Implement Errata Rcv'd June-Aug (Precal, A&T)

modules/m49314/index.cnxml

@@ -1121,7 +1121,7 @@ such that the distance between <m:math>
          </entry>
          <entry align="center"> <m:math>
           <m:mrow>
-           <m:mi>f</m:mi><m:mo stretchy="false">(</m:mo><m:mi>x</m:mi><m:mo stretchy="false">)</m:mo></m:mrow>
+           <m:mi>x</m:mi></m:mrow>
          </m:math>
          </entry>
          <entry align="center" namest="c3" nameend="c4"> <m:math>

modules/m49363/index.cnxml

@@ -2349,9 +2349,9 @@ We can solve and evaluate logarithmic equations by using the technique of conver
 <section id="fs-id1165137405741">
 <title>Using Natural Logarithms</title>
 <para id="fs-id1165137661970">The most frequently used base for logarithms is <m:math>
-<m:mrow><m:mi>e</m:mi><m:mo>.</m:mo>
+<m:mrow><m:mi>e</m:mi><m:mo>,</m:mo>
 </m:mrow>
-</m:math> Base <m:math>
+</m:math>  the value of which is approximately <m:math><m:mn>2.71828</m:mn></m:math>. Base <m:math>
 <m:mrow><m:mi>e</m:mi>
 </m:mrow>
 </m:math> logarithms are important in calculus and some scientific applications; they are called <emphasis effect="bold">natural logarithms</emphasis>. The base <m:math>

modules/m51239/index.cnxml

@@ -445,7 +445,7 @@ Share your autobiographies with your study group members. This helps to create a
      </m:mrow><m:mo>|</m:mo></m:mrow><m:mi>m</m:mi><m:mspace width="0.5em"/><m:mtext>and </m:mtext><m:mi>n</m:mi><m:mspace width="0.5em"/><m:mtext>are integers and </m:mtext><m:mi>n</m:mi><m:mo>≠</m:mo><m:mn>0</m:mn>
     </m:mrow> <m:mo>}</m:mo></m:mrow><m:mo>.</m:mo>   </m:mrow>
   </m:math> Notice from the definition that rational numbers are fractions (or quotients) containing integers in both the numerator and the denominator, and the denominator is never 0. We can also see that every natural number, whole number, and integer is a rational number with a denominator of 1.</para>
-  <para id="fs-id1841571">Because they are fractions, any rational number can also be expressed in decimal form. Any rational number can be represented as either:</para>
+  <para id="fs-id1841571">Because they are fractions, any rational number can also be expressed as a terminating or repeating decimal. Any rational number can be represented as either:</para>
   	<list id="fs-id1598139" list-type="enumerated" number-style="arabic" class="circled">
   <item><span class="token">ⓐ</span>a terminating decimal: <m:math>
    <m:mrow>
@@ -930,7 +930,13 @@ Share your autobiographies with your study group members. This helps to create a
      </m:mrow>
     </m:msqrt>
        </m:mrow>
-  </m:math> is irrational and cannot be simplified any further.</item>
+  </m:math> because 11 is not a perfect square and <m:math>
+    <m:mrow>
+     <m:msqrt>
+      <m:mrow>
+       <m:mn>11</m:mn>
+      </m:mrow>
+     </m:msqrt></m:mrow></m:math> cannot be expressed as a fraction.</item>
   <item><span class="token">ⓓ</span> <m:math>
    <m:mrow>
     <m:mfrac>
@@ -2263,7 +2269,7 @@ Share your autobiographies with your study group members. This helps to create a
   <item><span class="token">ⓐ</span>10</item>
   <item><span class="token">ⓑ</span>2</item>
   <item><span class="token">ⓒ</span>4.5</item>
-  <item><span class="token">ⓓ</span>29</item>
+  <item><span class="token">ⓓ</span>25</item>
   <item><span class="token">ⓔ</span>26</item>
   </list>
   </solution>
@@ -3280,7 +3286,7 @@ Share your autobiographies with your study group members. This helps to create a
     <m:mo>,</m:mo>
    </m:mrow>
   </m:math> commutative property of addition, associative property of addition, inverse property of addition, identity property of addition;</item>
-  <item><span class="token">ⓔ</span>0, distributive property, inverse property of addition, identity property of addition</item>
+  <item><span class="token">ⓔ</span>0, distributive property, inverse property of addition</item>
   </list>
   </solution>
   </exercise>

modules/m51246/index.cnxml

@@ -799,7 +799,7 @@ Think about what you would like to achieve in your classes this term and how a g
 <m:mn>3</m:mn>
 </m:msup>
 
-<m:mo>+</m:mo><m:mn>2</m:mn><m:msup><m:mi>x</m:mi><m:mn>3</m:mn></m:msup><m:mo>−</m:mo><m:mn>2</m:mn>
+<m:mo>+</m:mo><m:mn>2</m:mn><m:msup><m:mi>x</m:mi><m:mn>3</m:mn></m:msup><m:mo>-</m:mo><m:mn>3</m:mn><m:mi>x</m:mi><m:mo>−</m:mo><m:mn>2</m:mn>
 </m:mrow>
 </m:mtd>
  <m:mtd columnalign="left">

modules/m51284/index.cnxml

@@ -2819,7 +2819,7 @@ Mt. Everest, which straddles the border between China and Nepal, is the tallest
 </para></problem>
     <solution id="fs-id1714555"><para id="fs-id1714556"> <m:math>
       <m:mrow>
-        <m:mi>a</m:mi><m:mo>=</m:mo><m:mn>10,000</m:mn><m:mo>,</m:mo><m:mi>c</m:mi><m:mo>=</m:mo><m:mn>10,00.5</m:mn>
+        <m:mi>a</m:mi><m:mo>=</m:mo><m:mn>10,000</m:mn><m:mo>,</m:mo><m:mi>c</m:mi><m:mo>=</m:mo><m:mn>10,000.5</m:mn>
       </m:mrow>
     </m:math>
     </para></solution>