DenysMedvid/pdf2htmlEX
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mirror of https://github.com/pdf2htmlEX/pdf2htmlEX.git synced 2024-12-22 13:00:08 +00:00
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d6fbbd34a1
pdf2htmlEX/demo/cheat8.page
Lu Wang 2d8df9d647 update demo
2013-09-28 13:30:57 +08:00

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<div class="pd w0 h0"><div id="pf8" class="pf" data-page-no="8"><div class="pc pc8"><img class="bi x0 y0 w1 h1" alt="" 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"/><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls0 ws0">Theoretical<span class="_ _0"> </span>Computer<span class="_ _0"> </span>Science<span class="_ _0"> </span>Cheat<span class="_ _0"> </span>Sheet</div><div class="t m0 x99 h3 y2 ff2 fs0 fc0 sc0 ls0 ws0">Calculus Con<span class="_ _5"></span>t.<span class="_ _87"> </span>Finite Calculus</div><div class="t m0 x1ba h2 y238 ff1 fs0 fc0 sc0 ls0 ws0">62.</div><div class="t m0 x91 h6 y235 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xe2 h3 y8 ff3 fs0 fc0 sc0 ls0 ws0">dx</div><div class="t m0 xe1 h3 y4f5 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 xc6 h4 y238 ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 xc8 h3 y4f5 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x12f h5 y239 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x18f h4 y4f5 ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff3">a</span></div><div class="t m0 xf2 h5 y239 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x18e h3 y238 ff2 fs0 fc0 sc0 ls0 ws0">=</div><div class="t m0 x6 h5 y9 ff5 fs1 fc0 sc0 ls0 ws0">1</div><div class="t m0 x6 h5 y237 ff6 fs1 fc0 sc0 ls0 ws0">a</div><div class="t m0 x13e h3 y238 ff2 fs0 fc0 sc0 ls0 ws0">arccos</div><div class="t m0 x1ae h5 y9 ff6 fs1 fc0 sc0 ls0 ws0">a</div><div class="t m0 x10c h5 y237 ff8 fs1 fc0 sc0 ls0 ws0">|<span class="ff6">x</span>|</div><div class="t m0 xd7 h3 y238 ff3 fs0 fc0 sc0 ls3 ws0">,a<span class="_ _a"></span>&gt;<span class="_ _a"></span><span class="ff2 ls0">0<span class="ff3">,<span class="_ _4b"> </span><span class="ff1">63.</span></span></span></div><div class="t m0 x11b h6 y235 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x1bb h3 y8 ff3 fs0 fc0 sc0 ls0 ws0">dx</div><div class="t m0 x25 h3 y4f5 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x154 h5 y239 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x177 h4 y238 ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 x28 h3 y4f5 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x59 h5 y239 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x29 h4 y4f5 ff4 fs0 fc0 sc0 ls0 ws0">±<span class="_ _8"> </span><span class="ff3">a</span></div><div class="t m0 xaa h5 y239 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x2a h4 y238 ff2 fs0 fc0 sc0 ls0 ws0">=<span class="_ _7"> </span><span class="ff4">∓</span></div><div class="t m0 xab h4 y4f6 ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 x15c h3 y8 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x3c h5 y4f7 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x6a h4 y8 ff4 fs0 fc0 sc0 ls0 ws0">±<span class="_ _8"> </span><span class="ff3">a</span></div><div class="t m0 x139 h5 y4f7 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 xa8 h3 y3e3 ff3 fs0 fc0 sc0 ls0 ws0">a</div><div class="t m0 x75 h5 y4f8 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x3d h3 y3e3 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x152 h3 y238 ff3 fs0 fc0 sc0 ls0 ws0">,</div><div class="t m0 x1ba h2 y4f9 ff1 fs0 fc0 sc0 ls0 ws0">64.</div><div class="t m0 x91 h6 y431 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xfc h3 y4fa ff3 fs0 fc0 sc0 ls4 ws0">xd<span class="_ _1f"></span>x</div><div class="t m0 xe1 h4 y11a ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 x87 h3 y4fb ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 xc8 h5 y23c ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x93 h4 y4fb ff4 fs0 fc0 sc0 ls0 ws0">±<span class="_ _8"> </span><span class="ff3">a</span></div><div class="t m0 x107 h5 y23c ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x131 h3 y4fc ff2 fs0 fc0 sc0 ls0 ws0">=</div><div class="t m0 x1bc h6 y11d ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x94 h3 y4fc ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x8b h5 y2f6 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x8c h4 y4fc ff4 fs0 fc0 sc0 ls0 ws0">±<span class="_ _8"> </span><span class="ff3">a</span></div><div class="t m0 x1a0 h5 y2f6 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x14b h3 y4fc ff3 fs0 fc0 sc0 ls0 ws0">,<span class="_ _85"> </span><span class="ff1">65.</span></div><div class="t m0 xe8 h6 y431 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x16e h4 y4fd ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 xfa h3 y4fe ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x25 h5 y4ff ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 xa h4 y4fe ff4 fs0 fc0 sc0 ls0 ws0">±<span class="_ _8"> </span><span class="ff3">a</span></div><div class="t m0 x9c h5 y4ff ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x57 h3 y23d ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 xa h5 y450 ff5 fs1 fc0 sc0 ls0 ws0">4</div><div class="t m0 x46 h4 y4fc ff3 fs0 fc0 sc0 ls0 ws0">dx<span class="_ _7"> </span><span class="ff2">=<span class="_ _7"> </span><span class="ff4">∓</span></span></div><div class="t m0 x15b h3 y4fe ff2 fs0 fc0 sc0 ls0 ws0">(<span class="ff3">x</span></div><div class="t m0 x3b h5 y23a ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 xf h3 y4fe ff2 fs0 fc0 sc0 ls0 ws0">+<span class="_ _8"> </span><span class="ff3">a</span></div><div class="t m0 x11 h5 y23a ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x10 h3 y4fe ff2 fs0 fc0 sc0 ls0 ws0">)</div><div class="t m0 xaf h5 y23a ff5 fs1 fc0 sc0 ls0 ws0">3<span class="ff6">/</span>2</div><div class="t m0 x2d h3 y23d ff2 fs0 fc0 sc0 ls0 ws0">3<span class="ff3">a</span></div><div class="t m0 xa8 h5 y450 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x75 h3 y23d ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x3d h5 y450 ff5 fs1 fc0 sc0 ls0 ws0">3</div><div class="t m0 x152 h3 y4fc ff3 fs0 fc0 sc0 ls0 ws0">,</div><div class="t m0 x1ba h2 y249 ff1 fs0 fc0 sc0 ls0 ws0">66.