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      <title>Newton-Raphson 2D Goal Seek</title>
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      <div class="title_topic5" id="xps10_pagetitle">Newton-Raphson 2D Goal Seek</div>
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      <p class="para_topic"> Newton-Raphson 2D goal seek is a variation of Newton-Raphson designed to find solutions to cases with two equations and two unknowns.</p>
      <p class="para_topic"> With Options&rarr;Setup Goal Seek set to Newton-Raphson 2D, selecting Tools&rarr;Goal Seek displays the Newton-Raphson 2D Goal Seek dialog. Newton-Raphson 2D requires the following information:</p>
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            <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top" width="35%">
               <p class="para_td"> Variable Cell 1</p>
            </td>
            <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
               <p class="para_td"> The cell location to change.</p>
            </td>
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            <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
               <p class="para_td"> Start Point 1</p>
            </td>
            <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
               <p class="para_td"> The optional initial guess.</p>
            </td>
         </tr>
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            <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
               <p class="para_td"> Target Cell 1</p>
            </td>
            <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
               <p class="para_td"> The cell location for result.</p>
            </td>
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            <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
               <p class="para_td"> Target Value 1</p>
            </td>
            <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
               <p class="para_td"> The desired result</p>
            </td>
         </tr>
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            <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
               <p class="para_td"> Variable Cell 2</p>
            </td>
            <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
               <p class="para_td"> The cell location to change.</p>
            </td>
         </tr>
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            <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
               <p class="para_td"> Start Point 2</p>
            </td>
            <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
               <p class="para_td"> The optional initial guess.</p>
            </td>
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            <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
               <p class="para_td"> Target Cell 2</p>
            </td>
            <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
               <p class="para_td"> The cell location for result.</p>
            </td>
         </tr>
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            <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
               <p class="para_td"> Target Value 2</p>
            </td>
            <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
               <p class="para_td"> The desired result</p>
            </td>
         </tr>
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            <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
               <p class="para_td"> Tolerance</p>
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            <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
               <p class="para_td"> The desired accuracy of convergence.</p>
            </td>
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            <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
               <p class="para_td"> Max Iterations</p>
            </td>
            <td bgcolor="#f4f4f4" colspan="1" rowspan="1" valign="top">
               <p class="para_td"> The number of iterations allowed.</p>
            </td>
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      </table><br><p class="para_topic"></p>
      <p class="para_topic"> Initial start points may again be blank, in which case the current value of the variable cell is used as the initial guess.</p>
      <p class="para_topic"> Newton-Raphson has the standard error conditions, plus the following error conditions:</p>
      <ul>
         <li>
            <p class="para_item"> Floating point error - If the derivative (slope) of either function is zero.</p>
         </li>
         <li>
            <p class="para_item"> Floating point error - Determinate of the Jacobian matrix is zero. (e.g., the target cells are either changing the same amount with either variable - or the two target cells are the same.)</p>
         </li>
      </ul>
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