Technical fixes

project.ptx

@@ -27,9 +27,9 @@
     <target name="apex-print-video" format="pdf" latex-engine="xelatex" latex-source="yes" source="apex.ptx"
             publication="publication-print-video.ptx" xsl="apex-latex-print-style.xsl" output-filename="apex-print-video.pdf"/>
     <target name="apex-color-print" format="pdf" latex-engine="xelatex" latex-source="yes" source="apex.ptx"
-            publication="publication-color-print.ptx" xsl="apex-latex-print-style.xsl" output-filename="apex-print.pdf"/>
+            publication="publication-color-print.ptx" xsl="apex-latex-print-color.xsl" output-filename="apex-color-print.pdf"/>
     <target name="apex-color-print-video" format="pdf" latex-engine="xelatex" latex-source="yes" source="apex.ptx"
-            publication="publication-color-print-video.ptx" xsl="apex-latex-print-style.xsl" output-filename="apex-print-video.pdf"/>
+            publication="publication-color-print-video.ptx" xsl="apex-latex-print-color.xsl" output-filename="apex-color-print-video.pdf"/>
     <target name="apex-standard-pdf" format="pdf" latex-engine="xelatex" latex-source="yes" source="apex-UL-standard.ptx"
             publication="publication-standard.ptx" xsl="apex-latex-style.xsl" output-filename="apex-standard.pdf"/>
     <target name="apex-standard-print" format="pdf" latex-engine="xelatex" latex-source="yes" source="apex-UL-standard.ptx"

ptx/appendix_back_reference.ptx

@@ -1393,7 +1393,7 @@
         <col width="19%"/>
         <col width="19%"/>
         <col width="22%"/>
-        <row bottom="minor">
+        <row bottom="minor" header="yes">
           <cell>Test</cell>
           <cell>Series</cell>
           <cell><p>Condition(s) of Convergence</p></cell>

ptx/chapter_limits.ptx

@@ -28,7 +28,6 @@
   <xi:include href="sec_limit_infty.ptx"/>
 
   <conclusion>
-    <title>Chapter Summary</title>
     <p>
       In this chapter we:
       <ul>

ptx/review-exercises-limits.ptx

@@ -272,7 +272,7 @@
               For a numerical approximation, make a table:
             </p>
             <tabular>
-              <row bottom="minor">
+              <row bottom="minor" header="yes">
                 <cell><m>x</m></cell>
                 <cell><m>
                   <var name="$f"/>

ptx/sec_FTC.ptx

@@ -129,7 +129,7 @@
           <m>x \geq 1</m> is given by <m>A(x)=\frac12 (x)(2x)-\frac12 (1)(2)=x^2-1</m>.
         </p>
 
-        <figure xml:id="fig_ftc1b" vshift="-2">
+        <figure xml:id="fig_ftc1b" vshift="-1">
           <caption>The area of the shaded region is <m>F(x) = \int_1^x 2t\, dt</m></caption>
           <image width="47%">
             <shortdescription>

ptx/sec_Graphical_Numerical.ptx

@@ -190,12 +190,11 @@
 
         <p label="vspace-plz"><m/></p>
 
-        <sidebyside width="50%">
-          <interactive xml:id="interactive-drag-ic" platform="jsxgraph" source="code/jsxgraph/initial-condition.js">
-            <slate xml:id="interactive-drag-ic-slate" surface="jsxboard"/>
-          </interactive>
-        </sidebyside>
-
+
+        <interactive xml:id="interactive-drag-ic" platform="jsxgraph" source="code/jsxgraph/initial-condition.js" width="50%">
+          <slate xml:id="interactive-drag-ic-slate" surface="jsxboard"/>
+        </interactive>
+
         <p>Adjust the initial condition in this interactive figure to answer the following.</p>
 