</div><div class="t m0 x91 h6 y500 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x93 h3 y13 ff3 fs0 fc0 sc0 ls0 ws0">dx</div><div class="t m0 xe1 h3 y1b ff3 fs0 fc0 sc0 ls0 ws0">ax</div><div class="t m0 xfc h5 y1a ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 xe2 h3 y1b ff2 fs0 fc0 sc0 ls0 ws0">+<span class="_ _8"> </span><span class="ff3">bx<span class="_ _8"> </span></span>+<span class="_ _8"> </span><span class="ff3">c</span></div><div class="t m0 x149 h3 y249 ff2 fs0 fc0 sc0 ls0 ws0">=</div><div class="t m0 x13e h6 y11e ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x13e h6 y12a ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x13e h6 y501 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x13e h6 y502 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x13e h6 y17 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x13e h6 y503 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x13e h6 y1f ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x13e h6 y1e ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x13e h6 y504 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x103 h3 y436 ff2 fs0 fc0 sc0 ls0 ws0">1</div><div class="t m0 x10b h4 y505 ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 x82 h3 y3ae ff3 fs0 fc0 sc0 ls0 ws0">b</div><div class="t m0 xd5 h5 y506 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x103 h4 y3ae ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff2">4<span class="ff3">ac</span></span></div><div class="t m0 x134 h3 y500 ff2 fs0 fc0 sc0 ls0 ws0">ln</div><div class="t m0 x13d h6 y11 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x13d h6 y16 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x13d h6 y433 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x13d h6 y437 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x13d h6 y242 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x1 h4 y436 ff2 fs0 fc0 sc0 ls0 ws0">2<span class="ff3">ax<span class="_ _8"> </span></span>+<span class="_ _8"> </span><span class="ff3">b<span class="_ _8"> </span><span class="ff4">−</span></span></div><div class="t m0 xdc h4 y507 ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 xdb h3 y436 ff3 fs0 fc0 sc0 ls0 ws0">b</div><div class="t m0 x151 h5 y508 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x153 h4 y436 ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff2">4<span class="ff3">ac</span></span></div><div class="t m0 x1 h3 y3ae ff2 fs0 fc0 sc0 ls0 ws0">2<span class="ff3">ax<span class="_ _8"> </span></span>+<span class="_ _8"> </span><span class="ff3">b<span class="_ _8"> </span></span>+</div><div class="t m0 xdc h4 y509 ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 xdb h3 y3ae ff3 fs0 fc0 sc0 ls0 ws0">b</div><div class="t m0 x151 h5 y506 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x153 h4 y3ae ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff2">4<span class="ff3">ac</span></span></div><div class="t m0 xc h6 y11 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xc h6 y16 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xc h6 y433 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xc h6 y437 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xc h6 y242 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x16f h3 y500 ff3 fs0 fc0 sc0 ls0 ws0">,<span class="_ _28"> </span><span class="ff2">if </span>b</div><div class="t m0 x67 h5 y501 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x68 h3 y500 ff3 fs0 fc0 sc0 ls0 ws0">&gt;<span class="_ _7"> </span><span class="ff2">4</span>ac<span class="ff2">,</span></div><div class="t m0 x103 h3 y1f ff2 fs0 fc0 sc0 ls0 ws0">2</div><div class="t m0 x10b h4 y1d ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 x82 h4 y131 ff2 fs0 fc0 sc0 ls0 ws0">4<span class="ff3">ac<span class="_ _8"> </span><span class="ff4">−<span class="_ _8"> </span></span>b</span></div><div class="t m0 x129 h5 y246 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x134 h3 y1d ff2 fs0 fc0 sc0 ls0 ws0">arctan</div><div class="t m0 x192 h3 y1f ff2 fs0 fc0 sc0 ls0 ws0">2<span class="ff3">ax<span class="_ _8"> </span></span>+<span class="_ _8"> </span><span class="ff3">b</span></div><div class="t m0 xf6 h4 y1d ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 xed h4 y131 ff2 fs0 fc0 sc0 ls0 ws0">4<span class="ff3">ac<span class="_ _8"> </span><span class="ff4">−<span class="_ _8"> </span></span>b</span></div><div class="t m0 x11b h5 y246 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x173 h3 y1d ff3 fs0 fc0 sc0 ls0 ws0">,<span class="_ _88"> </span><span class="ff2">if </span>b</div><div class="t m0 x67 h5 y3af ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x68 h3 y1d ff3 fs0 fc0 sc0 ls0 ws0">&lt;<span class="_ _7"> </span><span class="ff2">4</span>ac<span class="ff2">,</span></div><div class="t m0 x1ba h2 y5d ff1 fs0 fc0 sc0 ls0 ws0">67.</div><div class="t m0 x91 h6 y2b ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x106 h3 y50a ff3 fs0 fc0 sc0 ls0 ws0">dx</div><div class="t m0 xe1 h4 y50b ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 x87 h3 y43b ff3 fs0 fc0 sc0 ls0 ws0">ax</div><div class="t m0 x12f h5 y24f ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x106 h3 y43b ff2 fs0 fc0 sc0 ls0 ws0">+<span class="_ _8"> </span><span class="ff3">bx<span class="_ _8"> </span></span>+<span class="_ _8"> </span><span class="ff3">c</span></div><div class="t m0 x94 h3 y5d ff2 fs0 fc0 sc0 ls0 ws0">=</div><div class="t m0 x1a6 h6 y50c ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x1a6 h6 y13a ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x1a6 h6 y355 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x1a6 h6 y50d ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x1a6 h6 y338 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x1a6 h6 y50e ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x1a6 h6 y5e ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xd5 h3 y401 ff2 fs0 fc0 sc0 ls0 ws0">1</div><div class="t m0 x82 h4 y24b ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 x121 h3 y50f ff3 fs0 fc0 sc0 ls0 ws0">a</div><div