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<quiz>
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 <question type="category"><category><text>Pre-Calc/Chapter 8:  Analytic Geometry in Two- and Three-Dimensions/8.1 Conic Sections and Parabolas/8.1.6 Solve Apps:  Parabolas</text></category></question>
 
 <!-- resourceid-resourcedataid: 6114-5523 -->
 <question type="shortanswerwiris">
    <name>
      <text>Parabolic Focus</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<p>A radio telescope has a parabolic surface.  If it is #a m deep and 12 m wide, how far is the focus from the vertex? <em><strong> (round to tenths)</strong></em></p>]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
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    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <usecase>0</usecase>
    <answer fraction="100" format="moodle_auto_format">
      <text><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>ns</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></text>
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        <text></text>
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    </answer>
    <wirisquestion>
&lt;question&gt;&lt;wirisCasSession&gt;&lt;![CDATA[&lt;session lang="en" version="2.0"&gt;&lt;library closed="false"&gt;&lt;mtext style="color:#ffc800" xml:lang="en"&gt;variables&lt;/mtext&gt;&lt;group&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns="http://www.w3.org/1998/Math/MathML"&gt;&lt;mi&gt;a&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mi&gt;random&lt;/mi&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mn&gt;8&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;10&lt;/mn&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;command&gt;&lt;input&gt;&lt;math xmlns="http://www.w3.org/1998/Math/MathML"&gt;&lt;mi&gt;answer&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;mn&gt;36&lt;/mn&gt;&lt;mo&gt;.&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;mo&gt;*&lt;/mo&gt;&lt;mi&gt;a&lt;/mi&gt;&lt;/mrow&gt;&lt;/mfrac&gt;&lt;/math&gt;&lt;/input&gt;&lt;/command&gt;&lt;/group&gt;&lt;/library&gt;&lt;/session&gt;]]&gt;&lt;/wirisCasSession&gt;&lt;correctAnswers&gt;&lt;correctAnswer type="mathml"&gt;&lt;![CDATA[&lt;math xmlns="http://www.w3.org/1998/Math/MathML"&gt;&lt;mo&gt;#&lt;/mo&gt;&lt;mi&gt;a&lt;/mi&gt;&lt;mi&gt;ns&lt;/mi&gt;&lt;mi&gt;w&lt;/mi&gt;&lt;mi mathvariant="normal"&gt;e&lt;/mi&gt;&lt;mi&gt;r&lt;/mi&gt;&lt;/math&gt;]]&gt;&lt;/correctAnswer&gt;&lt;correctAnswer id="1"&gt;&lt;/correctAnswer&gt;&lt;/correctAnswers&gt;&lt;assertions&gt;&lt;assertion name="syntax_quantity"&gt;&lt;param name="units"&gt;&lt;![CDATA[m, s, g, sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]&gt;&lt;/param&gt;&lt;param name="unitprefixes"&gt;M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y&lt;/param&gt;&lt;/assertion&gt;&lt;assertion name="equivalent_symbolic"/&gt;&lt;/assertions&gt;&lt;options&gt;&lt;option name="tolerance"&gt;10^(-1)&lt;/option&gt;&lt;option name="relative_tolerance"&gt;false&lt;/option&gt;&lt;option name="precision"&gt;4&lt;/option&gt;&lt;option name="implicit_times_operator"&gt;false&lt;/option&gt;&lt;option name="times_operator"&gt;·&lt;/option&gt;&lt;option name="imaginary_unit"&gt;i&lt;/option&gt;&lt;/options&gt;&lt;localData&gt;&lt;data name="inputField"&gt;inlineEditor&lt;/data&gt;&lt;data name="gradeCompound"&gt;and&lt;/data&gt;&lt;data name="gradeCompoundDistribution"&gt;&lt;/data&gt;&lt;data name="casSession"&gt;null&lt;/data&gt;&lt;/localData&gt;&lt;/question&gt;    </wirisquestion>
  </question>
 
 <!-- resourceid-resourcedataid: 6116-5525 -->
 <question type="multichoice">
    <name>
      <text>Solve the problem. 20 m 1 mA radio telescope has a parabolic surface.  If it ...</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<b>Solve the problem.<br/><br/></b><br/><br/> <b><b>20</b> m</b><br/> <b><b>1</b> m</b><br/><br/><br/>A radio telescope has a parabolic surface.  If it is 1 m deep and 20 m wide, how far is the focus from the vertex?]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <single>true</single>
    <shuffleanswers>true</shuffleanswers>
    <answernumbering>abc</answernumbering>
    <correctfeedback format="html">
      <text></text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text></text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text></text>
    </incorrectfeedback>
    <answer fraction="0" format="html">
      <text>5 m</text>
      <feedback format="html">
        <text>Incorrect</text>
      </feedback>
    </answer>
    <answer fraction="0" format="html">
      <text>100 m</text>
      <feedback format="html">
        <text>Incorrect</text>
      </feedback>
    </answer>
    <answer fraction="0" format="html">
      <text>1 m</text>
      <feedback format="html">
        <text>Incorrect</text>
      </feedback>
    </answer>
    <answer fraction="100" format="html">
      <text>25 m</text>
      <feedback format="html">
        <text>Correct</text>
      </feedback>
    </answer>
  </question>
 
