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This page is no longer being maintained. The new URL for this content is http://webwork.maa.org/wiki/JavaApplets

The Java applet example

To obtain this problem
(1 pt) rochesterLibrary/setMAAtutorial/javaappletexample.pg

Java applet example

This problem illustrates how you can embed Java applet code in a WeBWorK example to create an interactive homework problem that could never be provided by a text book.

WeBWorK can use existing javaScript and Java code to augment its capabilities.

mathbean applet from David Ecks

The graph above represents the function

f(x) = x^2 + a x +b
where a and b are parameters.

For each value of a find the value of b which makes the graph just touch the x-axis.
if a= 2 then
if a= -0.5 then
if a= -2.5 then

Does this relationship between a and b specify b as a function of a? (Yes or No)
Does this relationship between a and b specify a as a function of b? (Yes or No)
Write a formula for calculating this value of b from a.
b =

WARNINGS
µ¦å{h­
Enter this code {viewSource(setMAAtutorial/javaappletexample.pg)} 

DOCUMENT();


loadMacros(PG.pl,
	PGbasicmacros.pl,
	PGchoicemacros.pl,
	PGanswermacros.pl
);
TEXT(beginproblem());
$javaApplet = <<EOF;
	< applet code="mathbeans.SliderGraphApplet.class"
	archive="/applets/mathbeans.jar" codebase="../classes/" width=480
	height=380>
	< PARAM NAME="variable1" VALUE="a">
	< PARAM NAME="variable2" VALUE="b">
	< param name="function"   value="x^2 +a*x +b">
	< param name="limits"     value="-2 2 -9 9">
</applet>
< H6><A HREF="http://math.hws.edu/mathbeans/applets/index.html">mathbean
applet from David Ecks </A> </H6>
EOF


TEXT(MODES(
TeX        => " \fbox{ The java applet was displayed here}",
Latex2HTML => "\begin{rawhtml} $javaApplet \end{rawhtml}",
HTML_tth  => $javaApplet,
HTML       =>  $javaApplet,
));


$a1= random(-3,3,.5);
$a2= random(-3,3,.5);
$a3= random(-3,3,.5);
$b1 =($a1/2)**2; 
ANS( num_cmp(  $b1, reltol => 10, format=>'%0.2g'));
ANS( num_cmp(  $b2,reltol => 10, format=>'%0.2g'));
ANS( num_cmp(  $b3, reltol => 10,format=>'%0.2g'));
BEGIN_TEXT
$PAR The graph above represents the function \[f(x) = x^2 + a x +b \]
where \( a \) and \( b \) are parameters. $PAR


For each value of  \( a \) find the value of \( b \) which makes the
graph just touch the x-axis. $BR
if a= $a1 then \{  ans_rule(10) \}$BR
if a= $a2 then \{  ans_rule(10) \}$BR
if a= $a3 then \{  ans_rule(10) \}
$PAR
Does this relationship between a and b specify b as a function of a? \{
ans_rule(4) \} (Yes or No)$BR
Does this relationship between a and b specify a as a function of b? \{
ans_rule(4) \} (Yes or No)$BR
Write a formula for calculating this value of \( b \) from \( a \).$BR b
= \{ ans_rule(40) \}
END_TEXT
ANS(str_cmp('Yes') ); ANS(str_cmp('No')  );
ANS(function_cmp( '(a/2)^2', 'a') );
ENDDOCUMENT();

Comments:

This problem is just a demo -- it doesn't actually work if you push the submit answer button. (You can test a {linkWebworkProblem("tutorialCourse", "setFirstSteps","10","live")} version of this problem.)


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Last update: Monday, March 3, 2008 at 6:27:30 PM.
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