class="t m0 x132 h3 y2b ff2 fs0 fc0 sc0 ls0 ws0">ln</div><div class="t m0 x99 h6 y2c6 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x99 h6 y510 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x99 h6 y2b ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x14c h3 y2b ff2 fs0 fc0 sc0 ls0 ws0">2<span class="ff3">ax<span class="_ _8"> </span></span>+<span class="_ _8"> </span><span class="ff3">b<span class="_ _8"> </span></span><span class="ls2">+2</span></div><div class="t m0 x135 h4 y511 ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 xda h3 y2b ff3 fs0 fc0 sc0 ls0 ws0">a</div><div class="t m0 xe8 h6 y24 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xe9 h3 y2b ff3 fs0 fc0 sc0 ls0 ws0">ax</div><div class="t m0 x173 h5 y5b ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x25 h3 y2b ff2 fs0 fc0 sc0 ls0 ws0">+<span class="_ _8"> </span><span class="ff3">bx<span class="_ _8"> </span></span>+<span class="_ _8"> </span><span class="ff3">c</span></div><div class="t m0 x9d h6 y2c6 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x9d h6 y510 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x9d h6 y2b ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xd h3 y2b ff3 fs0 fc0 sc0 ls0 ws0">,<span class="_ _28"> </span><span class="ff2">if </span><span class="ls1">a&gt;</span><span class="ff2">0,</span></div><div class="t m0 x121 h3 y3b5 ff2 fs0 fc0 sc0 ls0 ws0">1</div><div class="t m0 x82 h4 y512 ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 x121 h4 y30 ff4 fs0 fc0 sc0 ls0 ws0">−<span class="ff3">a</span></div><div class="t m0 x97 h3 y512 ff2 fs0 fc0 sc0 ls0 ws0">arcsin</div><div class="t m0 x1b8 h4 y3b5 ff4 fs0 fc0 sc0 ls0 ws0">−<span class="ff2">2<span class="ff3">ax<span class="_ _8"> </span></span></span>−<span class="_ _8"> </span><span class="ff3">b</span></div><div class="t m0 x1 h4 y512 ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 x8d h3 y513 ff3 fs0 fc0 sc0 ls0 ws0">b</div><div class="t m0 x8e h5 y142 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x171 h4 y513 ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff2">4<span class="ff3">ac</span></span></div><div class="t m0 xdc h3 y512 ff3 fs0 fc0 sc0 ls0 ws0">,<span class="_ _89"> </span><span class="ff2">if </span><span class="ls1">a&lt;</span><span class="ff2">0,</span></div><div class="t m0 x1ba h2 y514 ff1 fs0 fc0 sc0 ls0 ws0">68.</div><div class="t m0 x91 h6 y260 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xc5 h6 y515 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x87 h3 y516 ff3 fs0 fc0 sc0 ls0 ws0">ax</div><div class="t m0 x12f h5 y25b ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x18f h3 y516 ff2 fs0 fc0 sc0 ls0 ws0">+<span class="_ _8"> </span><span class="ff3">bx<span class="_ _8"> </span></span>+<span class="_ _8"> </span><span class="ff3 ls7">cd<span class="_ _1f"></span>x<span class="_ _15"></span><span class="ff2 ls0">=</span></span></div><div class="t m0 x124 h3 y517 ff2 fs0 fc0 sc0 ls0 ws0">2<span class="ff3">ax<span class="_ _8"> </span></span>+<span class="_ _8"> </span><span class="ff3">b</span></div><div class="t m0 x1ae h3 y518 ff2 fs0 fc0 sc0 ls0 ws0">4<span class="ff3">a</span></div><div class="t m0 x1aa h6 y519 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x1b6 h3 y516 ff3 fs0 fc0 sc0 ls0 ws0">ax</div><div class="t m0 x191 h5 y25b ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x11a h3 y516 ff2 fs0 fc0 sc0 ls0 ws0">+<span class="_ _8"> </span><span class="ff3">bx<span class="_ _8"> </span></span>+<span class="_ _8"> </span><span class="ff3">c<span class="_ _8"> </span></span>+</div><div class="t m0 xeb h4 y517 ff2 fs0 fc0 sc0 ls0 ws0">4<span class="ff3">ax<span class="_ _8"> </span><span class="ff4">−<span class="_ _8"> </span></span>b</span></div><div class="t m0 x59 h5 y51a ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x56 h3 y518 ff2 fs0 fc0 sc0 ls0 ws0">8<span class="ff3">a</span></div><div class="t m0 x29 h6 y260 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x5c h3 y51b ff3 fs0 fc0 sc0 ls0 ws0">dx</div><div class="t m0 x2b h4 y459 ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 x67 h3 y51c ff3 fs0 fc0 sc0 ls0 ws0">ax</div><div class="t m0 x48 h5 y39 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x2c h3 y51c ff2 fs0 fc0 sc0 ls0 ws0">+<span class="_ _8"> </span><span class="ff3">bx<span class="_ _8"> </span></span>+<span class="_ _8"> </span><span class="ff3">c</span></div><div class="t m0 x1b5 h3 y51d ff3 fs0 fc0 sc0 ls0 ws0">,</div><div class="t m0 x1ba h2 y51e ff1 fs0 fc0 sc0 ls0 ws0">69.</div><div class="t m0 x91 h6 y1a1 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x146 h3 y262 ff3 fs0 fc0 sc0 ls4 ws0">xd<span class="_ _1f"></span>x</div><div class="t m0 xe1 h4 y51f ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 x87 h3 y43 ff3 fs0 fc0 sc0 ls0 ws0">ax</div><div class="t m0 x12f h5 y520 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x106 h3 y43 ff2 fs0 fc0 sc0 ls0 ws0">+<span class="_ _8"> </span><span class="ff3">bx<span class="_ _8"> </span></span>+<span class="_ _8"> </span><span class="ff3">c</span></div><div class="t m0 x94 h3 y51f ff2 fs0 fc0 sc0 ls0 ws0">=</div><div class="t m0 x8c h4 y521 ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 xd4 h3 y262 ff3 fs0 fc0 sc0 ls0 ws0">ax</div><div class="t m0 x14b h5 y522 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x132 h3 y262 ff2 fs0 fc0 sc0 ls0 ws0">+<span class="_ _8"> </span><span class="ff3">bx<span class="_ _8"> </span></span>+<span class="_ _8"> </span><span class="ff3">c</span></div><div class="t m0 x96 h3 y2cc ff3 fs0 fc0 sc0 ls0 ws0">a</div><div class="t m0 x5 h4 y51f ff4 fs0 fc0 sc0 ls0 ws0">−</div><div class="t m0 xf6 h3 y262 ff3 fs0 fc0 sc0 ls0 ws0">b</div><div class="t m0 x8e h3 y2cc ff2 fs0 fc0 sc0 ls0 ws0">2<span class="ff3">a</span></div><div class="t m0 x189 h6 y1a1 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x155 h3 y262 ff3 fs0 fc0 sc0 ls0 ws0">dx</div><div class="t m0 xe8 h4 y51f ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 x157 h3 y43 ff3 fs0 fc0 sc0 ls0 ws0">ax</div><div class="t m0 xeb h5 y520 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x19e h3 y43 ff2 fs0 fc0 sc0 ls0 ws0">+<span class="_ _8"> </span><span class="ff3">bx<span class="_ _8"> </span></span>+<span class="_ _8"> </span><span class="ff3">c</span></div><div class="t m0 xc1 h3 y51f ff3 fs0 fc0 sc0 ls0 ws0">,</div><div class="t m0 x1ba h2 y2ce ff1 fs0 fc0 sc0 ls0 ws0">70.