## DESCRIPTION
##  Calculus: Antiderivatives
## ENDDESCRIPTION

## KEYWORDS ('Antiderivatives')
## Tagged by YL

## DBsubject('Calculus')
## DBchapter('Applications of Differentiation')
## DBsection('Antiderivatives')
## Date('5/29/2005')
## Author('Jeff Holt')
## Institution('UVA')
## TitleText1('Calculus: Early Transcendentals')
## EditionText1('5')
## AuthorText1('Stewart')
## Section1('4.10')
## Problem1('27')

## TitleText2('Calculus: Early Transcendentals')
## EditionText2('6')
## AuthorText2('Stewart')
## Section2('4.9')
## Problem2('')


DOCUMENT();

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

TEXT(beginproblem());
$showPartialCorrectAnswers = 1;

$a = random(20,80,10);
$b = random(10,80,10);

TEXT(EV2(<<EOT));

Find the particular antiderivative that satisfies the following conditions:
$BR
\[
 \frac{dR}{dt} = \frac{$a}{t^2}; \quad R(1) = $b.
\]
$BR
$BR
\( R = \) \{ans_rule(35) \}
$BR

EOT

$ans = "$a + $b - ($a/t)";
ANS(fun_cmp($ans, vars=>"t"));

ENDDOCUMENT();