View of /trunk/NationalProblemLibrary/Dartmouth/setStewartCh15S1/problem_4.pg

    1 ## DESCRIPTION
    2 ## Calculus
    3 ## ENDDESCRIPTION
    4 
    5 ## KEYWORDS('function' 'graph')
    6 ## Tagged by tda2d
    7 
    8 ## DBsubject('Calculus')
    9 ## DBchapter('Partial Derivatives')
   10 ## DBsection('Functions of Several Variables')
   11 ## Date('')
   12 ## Author('')
   13 ## Institution('Dartmouth')
   14 ## TitleText1('Calculus')
   15 ## EditionText1('5')
   16 ## AuthorText1('Stewart')
   17 ## Section1('15.1')
   18 ## Problem1('')
   19 
   20 
   21 DOCUMENT();
   22 loadMacros("PG.pl",
   23            "PGbasicmacros.pl",
   24            "PGchoicemacros.pl",
   25            "PGanswermacros.pl",
   26            "PGauxiliaryFunctions.pl",
   27            "PGgraphmacros.pl",
   28            "Dartmouthmacros.pl");
   29 
   30 
   31 ## Do NOT show partial correct answers
   32 $showPartialCorrectAnswers = 1;
   33 
   34 @questions = (
   35               "\(f(x,y) = 1/(1 + x^2 + y^2)\)",
   36               "\(f(x,y) = (x^2 - y^2)^2\)",
   37               "\(f(x,y) = (x - y)^2\)",
   38               "\(f(x,y) = \cos(x^2 + y^2)/(1 + x^2 + y^2)\)",
   39               "\(f(x,y) = \sin(y)\)",
   40               "\(f(x,y) = 3 - x^2 - y^2\)",
   41               "\(f(x,y) = \sin(x)\sin(y)e^{-x^2 - y^2}\)",
   42               );
   43 
   44 @images = (
   45             "1c.gif",
   46             "2c.gif",
   47             "3c.gif",
   48             "4c.gif",
   49             "5c.gif",
   50             "6c.gif",
   51             "7c.gif"
   52             );
   53 
   54 @subset = NchooseK(7,7);
   55 
   56 @subset_of_questions = @questions[@subset];
   57 @subset_of_images = @images[@subset];
   58 
   59 @permutation = NchooseK(7,7);
   60 @shuffled_subset_of_images = @subset_of_images[@permutation];
   61 
   62 
   63 @captions = @ALPHABET[0..6];
   64 
   65 ## Ok, we are ready to begin the problem...
   66 ##
   67 TEXT(beginproblem());
   68 
   69 
   70 BEGIN_TEXT
   71 $BR
   72 
   73 Match the funstions with their contour plots labeled A - G.  These are
   74 the same functions as in the previous problem, so you may want to look
   75 at the graphs to help you out.  As always, you may click on the
   76 thumbnail image to produce a larger image in a new window (sometimes
   77 exactly on top of the old one).
   78 
   79 $PAR
   80 END_TEXT
   81 
   82 TEXT(
   83      match_questions_list(@subset_of_questions),
   84      imageRow(~~@shuffled_subset_of_images,~~@captions)
   85      );
   86 
   87 ANS(str_cmp([@ALPHABET[invert(@permutation)]]));
   88 ENDDOCUMENT();
   89 
   90 
   91 
   92