</div><div class="t m0 x91 h6 y523 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xe3 h3 y524 ff3 fs0 fc0 sc0 ls0 ws0">dx</div><div class="t m0 xe1 h3 y70 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 xc6 h4 y6e ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 xc8 h3 y70 ff3 fs0 fc0 sc0 ls0 ws0">ax</div><div class="t m0 x18b h5 y365 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x147 h3 y70 ff2 fs0 fc0 sc0 ls0 ws0">+<span class="_ _8"> </span><span class="ff3">bx<span class="_ _8"> </span></span>+<span class="_ _8"> </span><span class="ff3">c</span></div><div class="t m0 xe6 h3 y2ce ff2 fs0 fc0 sc0 ls0 ws0">=</div><div class="t m0 x1ac h6 y69 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x1ac h6 y525 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x1ac h6 y445 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x1ac h6 y1ab ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x1ac h6 y526 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x1ac h6 y165 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x1ac h6 y463 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x1ac h6 y527 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x1ac h6 y528 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x128 h4 y6b ff4 fs0 fc0 sc0 ls0 ws0">−<span class="ff2">1</span></div><div class="t m0 x128 h4 y529 ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 xd6 h3 y267 ff3 fs0 fc0 sc0 ls0 ws0">c</div><div class="t m0 xd7 h3 y26a ff2 fs0 fc0 sc0 ls0 ws0">ln</div><div class="t m0 x129 h6 y46 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x129 h6 y52a ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x129 h6 y45 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x129 h6 y52b ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x129 h6 y3ef ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x119 h3 y6b ff2 fs0 fc0 sc0 ls0 ws0">2</div><div class="t m0 xc2 h4 y287 ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 x12a h3 y6b ff3 fs0 fc0 sc0 ls0 ws0">c</div><div class="t m0 x8a h4 y69 ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 x8d h3 y6b ff3 fs0 fc0 sc0 ls0 ws0">ax</div><div class="t m0 xca h5 y360 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x135 h3 y6b ff2 fs0 fc0 sc0 ls0 ws0">+<span class="_ _8"> </span><span class="ff3">bx<span class="_ _8"> </span></span>+<span class="_ _8"> </span><span class="ff3">c<span class="_ _8"> </span></span>+<span class="_ _8"> </span><span class="ff3">bx<span class="_ _8"> </span></span><span class="ls2">+2<span class="_ _9"></span><span class="ff3 ls0">c</span></span></div><div class="t m0 x150 h3 y267 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x19f h6 y46 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x19f h6 y52c ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x19f h6 y45 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x19f h6 y52d ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x19f h6 y3ef ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x47 h3 y26a ff3 fs0 fc0 sc0 ls0 ws0">,<span class="_ _28"> </span><span class="ff2">if </span><span class="ls1">c&gt;</span><span class="ff2">0,</span></div><div class="t m0 xfd h3 y463 ff2 fs0 fc0 sc0 ls0 ws0">1</div><div class="t m0 x128 h4 y528 ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 xd6 h4 y52e ff4 fs0 fc0 sc0 ls0 ws0">−<span class="ff3">c</span></div><div class="t m0 x13c h3 y79 ff2 fs0 fc0 sc0 ls0 ws0">arcsin</div><div class="t m0 xf6 h3 y463 ff3 fs0 fc0 sc0 ls0 ws0">bx<span class="_ _8"> </span><span class="ff2 ls2">+2<span class="_ _9"></span><span class="ff3 ls0">c</span></span></div><div class="t m0 xc3 h4 y1f8 ff4 fs0 fc0 sc0 ls0 ws0">|<span class="ff3">x</span>|</div><div class="t m0 xf7 h4 y528 ff4 fs0 fc0 sc0 ls0 ws0">√</div><div class="t m0 xc4 h3 y1f8 ff3 fs0 fc0 sc0 ls0 ws0">b</div><div class="t m0 xcb h5 y3bc ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 xda h4 y1f8 ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff2">4<span class="ff3">ac</span></span></div><div class="t m0 x173 h3 y79 ff3 fs0 fc0 sc0 ls0 ws0">,<span class="_ _85"> </span><span class="ff2">if<span class="_ _7"> </span></span><span class="ls1">c&lt;</span><span class="ff2">0,</span></div><div class="t m0 x1ba h2 y413 ff1 fs0 fc0 sc0 ls0 ws0">71.</div><div class="t m0 x91 h6 y410 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xc5 h3 y413 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x1a3 h5 ya9 ff5 fs1 fc0 sc0 ls0 ws0">3</div><div class="t m0 x87 h6 y52f ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x12f h3 y413 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x18b h5 y306 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x147 h3 y413 ff2 fs0 fc0 sc0 ls0 ws0">+<span class="_ _8"> </span><span class="ff3">a</span></div><div class="t m0 x109 h5 y306 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x115 h3 y413 ff3 fs0 fc0 sc0 ls0 ws0">dx<span class="_ _7"> </span><span class="ff2 ls1">=(</span></div><div class="t m0 x1ac h5 y411 ff5 fs1 fc0 sc0 ls0 ws0">1</div><div class="t m0 x1ac h5 y86 ff5 fs1 fc0 sc0 ls0 ws0">3</div><div class="t m0 xf5 h3 y413 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 xd5 h5 ya9 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x103 h4 y413 ff4 fs0 fc0 sc0 ls0 ws0">−</div><div class="t m0 x97 h5 y411 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x83 h5 y86 ff5 fs1 fc0 sc0 ls0 ws0">15</div><div class="t m0 x129 h3 y413 ff3 fs0 fc0 sc0 ls0 ws0">a</div><div class="t m0 x14d h5 ya9 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 xc2 h3 y413 ff2 fs0 fc0 sc0 ls0 ws0">)(<span class="ff3">x</span></div><div class="t m0 x1b8 h5 ya9 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x8d h3 y413 ff2 fs0 fc0 sc0 ls0 ws0">+<span class="_ _8"> </span><span class="ff3">a</span></div><div class="t m0 xc4 h5 ya9 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 xcb h3 y413 ff2 fs0 fc0 sc0 ls0 ws0">)</div><div class="t m0 x136 h5 ya9 ff5 fs1 fc0 sc0 ls0 ws0">3<span class="ff6">/</span>2</div><div class="t m0 xdc h3 y413 ff3 fs0 fc0 sc0 ls0 ws0">,</div><div class="t m0 x1ba h2 y2cf ff1 fs0 fc0 sc0 ls0 ws0">72.