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   <text:h text:style-name="Heading_20_1" text:outline-level="1">Moments of Area Under a Line Segment</text:h>
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        <annotation encoding="StarMath 5.0">y
=
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          <mrow>
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           <mo stretchy="false">+</mo>
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             <mrow>
              <mrow>
               <msub>
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               <msub>
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              </mrow>
             </mrow>
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            </mrow>
            <mrow>
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             <mrow>
              <mrow>
               <msub>
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               <msub>
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              </mrow>
             </mrow>
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           </mfrac>
          </mrow>
         </mrow>
         <mrow>
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          <mrow>
           <mrow>
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          </mrow>
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        </mrow>
        <annotation encoding="StarMath 5.0">y left( x right)
=
y_1
+
left(
y_2 -y_1
right)
over 
left(
x_2 -x_1
right)
left(
x -x_1
right)</annotation>
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   <text:p text:style-name="Standard">Use algebraic manipulator to evaluate intergrals.</text:p>
   <text:h text:style-name="Heading_20_1" text:outline-level="1">Moments of Volume Under a Line Segment of a Face</text:h>
   <text:p text:style-name="Standard">Line is in 3D.</text:p>
   <text:p text:style-name="Standard">The end points are</text:p>
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            <mi>,</mi>
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            </msub>
            <mi>,</mi>
            <msub>
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          <mo fence="true" form="postfix" stretchy="true">)</mo>
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        </mrow>
        <annotation encoding="StarMath 5.0">left(
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~~
left(
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       AQAEAAAAAAAAAHIAAgAXAAAAeA4AAI0BAAABAHqlAAAAAAD//wEAegCMAAEAAAAAAIsAAQAC
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       /wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA/////wCGAAEABAAAAAAAAABy
       AAIAFwAAADEPAAD3AQAAAQAyfwAAAAAA//8BADIAjAABAAAAAACLAAEAAgAAAB8AigABADwA
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       AP8DAAAAAACIAAEAAgAAAAEAhwABAAUAAAD/////AIYAAQAEAAAAAAAAAHIAAgAaAAAA0A8A
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    </draw:frame></text:p>
   <text:p text:style-name="Standard">The surface is</text:p>
   <text:p text:style-name="Standard"><draw:frame draw:style-name="fr1" draw:name="Object10" text:anchor-type="as-char" svg:width="0.7862in" svg:height="0.2102in" draw:z-index="11"><draw:object>
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          <mo fence="true" form="postfix" stretchy="true">)</mo>
         </mrow>
        </mrow>
        <annotation encoding="StarMath 5.0">z
=
z left( x, y right)</annotation>
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     </draw:object><draw:image>
