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279 lines
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HTML
279 lines
11 KiB
HTML
<!doctype html>
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<!-- Mirrored from www.mathsisfun.com/data/grapher-equation.html?func1=x%5E2+y%5E2=9&xmin=-5.000&xmax=5.000&ymin=-3.750&ymax=3.750 by HTTrack Website Copier/3.x [XR&CO'2014], Sat, 29 Oct 2022 01:06:19 GMT -->
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<head>
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<meta charset="UTF-8">
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<!-- #BeginEditable "doctitle" -->
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<title>Equation Grapher</title>
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<meta name="description" content="Plot an Equation where x and y are related somehow, such as 2x + 3y = 5.">
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<div id="hdr"></div>
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<article id="content" role="main">
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<!-- #BeginEditable "Body" -->
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<h1 class="center">Equation Grapher</h1>
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<p class="center"><b><a href="#description">Description</a></b> ::
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<b><a href="#functions">All Functions</a></b></p>
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<p class="center">Enter an <a href="../algebra/definitions.html">Equation</a> using the variables <span class="largest">x</span> and/or <span class="largest">y </span>and an <span class="largest">=</span>, press Go:</p>
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<div class="script" style="height: 570px;">
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../algebra/images/equation-graph.js
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</div>
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<h2><a name="description" id="description"></a>Description</h2>
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<p>It can plot an equation where <span class="large">x</span> and <span class="large">y</span> are <b>related somehow</b> (not just y=...), like these:</p>
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<div class="example">
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<h3>Examples:</h3>
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<ul>
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<li><b>x^2+y^2=9</b> (an <a href="../algebra/circle-equations.html">equation of a circle</a> with a radius of 3)</li>
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<li><b>sin(x)+cos(y)=0.5</b></li>
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<li><b>2x−3y=1</b></li>
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<li><b>cos(x^2)=y</b></li>
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<li><b>(x−3)(x+3)=y^2</b></li>
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<li><b>y=x^2</b></li>
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</ul>
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</div>
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<p>If you don't include an equals sign, it will assume you mean "<b>=0</b>"</p>
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<p class="center80">It has not been well tested, so <b>have fun</b> with it, but <b>don't trust it</b>.</p>
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<p>If it gives you problems, <a href="../contact.html">let me know</a>.</p>
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<p>Note: it may take a few seconds to finish, because it has to do lots of calculations.</p>
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<p>If you just want to graph a function in "y=..." style you may prefer <a href="function-grapher.html">Function Grapher and Calculator</a></p>
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<h2>Zooming</h2>
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<p>Use the zoom slider (to the left zooms in, to the right zooms out).</p>
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<p>To reset the zoom to the original bounds click on the <b>Reset</b> button.</p>
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<h2>Dragging</h2>
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<p>Click-and-drag to move the graph around. If you just click-and-release (without dragging), then the spot you clicked on will be the new center</p>
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<p> </p>
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<p>Note: the plots use <b>computer calculations</b>. Round-off can cause errors or values can be missed completely.</p>
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<h2><a name="functions" id="functions"></a>
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All Functions</h2>
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<h3>Operators</h3>
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<table width="100%" cellpadding="4" border="0">
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<tbody>
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<tr>
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<td width="8%"> </td>
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<th width="10%">+</th>
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<td width="82%">Addition operator</td>
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</tr>
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<tr>
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<td width="8%"> </td>
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<th width="10%">-</th>
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<td width="82%">Subtraction operator</td>
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</tr>
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<tr>
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<td width="8%"> </td>
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<th width="10%">*</th>
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<td width="82%">Multiplication operator</td>
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</tr>
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<tr>
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<td width="8%"> </td>
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<th width="10%">/</th>
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<td width="82%">Division operator</td>
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</tr>
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<tr>
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<td width="8%"> </td>
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<th width="10%">^</th>
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<td width="82%"><a href="../exponent.html">Exponent</a> (Power) operator</td>
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</tr>
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</tbody></table>
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<p> </p>
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<h3>Functions</h3>
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<table width="100%" cellpadding="4" border="0">
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<tbody>
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<tr>
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<td width="8%"> </td>
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<th width="10%"><b>sqrt</b></th>
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<td width="82%">Square Root of a value or expression.</td>
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</tr>
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<tr>
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<td width="8%"> </td>
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<th width="10%"><b>sin</b></th>
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<td width="82%">sine of a value or expression</td>
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</tr>
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<tr>
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<td width="8%"> </td>
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<th width="10%"><b>cos</b></th>
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<td width="82%">cosine of a value or expression</td>
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</tr>
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<tr>