</div><div class="t m0 x91 h6 y36e ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xc5 h3 y2cf ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x1a3 h5 y416 ff6 fs1 fc0 sc0 ls0 ws0">n</div><div class="t m0 x1a5 h4 y2cf ff2 fs0 fc0 sc0 ls0 ws0">sin(<span class="ff3">ax</span>)<span class="_ _6"> </span><span class="ff3">dx<span class="_ _7"> </span></span>=<span class="_ _7"> </span><span class="ff4">−</span></div><div class="t m0 x8c h5 y530 ff5 fs1 fc0 sc0 ls0 ws0">1</div><div class="t m0 x8c h5 y91 ff6 fs1 fc0 sc0 ls0 ws0">a</div><div class="t m0 x144 h3 y2cf ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x82 h5 y416 ff6 fs1 fc0 sc0 ls0 ws0">n</div><div class="t m0 x121 h3 y2cf ff2 fs0 fc0 sc0 ls0 ws0">cos(<span class="ff3">ax</span><span class="ls9">)+</span></div><div class="t m0 x1 h5 y530 ff6 fs1 fc0 sc0 ls0 ws0">n</div><div class="t m0 x1 h5 y91 ff6 fs1 fc0 sc0 ls0 ws0">a</div><div class="t m0 x176 h6 y36e ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x171 h3 y2cf ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 xed h5 y416 ff6 fs1 fc0 sc0 ls0 ws0">n<span class="ff8">−<span class="ff5">1</span></span></div><div class="t m0 x150 h3 y2cf ff2 fs0 fc0 sc0 ls0 ws0">cos(<span class="ff3">ax</span>)<span class="_ _6"> </span><span class="ff3">dx,</span></div><div class="t m0 x1ba h2 y1c5 ff1 fs0 fc0 sc0 ls0 ws0">73.</div><div class="t m0 x91 h6 y417 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xc5 h3 y1c5 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x1a3 h5 y531 ff6 fs1 fc0 sc0 ls0 ws0">n</div><div class="t m0 x1a5 h3 y1c5 ff2 fs0 fc0 sc0 ls0 ws0">cos(<span class="ff3">ax</span>)<span class="_ _6"> </span><span class="ff3">dx<span class="_ _7"> </span></span>=</div><div class="t m0 x8b h5 y291 ff5 fs1 fc0 sc0 ls0 ws0">1</div><div class="t m0 x8b h5 y96 ff6 fs1 fc0 sc0 ls0 ws0">a</div><div class="t m0 x1a6 h3 y1c5 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x1ac h5 y531 ff6 fs1 fc0 sc0 ls0 ws0">n</div><div class="t m0 x124 h4 y1c5 ff2 fs0 fc0 sc0 ls0 ws0">sin(<span class="ff3">ax</span>)<span class="_ _8"> </span><span class="ff4">−</span></div><div class="t m0 x1b6 h5 y291 ff6 fs1 fc0 sc0 ls0 ws0">n</div><div class="t m0 xd8 h5 y96 ff6 fs1 fc0 sc0 ls0 ws0">a</div><div class="t m0 x1 h6 y417 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x16d h3 y1c5 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 xf6 h5 y531 ff6 fs1 fc0 sc0 ls0 ws0">n<span class="ff8">−<span class="ff5">1</span></span></div><div class="t m0 x8 h3 y1c5 ff2 fs0 fc0 sc0 ls0 ws0">sin(<span class="ff3">ax</span>)<span class="_ _6"> </span><span class="ff3">dx,</span></div><div class="t m0 x1ba h2 y532 ff1 fs0 fc0 sc0 ls0 ws0">74.</div><div class="t m0 x91 h6 y533 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xc5 h3 y532 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x1a3 h5 y177 ff6 fs1 fc0 sc0 ls0 ws0">n</div><div class="t m0 x194 h3 y534 ff3 fs0 fc0 sc0 ls0 ws0">e</div><div class="t m0 x18c h5 y177 ff6 fs1 fc0 sc0 ls0 ws0">ax</div><div class="t m0 x106 h3 y534 ff3 fs0 fc0 sc0 ls0 ws0">dx<span class="_ _7"> </span><span class="ff2">=</span></div><div class="t m0 x108 h3 y535 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x2 h5 y536 ff6 fs1 fc0 sc0 ls0 ws0">n</div><div class="t m0 x6 h3 y537 ff3 fs0 fc0 sc0 ls0 ws0">e</div><div class="t m0 x1a2 h5 y536 ff6 fs1 fc0 sc0 ls0 ws0">ax</div><div class="t m0 x142 h3 yb5 ff3 fs0 fc0 sc0 ls0 ws0">a</div><div class="t m0 x1af h4 y538 ff4 fs0 fc0 sc0 ls0 ws0">−</div><div class="t m0 x145 h5 y177 ff6 fs1 fc0 sc0 ls0 ws0">n</div><div class="t m0 x145 h5 y9f ff6 fs1 fc0 sc0 ls0 ws0">a</div><div class="t m0 x10c h6 y539 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xd7 h3 y534 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x99 h5 y177 ff6 fs1 fc0 sc0 ls0 ws0">n<span class="ff8">−<span class="ff5">1</span></span></div><div class="t m0 x89 h3 y534 ff3 fs0 fc0 sc0 ls0 ws0">e</div><div class="t m0 x4 h5 y177 ff6 fs1 fc0 sc0 ls0 ws0">ax</div><div class="t m0 xc9 h3 y534 ff3 fs0 fc0 sc0 ls0 ws0">dx,</div><div class="t m0 x1ba h2 y53a ff1 fs0 fc0 sc0 ls0 ws0">75.</div><div class="t m0 x91 h6 y53b ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xc5 h3 y53a ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x1a3 h5 y53c ff6 fs1 fc0 sc0 ls0 ws0">n</div><div class="t m0 x1a5 h3 y53d ff2 fs0 fc0 sc0 ls8 ws0">ln(<span class="ff3 ls0">ax<span class="ff2">)<span class="_ _6"> </span></span>dx<span class="_ _7"> </span><span class="ff2">=<span class="_ _7"> </span></span>x</span></div><div class="t m0 x8b h5 y53c ff6 fs1 fc0 sc0 ls0 ws0">n<span class="ff5">+1</span></div><div class="t m0 x82 h6 y53e ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x121 h3 y2d3 ff2 fs0 fc0 sc0 ls0 ws0">ln(<span class="ff3">ax</span>)</div><div class="t m0 x10c h3 y4c6 ff3 fs0 fc0 sc0 ls0 ws0">n<span class="_ _8"> </span><span class="ff2 ls2">+1</span></div><div class="t m0 x1bd h4 y53f ff4 fs0 fc0 sc0 ls0 ws0">−</div><div class="t m0 x16d h3 y2d3 ff2 fs0 fc0 sc0 ls0 ws0">1</div><div class="t m0 x12a h3 y4c6 ff2 fs0 fc0 sc0 ls0 ws0">(<span class="ff3">n<span class="_ _8"> </span></span><span class="ls2">+1<span class="_ _9"></span>)</span></div><div class="t m0 x189 h5 y2e9 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x1be h6 y53e ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x150 h3 y53a ff3 fs0 fc0 sc0 ls0 ws0">,</div><div class="t m0 x1ba h2 y540 ff1 fs0 fc0 sc0 ls0 ws0">76.