<
< |
-
- Set# BEGINANSWER =
 <--
- Set# SHOWWORK =
| | Diagnostic Tests:
| |
<
< |
-
- Set BEGINANSWER =
<--
- Set SHOWWORK =
| | Diagnostic Tests: | |
>
> |
- What is an answer?
- Set BEGINANSWER =
<--
- Set SHOWWORK =
| | Diagnostic Tests:
|
Welcome to the Math Support Center! | | |
<
< | <--/twistyPlugin twikiMakeVisibleInline--> | | | Link to: MathTest for example MathMode syntax. | |
<
< | <--/twistyPlugin--> | >
> |
| | | Error during latex2img: ERROR: problems during latex
INPUT:
\documentclass[fleqn,12pt]{article}
\usepackage{amsmath}
\usepackage[normal]{xcolor}
\setlength{\mathindent}{0cm}
\definecolor{teal}{rgb}{0,0.5,0.5}
\definecolor{navy}{rgb}{0,0,0.5}
\definecolor{aqua}{rgb}{0,1,1}
\definecolor{lime}{rgb}{0,1,0}
\definecolor{maroon}{rgb}{0.5,0,0}
\definecolor{silver}{gray}{0.75}
\usepackage{latexsym}
\begin{document}
\pagestyle{empty}
\pagecolor{white}
{
\color{black}
\begin{math}\displaystyle = \frac{\Pi}{6} radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = \frac{60\Pi}{360} radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle 30^{\circ} \dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = 2\Pi radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle \frac{\Pi}{6}\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = 360^{\circ}\end{math}
}
\clearpage
\end{document}
STDERR:
This is pdfTeX, Version 3.1415926-2.5-1.40.14 (TeX Live 2013)
restricted \write18 enabled.
entering extended mode
(/tmp/Y6kYwEqLin/X__nDihHW7
LaTeX2e <2011/06/27>
Babel and hyphenation patterns for english, dumylang, nohyphenation, lo
aded.
(/usr/share/texlive/texmf-dist/tex/latex/base/article.cls
Document Class: article 2007/10/19 v1.4h Standard LaTeX document class
(/usr/share/texlive/texmf-dist/tex/latex/base/fleqn.clo)
(/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty
For additional information on amsmath, use the `?' option.
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty)
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty))
(/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty
(/usr/share/texlive/texmf-dist/tex/latex/latexconfig/color.cfg)
(/usr/share/texlive/texmf-dist/tex/latex/graphics/dvips.def))
(/usr/share/texlive/texmf-dist/tex/latex/base/latexsym.sty)
No file X__nDihHW7.aux.
(/usr/share/texlive/texmf-dist/tex/latex/base/ulasy.fd) [1] [2]
! Extra }, or forgotten $.
}
l.27 \begin{math}\displaystyle 30^{\circ} \dot $
\frac{ 2\Pi radians }{ 360^{...
! Missing } inserted.
}
l.27 \begin{math}\displaystyle 30^{\circ} \dot $
\frac{ 2\Pi radians }{ 360^{...
! Missing } inserted.
}
l.27 ...dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }
\end{math}
! Extra }, or forgotten \endgroup.
\frac #1#2->{\begingroup #1\endgroup \@@over #2}
l.27 ...dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }
\end{math}
! LaTeX Error: Bad math environment delimiter.
See the LaTeX manual or LaTeX Companion for explanation.
Type H for immediate help.
...
l.27 ...{ 2\Pi radians }{ 360^{\circ}$ }\end{math}
[3] [4] [5] [6] (./X__nDihHW7.aux) )
(see the transcript file for additional information)
Output written on X__nDihHW7.dvi (6 pages, 1772 bytes).
Transcript written on X__nDihHW7.log.
| | |
1.  | |
<
< | <--/twistyPlugin twikiMakeVisibleInline--> | >
> |
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2.  | |
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< | <--/twistyPlugin twikiMakeVisibleInline--> | >
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< | <--/twistyPlugin twikiMakeVisibleInline--> | >
> |
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12.  | |
<
< | <--/twistyPlugin twikiMakeVisibleInline--> | >
> |
| | | Trig
Answer the following questions without calculators or trig tables.
Leave answers like  or  as is. |
| | Diagnostic Tests:
| | |
 | |
>
> |  | | | </> <--/twistyPlugin-->
2. |
| | Diagnostic Tests:
|
Welcome to the Math Support Center! | | |
<
< | Link to: MathTest | >
> | <--/twistyPlugin twikiMakeVisibleInline-->
Link to: MathTest for example MathMode syntax.
