%entities; ]> localization = '

' origin = {} copiedfrom = {} seed = {} source = {} pghuman = {} pgdense = {} pgdense['hint_no_solution_no'] = {} pgdense['hint_no_solution_yes'] = {} pgdense['hint_yes_solution_no'] = {} pgdense['hint_yes_solution_yes'] = {}

origin["

"] = "server" seed["

"] = "

" source["

"] = "

origin["

"] = "ptx" copiedfrom["

"] = "

seed["

"] = "

" pghuman["

"] = """

""" pgdense["

"] = """

""" pgdense['hint_no_solution_no']["

"] = """

""" pgdense['hint_no_solution_yes']["

"] = """

""" pgdense['hint_yes_solution_no']["

"] = """

""" pgdense['hint_yes_solution_yes']["

"] = """

"""

(((

)))

DOCUMENT();

COMMENT('

');

DOCUMENT();

COMMENT('

'); COMMENT('This problem is scaffolded with multiple parts');

Body

BEGIN_PGML

END_PGML

Scaffold

Scaffold::Begin(is_open => "correct_or_first_incorrect", numbered => 1);

Scaffold::End(); BEGIN_PGML

END_PGML

Section

Section::Begin("

");

Section::End();

Section

Section::Begin("

"); BEGIN_PGML

END_PGML

Scaffold

Scaffold::Begin(numbered=>1);

Scaffold::End(); BEGIN_PGML

END_PGML Section::End();

PG Setup Code

Context('Numeric');

Body

BEGIN_PGML

END_PGML BEGIN_PGML

END_PGML

Solution

BEGIN_PGML_SOLUTION

END_PGML_SOLUTION

Hint

#Set value of $showHint in PGcourse.pl for course-wide attempt threshhold for revealing hints BEGIN_PGML_HINT

END_PGML_HINT

COMMENT(

);

## DBsubject( ) ## DBchapter( ) ## DBsection( ) ## Level( ) ## KEYWORDS( ) ## TitleText1(

) ## EditionText1(

) ## AuthorText1(

) ## Section1(not reported ) ## Problem1(

) ## Author( ) ## Institution( ) ## Language(

)

Header

TEXT(beginproblem());

<div style="display:none;">\(

\)</div>

TEXT(MODES(PTX=>'',HTML=> q

));

End Problem

ENDDOCUMENT();

Load Macros

PTX:WARNING: the WeBWorK PG macro is always included for every problem

PTX:WARNING: the WeBWorK PG macro is implied by the problem construction and already included

.pl

loadMacros(

);

$refreshCachedImages=1;

[

->correct_ans() ] **

5 [_] * {

} {

}

->print_a() @]* END_PGML ANS(checkbox_cmp(

->correct_ans())); BEGIN_PGML

[@ANS(essay_cmp()); essay_box(

6 ,

76 )@]*

[@essay_help()@]* ".AnswerFormatHelp('

')."

[@AnswerFormatHelp('

')@]*

angles decimals exponents formulas fractions inequalities numbers intervals logarithms limits numbers points syntax units vectors none

[@image(insertGraph(

), width=>

, alt=>""

, alt=>qq

)@]*

[@image(insertGraph(

), width=>

, alt=>""

, alt=>qq

)@]*

= createTikZImage();

->addToPreamble(latexImagePreamble());

->BEGIN_TIKZ

END_TIKZ

[@KeyboardInstructions(

)@]**

[```

```]

\begin{

}

\end{

}

gathered alignedat aligned PTX:ERROR: display math @alignment attribute "" is not recognized (should be "aligned", "gathered", "alignedat")

aligned gathered

[```

```]

\end{

}```]

[```\begin{

}

PTX:WARNING: magnitude or units needed

1 /

PTX:WARNING: unit or per element should have parent quantity element

PTX:WARNING: base unit needed ^

[@htmlLink("

","

","TARGET='_blank'")@]*

[@MODES(HTML => '$\mathrm\TeX$', TeX => '\TeX', PTX => '<tex/>')@]* [@MODES(HTML=>'$\mathrm\TeX$',TeX=>'\TeX', PTX=>'<tex/>')@]* [$LATEX]* [$TEX]* ' ' " " \[ \] & < > % $ ^ \_ \# ~ \* ... \{ \} \\ '

PTX:ERROR: the strings '[|' and '|]' are not supported within verbatim text in WeBWorK problems

|]*

```

``` [$NBSP]* [$NDASH]* [$MDASH]*

* o + * o + 1 a A i I a i A 1 . [$NBSP]*

[@DataTable(

[

none

left

align => '

align=>'

[

' border-left: border-left:

px solid; border-right: border-right:

px solid; ',

]

columnscss =>

columnscss=>

center => 0,

center=>0,

);@]*

[

1 0 1 0 border-bottom:

px solid; border-bottom:

px solid; vertical-align:

;

vertical-align:

;

border-bottom:

px solid; border-top:

px solid; border-left:

px solid; border-right:

px solid;

PGML('

'),

[PGML('

'),

colspan => '

halign => '

midrule => '

rowcss => '

cellcss => '

| | | PTX:WARNING: tabular left or right attribute not recognized: use none, minor, medium, major ############################################################ #

############################################################