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Wed Nov 30 18:27:39 2005 UTC (7 years, 5 months ago) by jj
File size: 2213 byte(s)
Fixed bug 910 (misspelling); adjusted some spacing; put a variable in math mode in the text.


    1 ##DESCRIPTION
2 #  Created: 3/01/02
3 #  Author: Minock
4 #  Stewart 4th ed., section 10.1
5 #  Match parametric equations for unit circle with description
6 ##ENDDESCRIPTION
7
8 ##KEYWORDS('parametric')
9 ## tcao tagged and PAID on 12-12-2003
10
11 ## DBsubject('Calculus')
12 ## DBchapter('Parametric Equations and Polar Coordinates')
13 ## DBsection('Curves Defined by Parametric Equations')
14 ## Date('6/3/2002')
15 ## Author('')
16 ## Institution('')
17 ## TitleText1('Calculus Early Transcendentals')
18 ## EditionText1('4')
19 ## AuthorText1('Stewart')
20 ## Section1('10.1')
21 ## Problem1('19 17')
22 DOCUMENT();
23
25 "PG.pl",
26 "PGbasicmacros.pl",
27 "PGchoicemacros.pl",
29 );
30
31 TEXT(&beginproblem);
32 $showPartialCorrectAnswers = 0; 33 34 35 qa(~~@questions, ~~@answers, 36 37 " $$\displaystyle x=\sin(t);$$ $$\ y = \cos(t)$$", "A", 38 " $$\displaystyle x=-\sin(t);$$ $$\ y = -\cos(t)$$", "B", 39 " $$\displaystyle x=\cos(t);$$ $$\ y = -\sin(t)$$", "C", 40 " $$\displaystyle x=-\cos(t);$$ $$\ y =- \sin(t)$$", "D", 41 " $$\displaystyle x=\cos(2t);$$ $$\ y = \sin(2t)$$", "E", 42 " $$\displaystyle x=\cos{\frac{t}{2}};$$ $$\ y = \sin{\frac{t}{2}}$$", "F" 43 ); 44 45 46 # Now randomize the questions: 47 @slice = &NchooseK(6,5); 48 @shuffle = &shuffle(scalar(@slice)); 49 ($ans1, $ans2,$ans3, $ans4,$ans5)=@answers[@slice] ;
50
51 BEGIN_TEXT
52 Assume time $$t$$ runs from zero to $$2\pi$$ and that the unit circle
53 has been labeled as a clock.
54 $BR$BR
55 Match each of the pairs of parametric equations with the
56 best description of the curve from the following list.  Enter
57 the appropriate letter (A, B, C, D, E, F ) in each blank.
58 $BR 59$BR
60 A. Starts at 12 o'clock and moves clockwise one time around.
61 $BR 62 B. Starts at 6 o'clock and moves clockwise one time around. 63$BR
64 C. Starts at 3 o'clock and moves clockwise one time around.
65 $BR 66 D. Starts at 9 o'clock and moves counterclockwise one time around. 67$BR
68 E. Starts at 3 o'clock and  moves counterclockwise two times around.
69 $BR 70 F. Starts at 3 o'clock and moves counterclockwise to 9 o'clock. 71$BR
72 END_TEXT
73
74 TEXT(EV2(match_questions_list_varbox(5,@questions[@slice])));
75
76 ANS( std_str_cmp($ans1), 77 std_str_cmp($ans2),
78 std_str_cmp($ans3), 79 std_str_cmp($ans4),
80 std_str_cmp(\$ans5));
81
82
83 ENDDOCUMENT();
84