﻿<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<?application progid="SMath Studio Desktop" version="0.99.7089.34082"?>
<worksheet xmlns="http://smath.info/schemas/worksheet/1.0">
  <settings ppi="96">
    <identity>
      <id>12b470ba-46d6-4510-af5e-03536cb48808</id>
      <revision>4</revision>
    </identity>
    <calculation>
      <precision>4</precision>
      <exponentialThreshold>5</exponentialThreshold>
      <trailingZeros>false</trailingZeros>
      <significantDigitsMode>false</significantDigitsMode>
      <roundingMode>0</roundingMode>
      <fractions>decimal</fractions>
    </calculation>
    <pageModel active="false" viewMode="2" printGrid="false" printAreas="true" simpleEqualsOnly="false" printBackgroundImages="true">
      <paper id="9" orientation="Portrait" width="827" height="1169" />
      <margins left="39" right="39" top="39" bottom="39" />
      <header alignment="Center" color="#a9a9a9">&amp;[DATE] &amp;[TIME] - &amp;[FILENAME]</header>
      <footer alignment="Center" color="#a9a9a9">&amp;[PAGENUM] / &amp;[COUNT]</footer>
      <backgrounds />
    </pageModel>
    <dependencies>
      <assembly name="SMath Studio Desktop" version="0.99.7089.34082" guid="a37cba83-b69c-4c71-9992-55ff666763bd" />
      <assembly name="Math Region" version="0.99.7089.34082" guid="02f1ab51-215b-466e-a74d-5d8b1cf85e8d" />
      <assembly name="SpecialFunctions" version="1.12.7089.34082" guid="2814e667-4e12-48b1-8d51-194e480eabc5" />
      <assembly name="MaximaPlugin" version="1.98.7004.26866" guid="44011c1e-5d0d-4533-8e68-e32b5badce41" />
      <assembly name="TextRegion" version="1.11.7089.34082" guid="485d28c5-349a-48b6-93be-12a35a1c1e39" />
    </dependencies>
  </settings>
  <regions type="content">
    <region id="0" left="0" top="0" width="111" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
      <text lang="por">
        <p>Exemplo 12.2</p>
      </text>
    </region>
    <region id="1" left="9" top="27" width="469" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand" style="string">all</e>
          <e type="function" args="1">MaximaControl</e>
        </input>
        <result action="numeric">
          <e type="operand" style="string">D:\maxima-current\bin\maxima.bat</e>
        </result>
      </math>
    </region>
    <region id="2" left="9" top="45" width="637" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand" style="string">all</e>
          <e type="function" args="1">MaximaTakeover</e>
        </input>
        <result action="symbolic">
          <e type="operand" style="string">diff(), int(), lim(), sum(), det() handled by Maxima</e>
        </result>
      </math>
    </region>
    <region id="3" left="0" top="63" width="60" height="30" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">v.0</e>
          <e type="operand">60</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="4" left="0" top="90" width="127" height="34" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">v</e>
          <e type="function" args="1">a</e>
          <e type="operand">0.4</e>
          <e type="operand">v</e>
          <e type="operand">3</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="1">-</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="5" left="0" top="144" width="52" height="30" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">t.0</e>
          <e type="operand">0</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="6" left="0" top="180" width="52" height="30" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">t.f</e>
          <e type="operand">4</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="7" left="9" top="225" width="140" height="41" color="#000000" bgColor="#ffffff" fontSize="10">
      <math evaluate="false">
        <input>
          <e type="operand">v</e>
          <e type="function" args="1">a</e>
          <e type="operand">v</e>
          <e type="function" args="1">f</e>
          <e type="operator" args="2">:</e>
          <e type="bracket">(</e>
          <e type="operand">dv</e>
          <e type="operand">dt</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="8" left="9" top="270" width="85" height="43" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">dt</e>
          <e type="operand">dv</e>
          <e type="operand">v</e>
          <e type="function" args="1">a</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="9" left="0" top="306" width="169" height="75" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <description active="true" position="Top" lang="por">
          <p>Analitical expression for velocity</p>
        </description>
        <input>
          <e type="operand">t</e>
          <e type="function" args="1">v</e>
          <e type="operand">1</e>
          <e type="operand">1</e>
          <e type="operand">v.0</e>
          <e type="operand">2</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">/</e>
          <e type="operand">0.8</e>
          <e type="operand">t</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">+</e>
          <e type="operator" args="2">/</e>
          <e type="function" args="1">sqrt</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="10" left="360" top="351" width="28" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">In</e>
        </input>
      </math>
    </region>
