## DBsubject('Calculus')
## DBchapter('Differentiation')
## DBsection('Linear Approximation and Differentials')
## KEYWORDS('Differentiation','Product','Quotient')
## TitleText1('Calculus: Early Transcendentals')
## EditionText1('5')
## AuthorText1('Stewart')
## Section1('3.11')
## Problem1('29')
## Author('')
## Institution('UCSB')

DOCUMENT();

loadMacros(
"PG.pl",
"PGbasicmacros.pl",
"PGchoicemacros.pl",
"PGanswermacros.pl",
"PGauxiliaryFunctions.pl"
);

TEXT(&beginproblem);
$showPartialCorrectAnswers = 1;
$a=random(2,10,1);

BEGIN_TEXT

$PAR

Compute (a) \(\Delta y\) and (b) \(\text{dy}\) for the given values of \(x\) and \(\text{dx}=\Delta x\). $BR

\[y=$a -x^2,\qquad x=-2,\qquad \Delta x=.4\]

$PAR
(a) \(\Delta y =\) \{ans_rule(20)\} $BR
(b) \(\text{dy} =\) \{ans_rule(20)\}

END_TEXT

ANS(num_cmp( 1.44 ));
ANS(num_cmp( 1.6 ));

ENDDOCUMENT();