       </introduction>
@@ -1073,7 +1072,7 @@
           <caption>Slope field for the logistic differential equation <m>\yp = y(1-y)</m> from <xref ref="ex_logistic_slope_field"/></caption>
           <image width="47%">
             <shortdescription>
-              Graph of slope field for the logistic differential equation y’=y(1-y) from the example.
+              Graph of slope field for the logistic differential equation y'=y(1-y) from the example.
             </shortdescription>
             <description>
               <p>
@@ -1161,7 +1160,7 @@
           with a few representative solution curves</caption>
           <image width="47%">
             <shortdescription>
-              Graph of slope field for the logistic differential equation y’=y(1-y) with representative solution curves.
+              Graph of slope field for the logistic differential equation y'=y(1-y) with representative solution curves.
             </shortdescription>
             <description>
               <p>

ptx/sec_Modeling.ptx

@@ -42,7 +42,7 @@
           \draw [firstcolor] (-1.5,0) node [text width=60pt,align=center] (a) { \centering The rate of change of the population};
           \draw [firstcolor,->] (a) -- (.3,.7);
 
-          \draw [firstcolor] (2,.25) node [text width=60pt,align=center] (b) { \centering the population.};
+          \draw [firstcolor] (2,0) node [text width=60pt,align=center] (b) { \centering the\\ population.};
           \draw [firstcolor,->] (b) -- (1.6,.8);
 
           \draw [firstcolor] (.5,2) node [text width=32pt,align=center] (c) { \centering is};

ptx/sec_arc_length.ptx

@@ -508,7 +508,7 @@
         <figure xml:id="fig_arc3" vshift="-1">
           <caption>A table of values of <m>y=\sqrt{1+\cos^2(x) }</m> to evaluate a definite integral in <xref ref="ex_arc3"/></caption>
           <tabular>
-            <row bottom="minor">
+            <row bottom="minor" header="yes">
               <cell><m>x</m></cell><cell><m>\sqrt{1+\cos^2(x) }</m></cell>
             </row>
             <row>

ptx/sec_conic_sections.ptx

@@ -1509,7 +1509,7 @@
         <col width="33%"/>
         <col width="5%"/>
         <col width="33%"/>
-        <row>
+        <row header="yes">
           <cell><p>Horizontal Transverse Axis</p></cell><cell/><cell>Vertical Transverse Axis</cell>
         </row>
         <row>
@@ -3324,7 +3324,7 @@
               </p>
 
               <tabular>
-                <row bottom="minor">
+                <row bottom="minor" header="yes">
                   <cell>Planet</cell>
                   <cell><line>Distance from</line><line>center to vertex</line></cell>
                   <cell><line>Orbit</line><line>eccentricity</line></cell>

ptx/sec_curvature.ptx

@@ -1071,7 +1071,7 @@
           <tabular>
             <!-- <col width="45%"/>
             <col width="45%"/> -->
-            <row bottom="minor">
+            <row bottom="minor" header="yes">
               <cell><line>Operating</line><line>Speed (mph)</line></cell>
               <cell><line>Minimum</line><line>Radius (ft)</line></cell>
             </row>

ptx/sec_deriv_intro.ptx

@@ -130,7 +130,7 @@
     <figure xml:id="table_falling" vshift="0">
       <caption>Approximating the instantaneous velocity with average velocities over a small time period <m>h</m></caption>
       <tabular>
-        <row bottom="medium">
+        <row bottom="medium" header="yes">
           <cell><m>h</m></cell>
           <cell>Average Velocity (<quantity><mag/><unit base="foot"/><per base="second"/></quantity>)</cell>
         </row>

ptx/sec_deriv_inverse_function.ptx

@@ -180,7 +180,7 @@
   <table xml:id="table_fandfinv">
     <title/>
     <tabular>
-      <row bottom="medium">
+      <row bottom="medium" header="yes">
         <cell>Information about <m>f</m></cell>
         <cell>Information about <m>g=f^{-1}</m></cell>
       </row>
@@ -585,7 +585,7 @@
   <table xml:id="tab_domain_trig">
     <title>Domains and ranges of the trigonometric and inverse trigonometric functions</title>
     <tabular>
-      <row bottom="medium">
+      <row bottom="medium" header="yes">
         <cell>Function</cell>
         <cell>Domain</cell>
         <cell>Range</cell>