</div><div class="t m0 x91 h6 y20f ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xc5 h3 y540 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x1a3 h5 y2d9 ff6 fs1 fc0 sc0 ls0 ws0">n</div><div class="t m0 x194 h3 y541 ff2 fs0 fc0 sc0 ls0 ws0">(ln<span class="_ _6"> </span><span class="ff3">ax</span>)</div><div class="t m0 x123 h5 y2d9 ff6 fs1 fc0 sc0 ls0 ws0">m</div><div class="t m0 xf3 h3 y541 ff3 fs0 fc0 sc0 ls0 ws0">dx<span class="_ _7"> </span><span class="ff2">=</span></div><div class="t m0 x10a h3 y184 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x1af h5 y297 ff6 fs1 fc0 sc0 ls0 ws0">n<span class="ff5">+1</span></div><div class="t m0 x10a h3 y542 ff3 fs0 fc0 sc0 ls0 ws0">n<span class="_ _8"> </span><span class="ff2 ls2">+1</span></div><div class="t m0 x14b h3 y543 ff2 fs0 fc0 sc0 ls0 ws0">(ln<span class="_ _6"> </span><span class="ff3">ax</span>)</div><div class="t m0 x1bd h5 y2d9 ff6 fs1 fc0 sc0 ls0 ws0">m</div><div class="t m0 x4 h4 y541 ff4 fs0 fc0 sc0 ls0 ws0">−</div><div class="t m0 x8e h3 y184 ff3 fs0 fc0 sc0 ls0 ws0">m</div><div class="t m0 xc9 h3 y542 ff3 fs0 fc0 sc0 ls0 ws0">n<span class="_ _8"> </span><span class="ff2 ls2">+1</span></div><div class="t m0 x136 h6 y20f ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x15d h3 y543 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x174 h5 y2d9 ff6 fs1 fc0 sc0 ls0 ws0">n</div><div class="t m0 x11b h3 y541 ff2 fs0 fc0 sc0 ls0 ws0">(ln<span class="_ _6"> </span><span class="ff3">ax</span>)</div><div class="t m0 x58 h5 y2d9 ff6 fs1 fc0 sc0 ls0 ws0">m<span class="ff8">−<span class="ff5">1</span></span></div><div class="t m0 xc1 h3 y541 ff3 fs0 fc0 sc0 ls0 ws0">dx.</div><div class="t m0 x6c h3 y327 ff2 fs0 fc0 sc0 ls0 ws0">Difference, shift op<span class="_ _3"></span>erators:</div><div class="t m0 x33 h4 y544 ff2 fs0 fc0 sc0 ls0 ws0">∆<span class="ff3">f<span class="_ _2"></span></span>(<span class="ff3">x</span><span class="ls1">)=</span><span class="ff3">f<span class="_ _2"></span></span>(<span class="ff3">x<span class="_ _8"> </span></span><span class="ls2">+1<span class="_ _9"></span>)<span class="ff4 ls0">−<span class="_ _8"> </span><span class="ff3">f<span class="_ _2"></span><span class="ff2">(</span>x<span class="ff2">)</span>,</span></span></span></div><div class="t m0 x33 h3 y4fa ff2 fs0 fc0 sc0 ls0 ws0">E</div><div class="t m0 x112 h3 y545 ff3 fs0 fc0 sc0 ls0 ws0">f<span class="_ _2"></span><span class="ff2">(</span>x<span class="ff2 ls1">)=</span>f<span class="_ _2"></span><span class="ff2">(</span>x<span class="_ _8"> </span><span class="ff2 ls2">+1<span class="_ _9"></span>)<span class="_ _9"></span><span class="ff3 ls0">.</span></span></div><div class="t m0 x6c h3 y23d ff2 fs0 fc0 sc0 ls0 ws0">F<span class="_ _5"></span>undamen<span class="_ _5"></span>tal<span class="_ _7"> </span>Theorem:</div><div class="t m0 x6c h4 y44f ff3 fs0 fc0 sc0 ls0 ws0">f<span class="_ _2"></span><span class="ff2">(</span>x<span class="ff2 ls1">)=∆<span class="_ _b"></span><span class="ff3 ls0">F<span class="_ _6"> </span><span class="ff2">(</span>x<span class="ff2">)<span class="_ _7"> </span><span class="ff4">⇔</span></span></span></span></div><div class="t m0 x113 h6 y434 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x63 h3 y44f ff3 fs0 fc0 sc0 ls0 ws0">f<span class="_ _2"></span><span class="ff2">(</span>x<span class="ff2">)</span><span class="ls15">δx<span class="_ _8"> </span></span><span class="ff2">=<span class="_ _7"> </span></span>F<span class="_ _6"> </span><span class="ff2">(</span>x<span class="ff2 ls2">)+</span><span class="ls10">C.</span></div><div class="t m0 x1bf h5 y54 ff6 fs1 fc0 sc0 ls0 ws0">b</div><div class="t m0 x112 h6 y34e ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x1bf h5 y3fe ff6 fs1 fc0 sc0 ls0 ws0">a</div><div class="t m0 x7b h3 y132 ff3 fs0 fc0 sc0 ls0 ws0">f<span class="_ _2"></span><span class="ff2">(</span>x<span class="ff2">)</span><span class="ls15">δx<span class="_ _8"> </span></span><span class="ff2">=</span></div><div class="t m0 xb1 h5 y54 ff6 fs1 fc0 sc0 ls0 ws0">b<span class="ff8">−<span class="ff5">1</span></span></div><div class="t m0 xb1 h6 y34e ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xb1 h5 y2f7 ff6 fs1 fc0 sc0 ls0 ws0">i<span class="ff5">=</span>a</div><div class="t m0 x53 h3 y132 ff3 fs0 fc0 sc0 ls0 ws0">f<span class="_ _2"></span><span class="ff2">(</span>i<span class="ff2">)</span>.</div><div class="t m0 x6c h3 y2f8 ff2 fs0 fc0 sc0 ls0 ws0">Differences:</div><div class="t m0 x6c h3 y510 ff2 fs0 fc0 sc0 ls0 ws0">∆(<span class="ff3">cu</span><span class="ls1">)=</span><span class="ff3">c</span>∆<span class="ff3">u,<span class="_ _64"> </span></span>∆(<span class="ff3">u<span class="_ _8"> </span></span>+<span class="_ _8"> </span><span class="ff3">v</span><span class="ls1">)=∆<span class="_ _b"></span><span class="ff3 ls0">u<span class="_ _8"> </span><span class="ff2 ls2">+∆<span class="_ _9"></span><span class="ff3 ls10">v,</span></span></span></span></div><div class="t m0 x6c h3 y334 ff2 fs0 fc0 sc0 ls0 ws0">∆(<span class="ff3">uv<span class="_ _3"></span></span><span class="ls1">)=</span><span class="ff3">u</span>∆<span class="ff3">v<span class="_ _7"> </span></span>+</div><div class="t m0 x50 h3 y252 ff2 fs0 fc0 sc0 ls0 ws0">E</div><div class="t m0 x62 h3 y334 ff3 fs0 fc0 sc0 ls0 ws0">v<span class="_ _3"></span><span class="ff2">∆</span>u,</div><div class="t m0 x6c h3 y405 ff2 fs0 fc0 sc0 ls0 ws0">∆(<span class="ff3">x</span></div><div class="t m0 x31 h5 y13f ff6 fs1 fc0 sc0 ls0 ws0">n</div><div class="t m0 x30 h3 y405 ff2 fs0 fc0 sc0 ls1 ws0">)=<span class="ff3 ls0">nx</span></div><div class="t m0 x13b h5 y13f ff6 fs1 fc0 sc0 ls0 ws0">n<span class="ff8">−<span class="ff5">1</span></span></div><div class="t m0 x35 h3 y405 ff3 fs0 fc0 sc0 ls0 ws0">,</div><div class="t m0 x6c h3 y546 ff2 fs0 fc0 sc0 ls0 ws0">∆(<span class="ff3">H</span></div><div class="t m0 x110 h5 y27e ff6 fs1 fc0 sc0 ls0 ws0">x</div><div class="t m0 x78 h3 y547 ff2 fs0 fc0 sc0 ls1 ws0">)=<span class="ff3 ls0">x</span></div><div class="t m0 x1bf h5 y158 ff8 fs1 fc0 sc0 ls0 ws0">−<span class="ff5">1</span></div><div class="t m0 x7a h3 y547 ff3 fs0 fc0 sc0 ls0 ws0">,<span class="_ _71"> </span><span class="ff2">∆(2</span></div><div class="t m0 xa6 h5 y548 ff6 fs1 fc0 sc0 ls0 ws0">x</div><div class="t m0 x167 h3 y547 ff2 fs0 fc0 sc0 ls1 ws0">)=2</div><div class="t m0 x185 h5 y548 ff6 fs1 fc0 sc0 ls0 ws0">x</div><div class="t m0 xa7 h3 y547 ff3 fs0 fc0 sc0 ls0 ws0">,</div><div class="t m0 x6c h3 y549 ff2 fs0 fc0 sc0 ls0 ws0">∆(<span class="ff3">c</span></div><div class="t m0 x9f h5 y25b ff6 fs1 fc0 sc0 ls0 ws0">x</div><div