<--/twistyPlugin-->
<--/twistyPlugin twikiMakeVisibleInline-->
What further explanation could you possibly want here???
<--/twistyPlugin--> | | | Error during latex2img: ERROR: problems during latex
INPUT:
\documentclass[fleqn,12pt]{article}
\usepackage{amsmath}
\usepackage[normal]{xcolor}
\setlength{\mathindent}{0cm}
\definecolor{teal}{rgb}{0,0.5,0.5}
\definecolor{navy}{rgb}{0,0,0.5}
\definecolor{aqua}{rgb}{0,1,1}
\definecolor{lime}{rgb}{0,1,0}
\definecolor{maroon}{rgb}{0.5,0,0}
\definecolor{silver}{gray}{0.75}
\usepackage{latexsym}
\begin{document}
\pagestyle{empty}
\pagecolor{white}
{
\color{black}
\begin{math}\displaystyle = \frac{\Pi}{6} radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = \frac{60\Pi}{360} radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle 30^{\circ} \dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = 2\Pi radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle \frac{\Pi}{6}\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = 360^{\circ}\end{math}
}
\clearpage
\end{document}
STDERR:
This is pdfTeX, Version 3.1415926-2.5-1.40.14 (TeX Live 2013)
restricted \write18 enabled.
entering extended mode
(/tmp/QR5ibNeS_e/SVyaJxARvA
LaTeX2e <2011/06/27>
Babel and hyphenation patterns for english, dumylang, nohyphenation, lo
aded.
(/usr/share/texlive/texmf-dist/tex/latex/base/article.cls
Document Class: article 2007/10/19 v1.4h Standard LaTeX document class
(/usr/share/texlive/texmf-dist/tex/latex/base/fleqn.clo)
(/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty
For additional information on amsmath, use the `?' option.
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty)
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty))
(/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty
(/usr/share/texlive/texmf-dist/tex/latex/latexconfig/color.cfg)
(/usr/share/texlive/texmf-dist/tex/latex/graphics/dvips.def))
(/usr/share/texlive/texmf-dist/tex/latex/base/latexsym.sty)
No file SVyaJxARvA.aux.
(/usr/share/texlive/texmf-dist/tex/latex/base/ulasy.fd) [1] [2]
! Extra }, or forgotten $.
}
l.27 \begin{math}\displaystyle 30^{\circ} \dot $
\frac{ 2\Pi radians }{ 360^{...
! Missing } inserted.
}
l.27 \begin{math}\displaystyle 30^{\circ} \dot $
\frac{ 2\Pi radians }{ 360^{...
! Missing } inserted.
}
l.27 ...dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }
\end{math}
! Extra }, or forgotten \endgroup.
\frac #1#2->{\begingroup #1\endgroup \@@over #2}
l.27 ...dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }
\end{math}
! LaTeX Error: Bad math environment delimiter.
See the LaTeX manual or LaTeX Companion for explanation.
Type H for immediate help.
...
l.27 ...{ 2\Pi radians }{ 360^{\circ}$ }\end{math}
[3] [4] [5] [6] (./SVyaJxARvA.aux) )
(see the transcript file for additional information)
Output written on SVyaJxARvA.dvi (6 pages, 1772 bytes).
Transcript written on SVyaJxARvA.log.
| | |
Combine and simplify expressions as much as possible.
Solve equations for x. | |
<
< | %RENDERLIST{"org" depth="2"}% | | | | |
<
< | 1.
%TWISTY{mode="div" showlink="Show..." hidelink="Hide" | >
> | 1.
<--/twistyPlugin twikiMakeVisibleInline--> <--/twistyPlugin-->
2.
<--/twistyPlugin twikiMakeVisibleInline--> <--/twistyPlugin-->
3.
<--/twistyPlugin twikiMakeVisibleInline-->
- Cannot be simplified.
- however, if we are told further that
 then we have a common factor in the denominator:
<--/twistyPlugin-->
4.
%TWISTY{mode="div" showlink="Show Solution..." hidelink="Hide Solution" | | | showimgleft="/pub/TWiki/TWikiDocGraphics/toggleopen-small.gif"
hideimgleft="/pub/TWiki/TWikiDocGraphics/toggleclose-small.gif" style="twikiHelp"}% | |
<
< |  | >
> |  | | | | |
<
< | 
 | >
> |  | | |
</> <--/twistyPlugin--> | |
<
< | 2.