ptx/sec_differentials.ptx

@@ -157,19 +157,19 @@
     <choices randomize="yes">
       <choice correct="yes">
         <statement><p><m>\ell(x)</m> closely resembles the curve near <m>(x_0,f(x_0))</m>.</p></statement>
-        <feedback><p>Correct—the tangent line shares the same instantaneous rate of change, so it hugs the curve nearby.</p></feedback>
+        <feedback><p>Correct<ndash/>the tangent line shares the same instantaneous rate of change, so it hugs the curve nearby.</p></feedback>
       </choice>
       <choice>
         <statement><p><m>\ell(x)</m> closely resembles the graph of <m>f(x)</m> for any <m>x</m>.</p></statement>
-        <feedback><p>Not true—tangent lines only approximate well near a given point (<ie/>, locally), not globally.</p></feedback>
+        <feedback><p>Not true<ndash/>tangent lines only approximate well near a given point (<ie/>, locally), not globally.</p></feedback>
       </choice>
       <choice>
         <statement><p><m>\ell(x)</m> exactly matches the curve near <m>(x_0,f(x_0))</m>.</p></statement>
-        <feedback><p>Not true—tangent lines only approximate well near a given point.</p></feedback>
+        <feedback><p>Not true<ndash/>tangent lines only approximate well near a given point.</p></feedback>
       </choice>
       <choice>
         <statement><p><m>\ell(x)</m> is the most accurate approximation of <m>f(x)</m> near <m>(x_0,f(x_0))</m>.</p></statement>
-        <feedback><p>Not correct—the error grows as you move away from the tangent point.</p></feedback>
+        <feedback><p>Not correct<ndash/>the error grows as you move away from the tangent point.</p></feedback>
       </choice>
     </choices>
   </exercise>
@@ -326,7 +326,7 @@
       <p>The symbol <m>dy/dx</m> in differential notation is literally a fraction of two quantities, <m>dy</m> and <m>dx</m>.</p>
     </statement>
     <feedback>
-      <p>False — <m>dy/dx</m> is one symbol for the derivative, not an actual fraction. The resemblance to a fraction is helpful but can be misleading.</p>
+      <p>False <ndash/> <m>dy/dx</m> is one symbol for the derivative, not an actual fraction. The resemblance to a fraction is helpful but can be misleading.</p>
     </feedback>
   </exercise>
 

ptx/sec_graph_extreme_values.ptx

@@ -775,7 +775,7 @@
       <figure xml:id="table_ext4" vshift="-1">
         <caption>Finding the extreme values of <m>f(x)= 2x^3+3x^2-12x</m> in <xref ref="ex_extval4"/></caption>
         <tabular>
-          <row bottom="medium">
+          <row bottom="medium" header="yes">
             <cell><m>x</m></cell>
             <cell><m>f(x)</m></cell>
           </row>
@@ -879,7 +879,7 @@
         <figure xml:id="table_ext5">
           <caption>Finding the extreme values of a piecewise-defined function in <xref ref="ex_extval5"/></caption>
           <tabular>
-            <row bottom="medium">
+            <row bottom="medium" header="yes">
               <cell><m>x</m></cell>
               <cell><m>f(x)</m></cell>
             </row>
@@ -983,7 +983,7 @@
         <figure xml:id="table_ext6">
           <caption>Finding the extrema of <m>f(x)= \cos\mathopen{}\left(x^2\right)\mathclose{}</m> in <xref ref="ex_extval6"/></caption>
           <tabular>
-            <row bottom="medium">
+            <row bottom="medium" header="yes">
               <cell><m>x</m></cell>
               <cell><m>f(x)</m></cell>
             </row>
@@ -1094,7 +1094,7 @@
         <figure xml:id="table_ext7">
           <caption>Finding the extrema of the half-circle in <xref ref="ex_extval7"/></caption>
           <tabular>
-            <row bottom="medium">
+            <row bottom="medium" header="yes">
               <cell><m>x</m></cell>
               <cell><m>f(x)</m></cell>
             </row>

ptx/sec_hyperbolic.ptx

@@ -781,7 +781,7 @@
       <title>Domains and ranges of the hyperbolic and inverse hyperbolic functions</title>
 