class="t m0 x4c h4 y54a ff2 fs0 fc0 sc0 ls1 ws0">)=(<span class="_ _b"></span><span class="ff3 ls0">c<span class="_ _8"> </span><span class="ff4">−<span class="_ _8"> </span><span class="ff2">1)</span></span>c</span></div><div class="t m0 xb0 h5 y25b ff6 fs1 fc0 sc0 ls0 ws0">x</div><div class="t m0 xb7 h3 y54a ff3 fs0 fc0 sc0 ls0 ws0">,<span class="_ _4c"> </span><span class="ff2">∆</span></div><div class="t m0 x199 h6 y60 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xf0 h5 y280 ff6 fs1 fc0 sc0 ls0 ws0">x</div><div class="t m0 x7c h5 y25c ff6 fs1 fc0 sc0 ls0 ws0">m</div><div class="t m0 x21 h6 y60 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x66 h3 y54a ff2 fs0 fc0 sc0 ls0 ws0">=</div><div class="t m0 xbf h6 y60 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xc0 h5 y280 ff6 fs1 fc0 sc0 ls0 ws0">x</div><div class="t m0 xa5 h5 y25c ff6 fs1 fc0 sc0 ls0 ws0">m<span class="ff8">−<span class="ff5">1</span></span></div><div class="t m0 x185 h6 y60 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xa7 h3 y54a ff3 fs0 fc0 sc0 ls0 ws0">.</div><div class="t m0 x6c h3 y15a ff2 fs0 fc0 sc0 ls0 ws0">Sums:</div><div class="t m0 x6c h6 y1a1 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x42 h3 y41 ff3 fs0 fc0 sc0 ls0 ws0">cu<span class="_ _6"> </span>δ<span class="_ _15"></span>x<span class="_ _7"> </span><span class="ff2">=<span class="_ _7"> </span></span>c</div><div class="t m0 xfb h6 y1a1 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x169 h3 y41 ff3 fs0 fc0 sc0 ls4 ws0">uδ<span class="_ _1f"></span>x<span class="_ _1f"></span>,</div><div class="t m0 x6c h6 y48 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x122 h3 y49 ff2 fs0 fc0 sc0 ls0 ws0">(<span class="ff3">u<span class="_ _8"> </span></span>+<span class="_ _8"> </span><span class="ff3">v<span class="_ _3"></span></span>)<span class="_ _6"> </span><span class="ff3 ls15">δx<span class="_ _7"> </span></span>=</div><div class="t m0 x35 h6 y48 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x164 h3 y49 ff3 fs0 fc0 sc0 ls4 ws0">uδ<span class="_ _1f"></span>x<span class="_ _15"></span><span class="ff2 ls0">+</span></div><div class="t m0 x54 h6 y48 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x37 h3 y49 ff3 fs0 fc0 sc0 ls2 ws0">vδ<span class="_ _1f"></span>x<span class="_ _9"></span>,</div><div class="t m0 x6c h6 y54b ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x42 h4 y54c ff3 fs0 fc0 sc0 ls0 ws0">u<span class="ff2">∆</span><span class="ls2">vδ<span class="_ _1f"></span>x<span class="_ _15"></span><span class="ff2 ls0">=<span class="_ _7"> </span><span class="ff3">uv<span class="_ _7"> </span><span class="ff4">−</span></span></span></span></div><div class="t m0 x62 h6 y54b ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x17e h3 y54d ff2 fs0 fc0 sc0 ls0 ws0">E</div><div class="t m0 x1c h3 y54c ff3 fs0 fc0 sc0 ls0 ws0">v<span class="_ _3"></span><span class="ff2">∆</span><span class="ls4">uδ<span class="_ _1f"></span>x<span class="_ _1f"></span>,</span></div><div class="t m0 x6c h6 y78 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x42 h3 y1f5 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x31 h5 y54e ff6 fs1 fc0 sc0 ls0 ws0">n</div><div class="t m0 x78 h3 y1f5 ff3 fs0 fc0 sc0 ls15 ws0">δx<span class="_ _8"> </span><span class="ff2 ls0">=</span></div><div class="t m0 x79 h5 y54f ff6 fs1 fc0 sc0 ls0 ws0">x</div><div class="t m0 xfb h7 y550 ffa fs2 fc0 sc0 ls0 ws0">n<span class="ffc">+1</span></div><div class="t m0 x79 h5 y365 ff6 fs1 fc0 sc0 ls0 ws0">m<span class="ff5">+1</span></div><div class="t m0 xa9 h3 y1f5 ff3 fs0 fc0 sc0 ls0 ws0">,</div><div class="t m0 xcf h6 y550 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x199 h3 y1f5 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 xf0 h5 y54f ff8 fs1 fc0 sc0 ls0 ws0">−<span class="ff5">1</span></div><div class="t m0 x66 h3 y1f5 ff3 fs0 fc0 sc0 ls15 ws0">δx<span class="_ _8"> </span><span class="ff2 ls0">=<span class="_ _7"> </span><span class="ff3">H</span></span></div><div class="t m0 x185 h5 y448 ff6 fs1 fc0 sc0 ls0 ws0">x</div><div class="t m0 xa7 h3 y1f5 ff3 fs0 fc0 sc0 ls0 ws0">,</div><div class="t m0 x6c h6 y551 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x42 h3 y552 ff3 fs0 fc0 sc0 ls0 ws0">c</div><div class="t m0 x9f h5 y303 ff6 fs1 fc0 sc0 ls0 ws0">x</div><div class="t m0 x30 h3 y553 ff3 fs0 fc0 sc0 ls15 ws0">δx<span class="_ _8"> </span><span class="ff2 ls0">=</span></div><div class="t m0 x79 h5 y303 ff6 fs1 fc0 sc0 ls0 ws0">c</div><div class="t m0 xfb h7 y28b ffa fs2 fc0 sc0 ls0 ws0">x</div><div class="t m0 x1bf h5 y4b0 ff6 fs1 fc0 sc0 ls0 ws0">c<span class="ff8">−<span class="ff5">1</span></span></div><div class="t m0 x60 h3 y553 ff3 fs0 fc0 sc0 ls0 ws0">,</div><div class="t m0 x52 h6 y554 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xcf h6 y3bd ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xbc h5 y38e ff6 fs1 fc0 sc0 ls0 ws0">x</div><div class="t m0 xbc h5 y4b0 ff6 fs1 fc0 sc0 ls0 ws0">m</div><div class="t m0 x37 h6 y3bd ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xf0 h3 y553 ff3 fs0 fc0 sc0 ls15 ws0">δx<span class="_ _8"> </span><span class="ff2 ls0">=</span></div><div class="t m0 xbf h6 y3bd ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xc0 h5 y38e ff6 fs1 fc0 sc0 ls0 ws0">x</div><div class="t m0 xba h5 y4b0 ff6 fs1 fc0 sc0 ls0 ws0">m<span class="ff5">+1</span></div><div class="t m0 x185 h6 y3bd ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xa7 h3 y553 ff3 fs0 fc0 sc0 ls0 ws0">.