[system] / trunk / webwork2 / clients / input.txt Repository: Repository Listing bbplugincoursesdistsnplrochestersystemwww

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

Wed Jun 28 21:13:03 2006 UTC (6 years, 10 months ago) by gage
File size: 3273 byte(s)
Fixed error deliberately introduced into 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.
7 "PG.pl",
8 "PGbasicmacros.pl",
9 "PGchoicemacros.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.