       <tabular>
-        <row bottom="minor">
+        <row bottom="minor" header="yes">
           <cell>Function</cell>
           <cell>Domain</cell>
           <cell>Range</cell>

ptx/sec_int_comp_tests.ptx

@@ -513,25 +513,26 @@
                 Since the limit on the left side diverges to <m>\infty</m>,
                 we can say that <m>\lim\limits_{n \to \infty}\sum_{i=N}^n b_i</m> also diverges to <m>\infty</m>.
               </p>
+                  <aside vshift="2">
+                    <p>
+                      A sequence <m>\{a_n\}</m> is a <em>positive sequence</em>
+                      if <m>a_n \gt 0</m> for all <m>n</m>.
+                    </p>
+
+                    <p>
+                      Because of <xref ref="thm_series_behavior"/>,
+                      any theorem that relies on a positive sequence still holds true when <m>a_n \gt 0</m> for all but a finite number of values of <m>n</m>.
+                          <idx><h>sequence</h><h>positive</h></idx>
+                    </p>
+                  </aside>
             </li>
           </ol>
         </p>
       </proof>
 
     </theorem>
 
-    <aside vshift="2">
-      <p>
-        A sequence <m>\{a_n\}</m> is a <em>positive sequence</em>
-        if <m>a_n \gt 0</m> for all <m>n</m>.
-      </p>
 
-      <p>
-        Because of <xref ref="thm_series_behavior"/>,
-        any theorem that relies on a positive sequence still holds true when <m>a_n \gt 0</m> for all but a finite number of values of <m>n</m>.
-            <idx><h>sequence</h><h>positive</h></idx>
-      </p>
-    </aside>
 
     <figure xml:id="vid-seqseries-intcomp-comp-test" component="video" vshift="10">
       <caption>Video presentation of <xref ref="thm_series_direct_compare"/></caption>

ptx/sec_lhopitals_rule.ptx

@@ -814,7 +814,7 @@
               </pg-code>
               <statement>
                 <p>
-                  <m>\lim\limits_{x\to 1} \frac{<var name="$fu"/> }{<var name="$fl"/>}</m>
+                  <md>\lim\limits_{x\to 1} \frac{<var name="$fu"/> }{<var name="$fl"/>}</md>
                 </p>
 
                 <p>

ptx/sec_limit_continuity.ptx

@@ -1425,7 +1425,7 @@
         <table xml:id="table_rootfinding">
           <title>Iterations of the Bisection Method of Root Finding</title>
           <tabular>
-            <row>
+            <row header="yes">
               <cell>Iteration #</cell>
               <cell>Interval</cell>
               <cell>Midpoint Sign</cell>
@@ -3274,7 +3274,7 @@
               <instruction>If <m>f(m)\gt 0</m> at the midpoint <m>m</m>, put <m>+</m> for the midpoint sign. If <m>f(m)\lt 0</m>, put <m>-</m> for the midpoint sign.</instruction>
 
               <tabular component="web">
-                <row bottom="minor">
+                <row bottom="minor" header="yes">
                   <cell>Iteration</cell>
                   <cell>Interval</cell>
                   <cell>Midpoint Sign</cell>
@@ -3364,7 +3364,7 @@
               <instruction>If <m>f(m)\gt 0</m> at the midpoint <m>m</m>, put <m>+</m> for the midpoint sign. If <m>f(m)\lt 0</m>, put <m>-</m> for the midpoint sign.</instruction>
 
               <tabular component="web">
-                <row bottom="minor">
+                <row bottom="minor" header="yes">
                   <cell>Iteration</cell>
                   <cell>Interval</cell>
                   <cell>Midpoint Sign</cell>
@@ -3454,7 +3454,7 @@
               <instruction>If <m>f(m)\gt 0</m> at the midpoint <m>m</m>, put <m>+</m> for the midpoint sign. If <m>f(m)\lt 0</m>, put <m>-</m> for the midpoint sign.</instruction>
 
               <tabular component="web">
-                <row bottom="minor">
+                <row bottom="minor" header="yes">
                   <cell>Iteration</cell>
                   <cell>Interval</cell>
                   <cell>Midpoint Sign</cell>
@@ -3544,7 +3544,7 @@
               <instruction>If <m>f(m)\gt 0</m> at the midpoint <m>m</m>, put <m>+</m> for the midpoint sign. If <m>f(m)\lt 0</m>, put <m>-</m> for the midpoint sign.</instruction>
 
               <tabular component="web">
-                <row bottom="minor">
+                <row bottom="minor" header="yes">
                   <cell>Iteration</cell>
                   <cell>Interval</cell>
                   <cell>Midpoint Sign</cell>