-
- =
-
- =
-
- =
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- =
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- =
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- =
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- =
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> | 5.
<--/twistyPlugin twikiMakeVisibleInline--> <--/twistyPlugin-->
6.
<--/twistyPlugin twikiMakeVisibleInline--> <--/twistyPlugin-->
7.
<--/twistyPlugin twikiMakeVisibleInline--> | | | | |
>
> | 
<--/twistyPlugin-->
8.
<--/twistyPlugin twikiMakeVisibleInline--> <--/twistyPlugin-->
9.
<--/twistyPlugin twikiMakeVisibleInline-->
Alternatively:
Recall Pascal's Triangle:
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
...in which elements in a row are the sum of the two elements in the row above it. These numbers are the Binomial Coefficients.
is the cube of the binomial  so the coefficients can be taken from the third row above:
1 3 3 1 and the exponents on  start with  and count down, while the exponents on 
start with  and count up:
 which simplifies to:
as previously.
<--/twistyPlugin-->
10.
<--/twistyPlugin twikiMakeVisibleInline--> <--/twistyPlugin-->
11.
<--/twistyPlugin twikiMakeVisibleInline-->
if a product is zero one of its factors must be zero so:
either  or  or 
and either  or  or 
<--/twistyPlugin-->
12.
<--/twistyPlugin twikiMakeVisibleInline-->
<--/twistyPlugin twikiMakeVisibleInline-->
- Rearrange so the equation is of the form:
-
- and use the Quadratic Formula:
-
<--/twistyPlugin-->
<--/twistyPlugin--> | | | Trig
Answer the following questions without calculators or trig tables.
Leave answers like or as is. | |
<
< |
- Convert:
-
 to radians.
-
 to degrees.
-
 to radians.
- Evaluate:
-
-
-
- Sketch the graph of
| >
> | 1. Convert:
a. to radians.
b. to degrees.
c. to radians.
2. Evaluate:
a.
b.
c.
3. Sketch the graph of
| | | (Make your vertical scale as large as possible.) | |
<
< |
- Given
- Solve the following right triangle:
| >
> | 4. Given
5. Solve the following right triangle:
| | | ( i.e. determine missing sides and angles.) | |
<
< |
-
-
-
-
- Relate to
 and 
-
- %#$\mbox{ \small $\sin{\frac{\pi}{2} -\theta}$ }$%
- %#$\mbox{ \small $\sin{2\theta}$ }$%
- Express in terms of
 of 
| >
> | a.
b.
c.
6. Relate to and
a.
b. 
c. 
7. Express in terms of  and  of  and  : | | | |
| | Diagnostic Tests:
| | | Error during latex2img: ERROR: problems during latex
INPUT:
\documentclass[fleqn,12pt]{article}
\usepackage{amsmath}
\usepackage[normal]{xcolor}
\setlength{\mathindent}{0cm}
\definecolor{teal}{rgb}{0,0.5,0.5}
\definecolor{navy}{rgb}{0,0,0.5}
\definecolor{aqua}{rgb}{0,1,1}
\definecolor{lime}{rgb}{0,1,0}
\definecolor{maroon}{rgb}{0.5,0,0}
\definecolor{silver}{gray}{0.75}
\usepackage{latexsym}
\begin{document}
\pagestyle{empty}
\pagecolor{white}
{
\color{black}
\begin{math}\displaystyle = \frac{\Pi}{6} radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = \frac{60\Pi}{360} radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle 30^{\circ} \dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = 2\Pi radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle \frac{\Pi}{6}\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = 360^{\circ}\end{math}
}
\clearpage
\end{document}
STDERR:
This is pdfTeX, Version 3.1415926-2.5-1.40.14 (TeX Live 2013)
restricted \write18 enabled.
entering extended mode
(/tmp/4nqGeNZ_yM/lmvuYjXU0Z
LaTeX2e <2011/06/27>
Babel and hyphenation patterns for english, dumylang, nohyphenation, lo
aded.
(/usr/share/texlive/texmf-dist/tex/latex/base/article.cls
Document Class: article 2007/10/19 v1.4h Standard LaTeX document class
(/usr/share/texlive/texmf-dist/tex/latex/base/fleqn.clo)
(/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty
For additional information on amsmath, use the `?' option.
