View of /trunk/webwork2/clients/input.txt

    1 ##DESCRIPTION
    2 ##  A very simple first problem
    3 ##ENDDESCRIPTION
    4 ##KEYWORDS('algebra')
    5 DOCUMENT();        # This should be the first executable line in the problem.
    6 loadMacros(
    7 "PG.pl",
    8 "PGbasicmacros.pl",
    9 "PGchoicemacros.pl",
   10 "PGanswermacros.pl",
   11 "PGauxiliaryFunctions.pl"
   12 );
   13 
   14 TEXT(&beginproblem);
   15 $showPartialCorrectAnswers = 1;
   16 $a = random(-10,-1,1);
   17 $b = random(1,11,1);
   18 $c = random(1,11,1);
   19 $d = random(1,11,1);
   20 
   21 BEGIN_TEXT
   22 $PAR
   23 displayMode  is $displayMode $BR
   24 $PAR
   25 This problem demonstrates how you enter numerical answers into WeBWorK. $PAR
   26 Evaluate the expression \(3($a )($b -$c -2($d ))\):
   27 
   28  \{==53; ans_rule(10) \}
   29 
   30 $BR
   31 END_TEXT
   32 $ans = 3*($a)*($b-$c-2*($d));
   33 
   34 &ANS(strict_num_cmp($ans));
   35 
   36 BEGIN_TEXT
   37 
   38 In the case above you need to enter a number, since we're testing whether you can multiply
   39 out these numbers. (You can use a calculator if you want.) 
   40 $PAR
   41 For most problems, you will be able to get WeBWorK to
   42 do some of the work for you.  For example
   43 $BR
   44 Calculate ($a) * ($b): \{ ans_rule()\}
   45 $BR
   46 END_TEXT
   47 $ans = $a*$b;
   48 
   49 &ANS(std_num_cmp($ans));
   50 
   51 BEGIN_TEXT
   52 The asterisk is what most computers use to denote multiplication and you can use this with WeBWorK. 
   53 But WeBWorK will also allow use to use  a space to denote multiplication.
   54 You can either \($a * $b\) or \{$a*$b\} or even \($a \ $b\).  All will work. Try them.  
   55 $PAR
   56 Now try calculating the sine of 45 degrees ( that's sine of pi over 4 in radians
   57 and numerically sin(pi/4) equals \{1/sqrt(2)\} or, more precisely,  \(1/\sqrt{2} \) ).  
   58 You can enter this as  sin(pi/4) , as 
   59 sin(3.1415926/4), as 1/sqrt(2), as 2**(-.5), etc. This is because WeBWorK knows about 
   60 functions like sin  and sqrt (square root). (Note: exponents
   61 can be indicated by either a "caret" or **). Try it.$BR  \( \sin(\pi/4) = \) \{ ans_rule(20) \}$PAR
   62  Here's the 
   63 \{
   64 htmlLink(qq!http://webwork.math.rochester.edu/webwork_system_html/docs/docs/pglanguage/availablefunctions.html!,"list 
   65 of the functions") \}
   66  which WeBWorK understands.   WeBWorK ALWAYS uses radian mode for trig functions. 
   67  $PAR
   68 END_TEXT
   69 
   70 &ANS( std_num_cmp(sin(3.1415926/4)) );
   71 BEGIN_TEXT
   72 You can also use juxtaposition to denote multiplication. E.g. enter \( 2\sin(3\pi/2) \).
   73 You can enter this as 2*sin(3*pi/2) or more simply as 2sin(3pi/2).  Try it: $BR 
   74 \{ ans_rule(20) \}$PAR
   75 
   76 END_TEXT
   77 
   78 $pi = 4*atan(1);
   79 &ANS( std_num_cmp(2*sin(3*$pi/2)) );
   80 
   81 BEGIN_TEXT
   82 Sometimes you need to use ( )'s to make your meaning clear. E.g. 1/2+3 is 3.5, but  1/(2+3) is .2 Why?
   83 Try entering both and use the ${LQ}Preview${RQ} button below to see the difference.  In addition to
   84 ( )'s, you can also use [ ]'s and $LB ${RB}'s.  $BR
   85 \{ ans_rule(20) \}$PAR
   86 END_TEXT
   87 
   88 &ANS( std_num_cmp(.2));
   89 
   90 BEGIN_TEXT
   91 You can always try to enter answers and let WeBWorK do the calculating. 
   92 WeBWorK will tell you if the problem requires a strict numerical answer. 
   93 The way we use WeBWorK in this class there is no penalty for getting an answer wrong.  What counts
   94 is that you get the answer right eventually (before the due date).  For complicated answers,
   95 you should use the ${LQ}Preview${RQ} button to check for syntax errors and also to check that the answer
   96 you enter is really what you think it is.
   97 END_TEXT
   98 
   99 ENDDOCUMENT();        # This should be the last executable line in the problem.