    <region id="11" left="0" top="405" width="119" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <description active="true" position="Top" lang="por">
          <p>Velocity for tf</p>
        </description>
        <input>
          <e type="operand">t.f</e>
          <e type="function" args="1">v</e>
        </input>
        <result action="numeric">
          <e type="operand">0.559</e>
        </result>
      </math>
    </region>
    <region id="12" left="0" top="468" width="209" height="33" color="#000000" bgColor="#ffffff" fontSize="10">
      <math optimize="2">
        <description active="true" position="Top" lang="por">
          <p>Position by int via maxima</p>
        </description>
        <input>
          <e type="operand">t</e>
          <e type="function" args="1">s</e>
          <e type="operand">x</e>
          <e type="function" args="1">v</e>
          <e type="operand">x</e>
          <e type="operand">t.0</e>
          <e type="operand">t</e>
          <e type="function" args="4">Int</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="13" left="0" top="522" width="127" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">t.f</e>
          <e type="function" args="1">s</e>
        </input>
        <result action="numeric">
          <e type="operand">4.4307</e>
        </result>
      </math>
    </region>
    <region id="14" left="225" top="522" width="306" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
      <text lang="por">
        <p>Right result (according to the book)</p>
      </text>
    </region>
    <region id="15" left="0" top="567" width="141" height="76" color="#000000" bgColor="#ffffff" fontSize="10">
      <math optimize="2">
        <description active="true" position="Top" lang="por">
          <p>Position by int via maxima</p>
        </description>
        <input>
          <e type="operand">t</e>
          <e type="function" args="1">s</e>
          <e type="operand">x</e>
          <e type="function" args="1">v</e>
          <e type="operand">x</e>
          <e type="operand">t.0</e>
          <e type="operand">t</e>
          <e type="function" args="4">int</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="16" left="0" top="666" width="327" height="45" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">t.f</e>
          <e type="function" args="1">s</e>
        </input>
        <result action="numeric">
          <e type="operand" style="string">t is assumed to be positive.</e>
          <e type="operand">4.4307</e>
          <e type="operand">2</e>
          <e type="operand">1</e>
          <e type="function" args="4">sys</e>
        </result>
      </math>
    </region>
    <region id="17" left="225" top="693" width="306" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
      <text lang="por">
        <p>Right result (according to the book)</p>
      </text>
    </region>
    <region id="18" left="0" top="729" width="135" height="40" color="#ff0000" bgColor="#ffffff" fontSize="10">
      <math>
        <description active="true" position="Top" lang="por">
          <p>Confirmation via another expression...</p>
        </description>
        <input>
          <e type="operand">t</e>
          <e type="function" args="1">k</e>
          <e type="operand">t</e>
          <e type="function" args="1">v</e>
          <e type="operand">t</e>
          <e type="function" args="2">int</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="19" left="153" top="783" width="61" height="24" color="#ff0000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">Wrong</e>
          <e type="operator" args="1">!</e>
        </input>
      </math>
    </region>
    <region id="20" left="0" top="792" width="119" height="26" color="#ff0000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">4</e>
          <e type="function" args="1">k</e>
        </input>
        <result action="numeric">
          <e type="operand">4.4723</e>
        </result>
      </math>
    </region>
    <region id="21" left="0" top="828" width="259" height="62" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <description active="true" position="Top" lang="por">
          <p>Analytical expression for s(t)</p>
        </description>
        <input>
          <e type="operand">x</e>
          <e type="function" args="1">s</e>
          <e type="operand">2</e>
          <e type="operand">0.8</e>
          <e type="operator" args="2">/</e>
          <e type="operand">1</e>
          <e type="operand">v.0</e>
          <e type="operand">2</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">/</e>
          <e type="operand">0.8</e>
          <e type="operand">x</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">+</e>
          <e type="bracket">(</e>
          <e type="function" args="1">sqrt</e>
          <e type="operand">1</e>
          <e type="operand">60</e>
          <e type="operator" args="2">/</e>
          <e type="operator" args="2">-</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">*</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="22" left="0" top="918" width="119" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">4</e>
          <e type="function" args="1">s</e>
        </input>
        <result action="numeric">
          <e type="operand">4.4307</e>
        </result>
      </math>
    </region>
  </regions>
</worksheet>