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty)
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty))
(/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty
(/usr/share/texlive/texmf-dist/tex/latex/latexconfig/color.cfg)
(/usr/share/texlive/texmf-dist/tex/latex/graphics/dvips.def))
(/usr/share/texlive/texmf-dist/tex/latex/base/latexsym.sty)
No file lmvuYjXU0Z.aux.
(/usr/share/texlive/texmf-dist/tex/latex/base/ulasy.fd) [1] [2]
! Extra }, or forgotten $.
}
l.27 \begin{math}\displaystyle 30^{\circ} \dot $
\frac{ 2\Pi radians }{ 360^{...
! Missing } inserted.
}
l.27 \begin{math}\displaystyle 30^{\circ} \dot $
\frac{ 2\Pi radians }{ 360^{...
! Missing } inserted.
}
l.27 ...dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }
\end{math}
! Extra }, or forgotten \endgroup.
\frac #1#2->{\begingroup #1\endgroup \@@over #2}
l.27 ...dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }
\end{math}
! LaTeX Error: Bad math environment delimiter.
See the LaTeX manual or LaTeX Companion for explanation.
Type H for immediate help.
...
l.27 ...{ 2\Pi radians }{ 360^{\circ}$ }\end{math}
[3] [4] [5] [6] (./lmvuYjXU0Z.aux) )
(see the transcript file for additional information)
Output written on lmvuYjXU0Z.dvi (6 pages, 1772 bytes).
Transcript written on lmvuYjXU0Z.log.
| |
>
> | | | | Algebra | |
>
> | | | | Combine and simplify expressions as much as possible.
Solve equations for x. | |
<
< |
-
-
-
| >
> | %RENDERLIST{"org" depth="2"}%
1.
1.
-
- =
-
- =
-
- =
-
- =
-
-
- =
-
- =
-
| | |
-
| |
<
< | | >
> |
-
- =
-
- =
-
| | |
-
| |
<
< | | >
> |
-
- =
-
- =
-
- =
-
- =
-
- =
-
| | |
-
| |
<
< | | >
> |
-
- =
-
- =
-
- =
-
- =
-
| | |
-
| |
<
< | | >
> |
-
- =
-
- =
-
- =
-
- =
-
| | |
-
-
-
|
| | Diagnostic Tests:
| | | | |
<
< | | >
> | | | |
-
|
|
<
< | Cornell University Mathematics Support Center | >
> | Diagnostic Tests: | | |
|
Welcome to the Math Support Center!
Link to: MathTest
|
|
|
Error during latex2img: ERROR: problems during latex
INPUT:
\documentclass[fleqn,12pt]{article}
\usepackage{amsmath}
\usepackage[normal]{xcolor}
\setlength{\mathindent}{0cm}
\definecolor{teal}{rgb}{0,0.5,0.5}
\definecolor{navy}{rgb}{0,0,0.5}
\definecolor{aqua}{rgb}{0,1,1}
\definecolor{lime}{rgb}{0,1,0}
\definecolor{maroon}{rgb}{0.5,0,0}
\definecolor{silver}{gray}{0.75}
\usepackage{latexsym}
\begin{document}
\pagestyle{empty}
\pagecolor{white}
{
\color{black}
\begin{math}\displaystyle = \frac{\Pi}{6} radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = \frac{60\Pi}{360} radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle 30^{\circ} \dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = 2\Pi radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle \frac{\Pi}{6}\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = 360^{\circ}\end{math}
}
\clearpage
\end{document}
STDERR:
This is pdfTeX, Version 3.1415926-2.5-1.40.14 (TeX Live 2013)
restricted \write18 enabled.
entering extended mode
(/tmp/Pvfo4FL6Mb/cQpFo2d8HT
LaTeX2e <2011/06/27>
Babel and hyphenation patterns for english, dumylang, nohyphenation, lo
aded.
(/usr/share/texlive/texmf-dist/tex/latex/base/article.cls
Document Class: article 2007/10/19 v1.4h Standard LaTeX document class
(/usr/share/texlive/texmf-dist/tex/latex/base/fleqn.clo)
(/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty
For additional information on amsmath, use the `?' option.
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty)
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty))
(/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty
(/usr/share/texlive/texmf-dist/tex/latex/latexconfig/color.cfg)
(/usr/share/texlive/texmf-dist/tex/latex/graphics/dvips.def))
(/usr/share/texlive/texmf-dist/tex/latex/base/latexsym.sty)
No file cQpFo2d8HT.aux.
(/usr/share/texlive/texmf-dist/tex/latex/base/ulasy.fd) [1] [2]
! Extra }, or forgotten $.