 <!-- resourceid-resourcedataid: 6117-5526 -->
 <question type="multichoice">
    <name>
      <text>Solve the problem. 39 m  10 mA tunnel is in the shape of a parabola. The ...</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<b>Solve the problem.<br/><br/></b><br/><br/><br/> <b><sub><b><sub>39</sub></b> m</sub> </b><br/><br/><b> <sup><b><sup>10</sup></b> m</sup></b><br/>A tunnel is in the shape of a parabola. The maximum height is 39 m and it is 10 m wide at the base.  What is the vertical clearance 4 m from the edge of the tunnel?]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <single>true</single>
    <shuffleanswers>true</shuffleanswers>
    <answernumbering>abc</answernumbering>
    <correctfeedback format="html">
      <text></text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text></text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text></text>
    </incorrectfeedback>
    <answer fraction="0" format="html">
      <text>1.6 m</text>
      <feedback format="html">
        <text>Incorrect</text>
      </feedback>
    </answer>
    <answer fraction="100" format="html">
      <text>37.4 m</text>
      <feedback format="html">
        <text>Correct</text>
      </feedback>
    </answer>
    <answer fraction="0" format="html">
      <text>2.3 m</text>
      <feedback format="html">
        <text>Incorrect</text>
      </feedback>
    </answer>
    <answer fraction="0" format="html">
      <text>36.7 m</text>
      <feedback format="html">
        <text>Incorrect</text>
      </feedback>
    </answer>
  </question>
 
 <!-- resourceid-resourcedataid: 6118-5527 -->
 <question type="multichoice">
    <name>
      <text>Solve the problem. 58 ft 28 ftA building has an entry the shape of a ...</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<b>Solve the problem.<br/><br/></b><br/><br/><br/> <b><sup><b><sup>58</sup></b> ft</sup></b><br/> <b><sub><sup><b><sub><sup>28</sup></sub></b> ft<br/><br/></sup></sub></b>A building has an entry the shape of a parabolic arch 58 ft high and 28 ft wide at the base. Find an equation for the parabola if the vertex is put at the origin of the coordinate system.]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <single>true</single>
    <shuffleanswers>true</shuffleanswers>
    <answernumbering>abc</answernumbering>
    <correctfeedback format="html">
      <text></text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text></text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text></text>
    </incorrectfeedback>
    <answer fraction="0" format="html">
      <text><![CDATA[y<sup>2</sup> = -13.5x]]></text>
      <feedback format="html">
        <text>Incorrect</text>
      </feedback>
    </answer>
    <answer fraction="100" format="html">
      <text><![CDATA[x<sup>2</sup> = -3.4y]]></text>
      <feedback format="html">
        <text>Correct</text>
      </feedback>
    </answer>
    <answer fraction="0" format="html">
      <text><![CDATA[y<sup>2</sup> = -3.4x]]></text>
      <feedback format="html">
        <text>Incorrect</text>
      </feedback>
    </answer>
    <answer fraction="0" format="html">
      <text><![CDATA[x<sup>2</sup> = -13.5y]]></text>
      <feedback format="html">
        <text>Incorrect</text>
      </feedback>
    </answer>
  </question>
 
 <!-- resourceid-resourcedataid: 6115-5524 -->
 <question type="multichoice">
    <name>
      <text>Solve the problem.A domed ceiling is a parabolic surface.  For the best ...</text>
    </name>
    <questiontext format="html">
      <text><![CDATA[<b>Solve the problem.<br/><br/></b>A domed ceiling is a parabolic surface.  For the best lighting on the floor, a light source is to be placed at the focus of the surface.  If 3 m down from the top of the dome the ceiling is 18 m wide, find the best location for the light source.]]></text>
    </questiontext>
    <generalfeedback format="html">
      <text></text>
    </generalfeedback>
    <defaultgrade>1.0000000</defaultgrade>
    <penalty>0.3333333</penalty>
    <hidden>0</hidden>
    <single>true</single>
    <shuffleanswers>true</shuffleanswers>
    <answernumbering>abc</answernumbering>
    <correctfeedback format="html">
      <text></text>
    </correctfeedback>
    <partiallycorrectfeedback format="html">
      <text></text>
    </partiallycorrectfeedback>
    <incorrectfeedback format="html">
      <text></text>
    </incorrectfeedback>
    <answer fraction="100" format="html">
      <text>6.8 m down from the top</text>
      <feedback format="html">
        <text>Correct</text>
      </feedback>
    </answer>
    <answer fraction="0" format="html">
      <text>20.4 m down from the top</text>
      <feedback format="html">
        <text>Incorrect</text>
      </feedback>
    </answer>
    <answer fraction="0" format="html">
      <text>13.6 m down from the top</text>
      <feedback format="html">
        <text>Incorrect</text>
      </feedback>
    </answer>
    <answer fraction="0" format="html">
      <text>27 m down from the top</text>
      <feedback format="html">
        <text>Incorrect</text>
      </feedback>
    </answer>
  </question>
 </quiz>
