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# Annotation of /trunk/NationalProblemLibrary/UCSB/Stewart5_3_11/Stewart5_3_11_29.pg

 1 : apizer 1647 ## DBsubject('Calculus') 2 : ## DBchapter('Differentiation') 3 : ## DBsection('Linear Approximation and Differentials') 4 : ## KEYWORDS('Differentiation','Product','Quotient') 5 : apizer 1674 ## TitleText1('Calculus: Early Transcendentals') 6 : ## EditionText1('5') 7 : apizer 1647 ## AuthorText1('Stewart') 8 : ## Section1('3.11') 9 : ## Problem1('29') 10 : ## Author('') 11 : ## Institution('UCSB') 12 : 13 : DOCUMENT(); 14 : 15 : loadMacros( 16 : "PG.pl", 17 : "PGbasicmacros.pl", 18 : "PGchoicemacros.pl", 19 : "PGanswermacros.pl", 20 : "PGauxiliaryFunctions.pl" 21 : ); 22 : 23 : TEXT(&beginproblem); 24 : $showPartialCorrectAnswers = 1; 25 :$a=random(2,10,1); 26 : 27 : BEGIN_TEXT 28 : 29 : $PAR 30 : 31 : Compute (a) $$\Delta y$$ and (b) $$\text{dy}$$ for the given values of $$x$$ and $$\text{dx}=\Delta x$$.$BR 32 : 33 : $y=a -x^2,\qquad x=-2,\qquad \Delta x=.4$ 34 : 35 : $PAR 36 : (a) $$\Delta y =$$ \{ans_rule(20)\}$BR 37 : (b) $$\text{dy} =$$ \{ans_rule(20)\} 38 : 39 : END_TEXT 40 : 41 : ANS(num_cmp( 1.44 )); 42 : ANS(num_cmp( 1.6 )); 43 : 44 : ENDDOCUMENT();