}
l.27 \begin{math}\displaystyle 30^{\circ} \dot $
\frac{ 2\Pi radians }{ 360^{...
! Missing } inserted.
}
l.27 \begin{math}\displaystyle 30^{\circ} \dot $
\frac{ 2\Pi radians }{ 360^{...
! Missing } inserted.
}
l.27 ...dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }
\end{math}
! Extra }, or forgotten \endgroup.
\frac #1#2->{\begingroup #1\endgroup \@@over #2}
l.27 ...dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }
\end{math}
! LaTeX Error: Bad math environment delimiter.
See the LaTeX manual or LaTeX Companion for explanation.
Type H for immediate help.
...
l.27 ...{ 2\Pi radians }{ 360^{\circ}$ }\end{math}
[3] [4] [5] [6] (./cQpFo2d8HT.aux) )
(see the transcript file for additional information)
Output written on cQpFo2d8HT.dvi (6 pages, 1772 bytes).
Transcript written on cQpFo2d8HT.log.
| |
<
< | Diagnostic Tests
Algebra
Simplify, if possible: | >
> |
Algebra
Combine and simplify expressions as much as possible.
Solve equations for x. | | |
-
| |
<
< |
-
-
-
-
-
-
| >
> |
-
-
-
-
-
| | |
-
-
| |
<
< |
-
-
-
Trig
-
-
| >
> |
-
-
-
Trig
Answer the following questions without calculators or trig tables.
Leave answers like or as is.
- Convert:
- to radians.
- to degrees.
- to radians.
- Evaluate:
-
-
-
| | |
-
-
|
| | Cornell University Mathematics Support Center
|
Welcome to the Math Support Center! | | | |
-- DickFurnas - 01 Mar 2007 | |
>
> |
| META TOPICMOVED |
by="DickFurnas" date="1172782266" from="Main.MathSupportCenter" to="MSC.DiagnosticTest" |
|
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Diagnostic Tests
Algebra Error during latex2img: ERROR: problems during latex
INPUT:
\documentclass[fleqn,12pt]{article}
\usepackage{amsmath}
\usepackage[normal]{xcolor}
\setlength{\mathindent}{0cm}
\definecolor{teal}{rgb}{0,0.5,0.5}
\definecolor{navy}{rgb}{0,0,0.5}
\definecolor{aqua}{rgb}{0,1,1}
\definecolor{lime}{rgb}{0,1,0}
\definecolor{maroon}{rgb}{0.5,0,0}
\definecolor{silver}{gray}{0.75}
\usepackage{latexsym}
\begin{document}
\pagestyle{empty}
\pagecolor{white}
{
\color{black}
\begin{math}\displaystyle = \frac{\Pi}{6} radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = \frac{60\Pi}{360} radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle 30^{\circ} \dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = 2\Pi radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle \frac{\Pi}{6}\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = 360^{\circ}\end{math}
}
\clearpage
\end{document}
STDERR:
This is pdfTeX, Version 3.1415926-2.5-1.40.14 (TeX Live 2013)
restricted \write18 enabled.
entering extended mode
(/tmp/KaSFZSUHvW/GO0drvTV2J
LaTeX2e <2011/06/27>
Babel and hyphenation patterns for english, dumylang, nohyphenation, lo
aded.
(/usr/share/texlive/texmf-dist/tex/latex/base/article.cls
Document Class: article 2007/10/19 v1.4h Standard LaTeX document class
(/usr/share/texlive/texmf-dist/tex/latex/base/fleqn.clo)
(/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty
For additional information on amsmath, use the `?' option.
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty)
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty))
(/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty
(/usr/share/texlive/texmf-dist/tex/latex/latexconfig/color.cfg)
(/usr/share/texlive/texmf-dist/tex/latex/graphics/dvips.def))
(/usr/share/texlive/texmf-dist/tex/latex/base/latexsym.sty)
No file GO0drvTV2J.aux.
(/usr/share/texlive/texmf-dist/tex/latex/base/ulasy.fd) [1] [2]
! Extra }, or forgotten $.
}
l.27 \begin{math}\displaystyle 30^{\circ} \dot $
\frac{ 2\Pi radians }{ 360^{...
! Missing } inserted.
}
l.27 \begin{math}\displaystyle 30^{\circ} \dot $
\frac{ 2\Pi radians }{ 360^{...
! Missing } inserted.
}
l.27 ...dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }
\end{math}
! Extra }, or forgotten \endgroup.
