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Merged
gajennings merged 1 commit into from
Dec 31, 2025
Merged

alt text and long description in Michigan/Chap4Sec7/Q01 #1375

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22 changes: 10 additions & 12 deletions OpenProblemLibrary/Michigan/Chap4Sec7/Q01.pg
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Original file line number Diff line number Diff line change
Expand Up @@ -89,20 +89,19 @@ $gr2->lb( new Label(2,-0.17,"a","black","top","center") );
foreach my $i ( 0, 1, 2, 3 ) {
if ( $whichf[$i] == 1 ) {
$f[$i] = Compute("x-2");
$desc[$i] = "a COL line with positive slope passing through (a,0)";
$desc[$i] = "a COL line with positive slope passing through \((a,0)\)";
} elsif ( $whichf[$i] == 2 ) {
$f[$i] = Compute("2-x");
$desc[$i] = "a COL line with negative slope passing through (a,0)";
$desc[$i] = "a COL line with negative slope passing through \((a,0)\)";
} elsif ( $whichf[$i] == 3 ) {
$f[$i] = Compute("4-2*x");
$desc[$i] = "a COL line with a large negative slope passing through " .
"(a,0)";
$desc[$i] = "a COL line with a large negative slope passing through \((a,0)\)";
} elsif ( $whichf[$i] == 4 ) {
$f[$i] = Compute("(x-2)^2");
$desc[$i] = "a COL parabola opening upward with vertex (a,0)";
$desc[$i] = "a COL parabola opening upward with vertex \((a,0)\)";
} else {
$f[$i] = Compute("-(x-2)^2");
$desc[$i] = "a COL parabola opening downward with vertex (a,0)";
$desc[$i] = "a COL parabola opening downward with vertex \((a,0)\)";
}
$df[$i] = $f[$i]->D();
$d2f[$i] = $df[$i]->D();
Expand Down Expand Up @@ -163,10 +162,10 @@ as the black curve.
$PAR
$BCENTER
\{ begintable(2) \}
\{ row( image( insertGraph( $gr1 ), height=>250, width=>250, tex_size=>250,
extra_html_tags=>'alt="' . $grDesc[0] . '"' ),
image( insertGraph( $gr2 ), height=>250, width=>250, tex_size=>250,
extra_html_tags=>'alt="' . $grDesc[1] . '"' ) ) \}
\{ row( image( insertGraph( $gr1 ), height=>250, width=>250, tex_size=>250,alt=>"Graph of two functions with value 0 when x=a",
long_description=>"$grDesc[0]" ),
image( insertGraph( $gr2 ), height=>250, width=>250, tex_size=>250,alt=>"Graph of two functions with value 0 when x=a",
long_description=>"$grDesc[1]" ) ) \}
\{ row( "\(\displaystyle \lim_{x\to a}\,\frac{f(x)}{g(x)} =\)" .
$lim[0]->menu(),
"\(\displaystyle \lim_{x\to a}\,\frac{f(x)}{g(x)} =\)" .
Expand All @@ -181,8 +180,7 @@ ANS( $lim[0]->cmp() );
ANS( $lim[1]->cmp() );

Context()->texStrings;
SOLUTION(EV3(<<'END_SOLUTION'));
$PAR SOLUTION $PAR
BEGIN_SOLUTION

In either case, we use l'Hopital's rule,
\[ \lim_{x\to a} \frac{f(x)}{g(x)} = \frac{f'(a)}{g'(a)}. \]
Expand Down