** Using WeBWorK **

The Java applet example

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 where and are parameters. For each value of find the value of 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 from . b =

DOCUMENT();

loadMacros("PG.pl",
           "PGbasicmacros.pl",
           "PGchoicemacros.pl",
           "PGanswermacros.pl",
           ); 

TEXT(beginproblem(), $BR,$BBOLD, "Java applet example", $EBOLD, $BR,$BR); 
# define function to be evaluated
$a= random(1,3,1);
$b= random(-4,4,.1);
$c = random(-4,4,1);
$x0=random(-2,2,1);
$function = FEQ(" ${a}x^2+${b}x +$c ");  # This function will be redefined for javaScript as well.
sub fp {   # define a subroutine to calculate the derivative
	my $x = shift;
	2*$a*$x+$b;
}
$ans = fp($x0);

BEGIN_TEXT
$PAR
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.
$PAR
WeBWorK can use existing $BBOLD javaScript$EBOLD  and $BBOLD Java $EBOLD 
code to augment its capabilities.
$HR

END_TEXT
$javaApplet = <<EOF;
<applet code="mathbeans.SliderGraphApplet.class"
    archive="/courses/system_html/applets/mathbeans.jar"
    codebase="../classes/" width=400 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
# only print out the java applet code when viewing on the screen
TEXT(MODES(
     TeX        => " \fbox{ The java applet was displayed here
                    }",
     HTML       =>  $javaApplet,
));

$a1= random(-3,3,.5);
$a2= random(-3,3,.5);
$a3= random(-3,3,.5);
$b1 = ($a1/2)**2;  # remember to use ** for exponentiation when 
                   # calculating in pure Perl!
$b2=  ($a2 / 2)**2;
$b3 = ($a3 / 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(fun_cmp('(a/2)^2', vars=>'a'));


ENDDOCUMENT();

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:

<| Post or View Comments |>