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<td width="8%"> </td>
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<th width="10%"><b>tan</b></th>
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<td width="82%">tangent of a value or expression</td>
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</tr>
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<tr>
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<td width="8%"> </td>
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<th width="10%"><b>asin</b></th>
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<td width="82%">inverse sine (arcsine) of a value or expression</td>
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</tr>
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<tr>
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<td width="8%"> </td>
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<th width="10%"><b>acos</b></th>
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<td width="82%">inverse cosine (arccos) of a value or expression</td>
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</tr>
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<tr>
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<td width="8%"> </td>
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<th width="10%"><b>atan</b></th>
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<td width="82%">inverse tangent (arctangent) of a value or expression</td>
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</tr>
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<tr>
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<td width="8%"> </td>
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<th width="10%"><b>sinh</b></th>
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<td width="82%"><a href="../sets/function-hyperbolic.html">Hyperbolic</a> sine (sinh) of a value or expression</td>
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</tr>
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<tr>
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<td width="8%"> </td>
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<th width="10%"><b>cosh</b></th>
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<td width="82%">Hyperbolic cosine (cosh) of a value or expression</td>
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</tr>
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<tr>
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<td width="8%"> </td>
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<th width="10%"><b>tanh</b></th>
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<td width="82%">Hyperbolic tangent (tanh) of a value or expression</td>
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</tr>
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<tr>
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<td width="8%"> </td>
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<th width="10%"><b>exp</b></th>
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<td width="82%"> e (the Euler Constant) raised to the power of a value or expression</td>
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</tr>
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<tr>
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<td width="8%"> </td>
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<th width="10%"><b>ln</b></th>
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<td width="82%">The natural logarithm of a value or expression</td>
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</tr>
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<tr>
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<td width="8%"> </td>
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<th width="10%"><b>log</b></th>
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<td width="82%">The base−10 logarithm of a value or expression</td>
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</tr>
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<tr>
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<td width="8%"> </td>
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<th width="10%">floor</th>
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<td width="82%">Returns the largest (closest to positive infinity) value that is not greater than the argument and is equal to a mathematical integer.</td>
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</tr>
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<tr>
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<td width="8%"> </td>
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<th width="10%">ceil</th>
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<td width="82%">Returns the smallest (closest to negative infinity) value that is not less than the argument and is equal to a mathematical integer.</td>
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</tr>
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<tr>
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<td> </td>
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<th>round</th>
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<td>Round to the nearest integer. Examples: round(−2.5) = −2, round(-0.1) = 0, round(0.1) = 0, round(2.5) = 3</td>
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</tr>
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<tr>
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<td width="8%"> </td>
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<th width="10%">abs</th>
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<td width="82%">Absolute value (distance from zero) of a value or expression</td>
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</tr>
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<tr>
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<td width="8%"> </td>
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<th width="10%">sign</th>
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<td width="82%">Sign (+1 or −1) of a value or expression</td>
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</tr>
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<tr>
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<td width="8%"> </td>
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<th width="10%"> </th>
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<td width="82%"> </td>
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</tr>
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</tbody></table>
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<h3>Constants</h3>
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<table width="100%" cellpadding="4" border="0">
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<tbody>
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<tr>
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<td width="8%"> </td>
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<th width="10%">pi</th>
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<td width="82%">The constant <a href="../numbers/pi.html"><span class="times">π</span></a> (3.141592654...) </td>
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</tr>
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<tr>
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<td width="8%"> </td>
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<th width="10%">e</th>
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<td width="82%"><a href="../numbers/e-eulers-number.html">Euler's number</a> (2.71828...), the base for the natural logarithm</td>
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</tr>
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</tbody></table><p> </p>
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<div class="related">
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<a href="function-grapher.html">Function Grapher</a>
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<a href="graphs-index.html">Graphs Index</a>
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</div>
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<!-- #EndEditable -->
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<div id="copyrt">Copyright © 2022 Rod Pierce</div>
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<!-- Mirrored from www.mathsisfun.com/data/grapher-equation.html?func1=x%5E2+y%5E2=9&xmin=-5.000&xmax=5.000&ymin=-3.750&ymax=3.750 by HTTrack Website Copier/3.x [XR&CO'2014], Sat, 29 Oct 2022 01:06:19 GMT -->
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