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       AAAAAQCHAAEABQAAAP////8AhgABAAQAAAAAAAAAcgACABcAAABFBQAAjQEAAAEALGoAAAAA
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       AACnAQAAAAAAAAAABQAAAAAAAgD/AwAAAAAAAAAAAP8DAAAAAACIAAEAAgAAAAEAhwABAAUA
       AAD/////AIYAAQAEAAAAAAAAAHIAAgAXAAAAGQYAAI0BAAABAHm6AAAAAAD//wEAeQCMAAEA
       AAAAAIsAAQACAAAAHwCKAAEAPAAAAAMANgAAAAoAT3BlblN5bWJvbAAA2AAAAOwBAAD//wAA
       AAAFAAAAAAAAAP8DAAAAAAAAAAAA/wMAAAAAAIgAAQACAAAAAQCHAAEABQAAAP////8AhgAB
       AAQAAAAAAAAAcgACABoAAAAHBwAApwEAAAEAAAApAGYAAAAAAP//AQApAIwAAQAAAAAAlQAB
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    </draw:frame></text:p>
   <text:p text:style-name="Standard">Projection of curve on xy plane gives</text:p>
   <text:p text:style-name="Standard"><draw:frame draw:style-name="fr1" draw:name="Object5" text:anchor-type="as-char" svg:width="0.6311in" svg:height="0.2102in" draw:z-index="6"><draw:object>
      <math xmlns="http://www.w3.org/1998/Math/MathML" display="block">
       <semantics>
        <mrow>
         <mrow>
          <mi>y</mi>
          <mo stretchy="false">=</mo>
          <mi>y</mi>
         </mrow>
         <mrow>
          <mo fence="true" form="prefix" stretchy="true">(</mo>
          <mrow>
           <mi>x</mi>
          </mrow>
          <mo fence="true" form="postfix" stretchy="true">)</mo>
         </mrow>
        </mrow>
        <annotation encoding="StarMath 5.0">y
=
y left( x right)</annotation>
       </semantics>
      </math>
     </draw:object><draw:image>
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       AAQAAAAAAAAAlgABAAIAAAAJAIsAAQACAAAAHwCKAAEAOwAAAAMANQAAAAkAVGhvcm5kYWxl
       AAAAAAAApwEAAAAAAAAAAAUAAAAAAAIA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcA
       AQAFAAAA/////wCGAAEABAAAAAAAAAByAAIAFwAAAJ8AAACNAQAAAQB5ugAAAAAA//8BAHkA
       jAABAAAAAACLAAEAAgAAAB8AigABADwAAAADADYAAAAKAE9wZW5TeW1ib2wAAAAAAACnAQAA
       //8AAAAABQAAAAAAAAD/AwAAAAAAAAAAAP8DAAAAAACIAAEAAgAAAAEAhwABAAUAAAD/////
       AIYAAQAEAAAAAAAAAHIAAgAaAAAAcgEAAI0BAAABAAAAPQBOAQAAAAD//wEAPQCMAAEAAAAA
       AIsAAQACAAAAHwCKAAEAOwAAAAMANQAAAAkAVGhvcm5kYWxlAAAAAAAApwEAAAAAAAAAAAUA
       AAAAAAIA/wMAAAAAAAAAAAD/AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA/////wCGAAEABAAA
       AAAAAAByAAIAFwAAAP8CAACNAQAAAQB5ugAAAAAA//8BAHkAjAABAAAAAACLAAEAAgAAAB8A
       igABADwAAAADADYAAAAKAE9wZW5TeW1ib2wAANgAAADsAQAA//8AAAAABQAAAAAAAAD/AwAA
       AAAAAAAAAP8DAAAAAACIAAEAAgAAAAEAhwABAAUAAAD/////AIYAAQAEAAAAAAAAAHIAAgAa
       AAAA7QMAAKcBAAABAAAAKABmAAAAAAD//wEAKACMAAEAAAAAAIsAAQACAAAAHwCKAAEAOwAA
       AAMANQAAAAkAVGhvcm5kYWxlAAAAAAAApwEAAAAAAAAAAAUAAAAAAAIA/wMAAAAAAAAAAAD/
       AwAAAAAAiAABAAIAAAABAIcAAQAFAAAA/////wCGAAEABAAAAAAAAAByAAIAFwAAAIwEAACN
       AQAAAQB4ugAAAAAA//8BAHgAjAABAAAAAACLAAEAAgAAAB8AigABADwAAAADADYAAAAKAE9w
       ZW5TeW1ib2wAANgAAADsAQAA//8AAAAABQAAAAAAAAD/AwAAAAAAAAAAAP8DAAAAAACIAAEA
       AgAAAAEAhwABAAUAAAD/////AIYAAQAEAAAAAAAAAHIAAgAaAAAAegUAAKcBAAABAAAAKQBm
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     </draw:image>
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   <text:p text:style-name="Standard">The intergrals to calculate are</text:p>
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+
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right)
left(
x -x_1
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      </office:binary-data>
     </draw:image>
    </draw:frame></text:p>
   <text:p text:style-name="Standard">Use algebraic manipulator to evaluate intergrals.</text:p>
   <text:p text:style-name="Standard"/>
   <text:p text:style-name="Standard"/>
  </office:text>
 </office:body>
</office:document>