\frac #1#2->{\begingroup #1\endgroup \@@over #2}
l.27 ...dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }
\end{math}
! LaTeX Error: Bad math environment delimiter.
See the LaTeX manual or LaTeX Companion for explanation.
Type H for immediate help.
...
l.27 ...{ 2\Pi radians }{ 360^{\circ}$ }\end{math}
[3] [4] [5] [6] (./GO0drvTV2J.aux) )
(see the transcript file for additional information)
Output written on GO0drvTV2J.dvi (6 pages, 1772 bytes).
Transcript written on GO0drvTV2J.log.
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<
< | Simplify: | >
> | Simplify, if possible: | | | | |
<
< | | >
> |
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| | |
Trig | |
>
> |
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-- DickFurnas - 01 Mar 2007 |
|
>
> | Cornell University Mathematics Support Center
|
Welcome to the Math Support Center!
|
|
|
Diagnostic Tests
Algebra
Simplify:
Trig
-- DickFurnas - 01 Mar 2007Error during latex2img: ERROR: problems during latex
INPUT:
\documentclass[fleqn,12pt]{article}
\usepackage{amsmath}
\usepackage[normal]{xcolor}
\setlength{\mathindent}{0cm}
\definecolor{teal}{rgb}{0,0.5,0.5}
\definecolor{navy}{rgb}{0,0,0.5}
\definecolor{aqua}{rgb}{0,1,1}
\definecolor{lime}{rgb}{0,1,0}
\definecolor{maroon}{rgb}{0.5,0,0}
\definecolor{silver}{gray}{0.75}
\usepackage{latexsym}
\begin{document}
\pagestyle{empty}
\pagecolor{white}
{
\color{black}
\begin{math}\displaystyle = \frac{\Pi}{6} radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = \frac{60\Pi}{360} radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle 30^{\circ} \dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = 2\Pi radians\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle \frac{\Pi}{6}\end{math}
}
\clearpage
{
\color{black}
\begin{math}\displaystyle = 360^{\circ}\end{math}
}
\clearpage
\end{document}
STDERR:
This is pdfTeX, Version 3.1415926-2.5-1.40.14 (TeX Live 2013)
restricted \write18 enabled.
entering extended mode
(/tmp/_1_m6w3n6a/7Wod4wYx3u
LaTeX2e <2011/06/27>
Babel and hyphenation patterns for english, dumylang, nohyphenation, lo
aded.
(/usr/share/texlive/texmf-dist/tex/latex/base/article.cls
Document Class: article 2007/10/19 v1.4h Standard LaTeX document class
(/usr/share/texlive/texmf-dist/tex/latex/base/fleqn.clo)
(/usr/share/texlive/texmf-dist/tex/latex/base/size12.clo))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty
For additional information on amsmath, use the `?' option.
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amstext.sty
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsgen.sty))
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsbsy.sty)
(/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsopn.sty))
(/usr/share/texlive/texmf-dist/tex/latex/xcolor/xcolor.sty
(/usr/share/texlive/texmf-dist/tex/latex/latexconfig/color.cfg)
(/usr/share/texlive/texmf-dist/tex/latex/graphics/dvips.def))
(/usr/share/texlive/texmf-dist/tex/latex/base/latexsym.sty)
No file 7Wod4wYx3u.aux.
(/usr/share/texlive/texmf-dist/tex/latex/base/ulasy.fd) [1] [2]
! Extra }, or forgotten $.
}
l.27 \begin{math}\displaystyle 30^{\circ} \dot $
\frac{ 2\Pi radians }{ 360^{...
! Missing } inserted.
}
l.27 \begin{math}\displaystyle 30^{\circ} \dot $
\frac{ 2\Pi radians }{ 360^{...
! Missing } inserted.
}
l.27 ...dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }
\end{math}
! Extra }, or forgotten \endgroup.
\frac #1#2->{\begingroup #1\endgroup \@@over #2}
l.27 ...dot $\frac{ 2\Pi radians }{ 360^{\circ}$ }
\end{math}
! LaTeX Error: Bad math environment delimiter.
See the LaTeX manual or LaTeX Companion for explanation.
Type H for immediate help.
...
l.27 ...{ 2\Pi radians }{ 360^{\circ}$ }\end{math}
[3] [4] [5] [6] (./7Wod4wYx3u.aux) )
(see the transcript file for additional information)
Output written on 7Wod4wYx3u.dvi (6 pages, 1772 bytes).
Transcript written on 7Wod4wYx3u.log.
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