the rocket reach its highest point? What was
its velocity there?
When did the parachute pop out? How fast was the
rocket falling then?
How long did the rocket fall before the parachute opened?
Very carefully sketch a graph of the height of the
rocket (in feet) versus time (in seconds).