</div><div class="t m0 x6c h3 y1f9 ff2 fs0 fc0 sc0 ls0 ws0">F<span class="_ _5"></span>alling<span class="_ _7"> </span>F<span class="_ _5"></span>actorial<span class="_ _7"> </span>Po<span class="_ _5"></span>w<span class="_ _5"></span>ers:</div><div class="t m0 x1b7 h3 y555 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x110 h5 y26d ff6 fs1 fc0 sc0 ls0 ws0">n</div><div class="t m0 x17b h4 y556 ff2 fs0 fc0 sc0 ls0 ws0">=<span class="_ _7"> </span><span class="ff3">x</span>(<span class="ff3">x<span class="_ _8"> </span><span class="ff4">−<span class="_ _8"> </span></span></span>1)<span class="_ _6"> </span><span class="ff4 ls4">···</span>(<span class="ff3">x<span class="_ _8"> </span><span class="ff4">−<span class="_ _8"> </span></span>n<span class="_ _8"> </span></span><span class="ls2">+1<span class="_ _9"></span>)<span class="_ _9"></span><span class="ff3 lsa">,n<span class="_ _a"></span>&gt;<span class="_ _a"></span><span class="ff2 ls0">0<span class="ff3">,</span></span></span></span></div><div class="t m0 x4b h3 y557 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x4c h5 y3c1 ff5 fs1 fc0 sc0 ls0 ws0">0</div><div class="t m0 x17b h3 y558 ff2 fs0 fc0 sc0 ls1 ws0">=1<span class="_ _b"></span><span class="ff3 ls0">,</span></div><div class="t m0 x1b7 h3 y4bb ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x110 h5 yae ff6 fs1 fc0 sc0 ls0 ws0">n</div><div class="t m0 x17b h3 y4bb ff2 fs0 fc0 sc0 ls0 ws0">=</div><div class="t m0 x62 h3 y559 ff2 fs0 fc0 sc0 ls0 ws0">1</div><div class="t m0 x43 h4 y55a ff2 fs0 fc0 sc0 ls0 ws0">(<span class="ff3">x<span class="_ _8"> </span></span><span class="ls2">+1<span class="_ _9"></span>)<span class="_ _5"></span><span class="ff4 ls4">···<span class="ff2 ls0">(<span class="ff3">x<span class="_ _8"> </span></span>+<span class="_ _8"> </span><span class="ff4">|<span class="ff3">n</span>|</span>)</span></span></span></div><div class="t m0 xdf h3 y4bb ff3 fs0 fc0 sc0 ls3 ws0">,n<span class="_ _a"></span>&lt;<span class="_ _a"></span><span class="ff2 ls0">0<span class="ff3">,</span></span></div><div class="t m0 x40 h3 y1cb ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x13a h5 y1cc ff6 fs1 fc0 sc0 ls0 ws0">n<span class="ff5">+</span>m</div><div class="t m0 x17b h3 y1cb ff2 fs0 fc0 sc0 ls0 ws0">=<span class="_ _7"> </span><span class="ff3">x</span></div><div class="t m0 x6d h5 y1cc ff6 fs1 fc0 sc0 ls0 ws0">m</div><div class="t m0 xb6 h4 y1cb ff2 fs0 fc0 sc0 ls0 ws0">(<span class="ff3">x<span class="_ _8"> </span><span class="ff4">−<span class="_ _8"> </span></span>m</span>)</div><div class="t m0 x36 h5 y1cc ff6 fs1 fc0 sc0 ls0 ws0">n</div><div class="t m0 x17e h3 y1cb ff3 fs0 fc0 sc0 ls0 ws0">.</div><div class="t m0 x6c h3 y55b ff2 fs0 fc0 sc0 ls0 ws0">Rising F<span class="_ _5"></span>actorial<span class="_ _7"> </span>Po<span class="_ _5"></span>w<span class="_ _5"></span>ers:</div><div class="t m0 x1b7 h3 y55c ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x110 h5 y2d1 ff6 fs1 fc0 sc0 ls0 ws0">n</div><div class="t m0 x17b h4 y55d ff2 fs0 fc0 sc0 ls0 ws0">=<span class="_ _7"> </span><span class="ff3">x</span>(<span class="ff3">x<span class="_ _8"> </span></span><span class="ls2">+1<span class="_ _9"></span>)<span class="_ _5"></span><span class="ff4 ls4">···<span class="ff2 ls0">(<span class="ff3">x<span class="_ _8"> </span></span>+<span class="_ _8"> </span><span class="ff3">n<span class="_ _8"> </span><span class="ff4">−<span class="_ _8"></span></span></span>1)<span class="ff3 lsa">,n<span class="_ _a"></span>&gt;<span class="_ _a"></span><span class="ff2 ls0">0<span class="ff3">,</span></span></span></span></span></span></div><div class="t m0 x4b h3 ya1 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x4c h5 y17e ff5 fs1 fc0 sc0 ls0 ws0">0</div><div class="t m0 x17b h3 ya1 ff2 fs0 fc0 sc0 ls1 ws0">=1<span class="_ _b"></span><span class="ff3 ls0">,</span></div><div class="t m0 x1b7 h3 y378 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x110 h5 y55e ff6 fs1 fc0 sc0 ls0 ws0">n</div><div class="t m0 x17b h3 y378 ff2 fs0 fc0 sc0 ls0 ws0">=</div><div class="t m0 x62 h3 y1d6 ff2 fs0 fc0 sc0 ls0 ws0">1</div><div class="t m0 x43 h4 y55f ff2 fs0 fc0 sc0 ls0 ws0">(<span class="ff3">x<span class="_ _8"> </span><span class="ff4">−<span class="_ _8"> </span></span></span>1)<span class="_ _6"> </span><span class="ff4 ls4">···</span>(<span class="ff3">x<span class="_ _8"> </span><span class="ff4 ls2">−|<span class="_ _9"></span><span class="ff3 ls0">n<span class="ff4">|<span class="ff2">)</span></span></span></span></span></div><div class="t m0 xdf h3 y378 ff3 fs0 fc0 sc0 ls3 ws0">,n<span class="_ _a"></span>&lt;<span class="_ _a"></span><span class="ff2 ls0">0<span class="ff3">,</span></span></div><div class="t m0 x40 h3 y18a ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x13a h5 y560 ff6 fs1 fc0 sc0 ls0 ws0">n<span class="ff5">+</span>m</div><div class="t m0 x17b h3 y18a ff2 fs0 fc0 sc0 ls0 ws0">=<span class="_ _7"> </span><span class="ff3">x</span></div><div class="t m0 x6d h5 y560 ff6 fs1 fc0 sc0 ls0 ws0">m</div><div class="t m0 xb6 h3 y18a ff2 fs0 fc0 sc0 ls0 ws0">(<span class="ff3">x<span class="_ _8"> </span></span>+<span class="_ _8"> </span><span class="ff3">m</span>)</div><div class="t m0 x36 h5 y560 ff6 fs1 fc0 sc0 ls0 ws0">n</div><div class="t m0 x17e h3 y18a ff3 fs0 fc0 sc0 ls0 ws0">.</div><div class="t m0 x6c h3 y561 ff2 fs0 fc0 sc0 ls0 ws0">Con<span class="_ _5"></span>version:</div><div class="t m0 x40 h3 y562 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x13a h5 y423 ff6 fs1 fc0 sc0 ls0 ws0">n</div><div class="t m0 x4b h4 y563 ff2 fs0 fc0 sc0 ls1 ws0">=(<span class="_ _b"></span><span class="ff4 ls0">−<span class="ff2">1)</span></span></div><div class="t m0 x11d h5 y423 ff6 fs1 fc0 sc0 ls0 ws0">n</div><div class="t m0 x13b h4 y563 ff2 fs0 fc0 sc0 ls0 ws0">(<span class="ff4">−<span class="ff3">x</span></span>)</div><div class="t m0 x188 h5 y423 ff6 fs1 fc0 sc0 ls0 ws0">n</div><div class="t m0 xb8 h4 y563 ff2 fs0 fc0 sc0 ls1 ws0">=(<span class="_ _b"></span><span class="ff3 ls0">x<span class="_ _8"> </span><span class="ff4">−<span class="_ _8"> </span></span>n<span class="_ _8"> </span><span class="ff2 ls2">+1<span class="_ _9"></span>)</span></span></div><div class="t m0 x66 h5 y423 ff6 fs1 fc0 sc0 ls0 ws0">n</div><div class="t m0 x4b h3 y2a3 ff2 fs0 fc0 sc0 ls1 ws0">=1<span class="_ _b"></span><span class="ff3 ls0">/<span class="ff2">(</span>x<span class="_ _8"> </span><span class="ff2 ls2">+1<span class="_ _9"></span>)</span></span></div><div class="t m0 x169 h5 y564 ff8 fs1 fc0 sc0 ls0 ws0">−<span class="ff6">n</span></div><div class="t m0 x113 h3 y2a3 ff3 fs0 fc0 sc0 ls0 ws0">,</div><div class="t m0 x40 h3 y565 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x13a h5 y566 ff6 fs1 fc0 sc0 ls0 ws0">n</div><div class="t m0 x4b h4 y567 ff2 fs0 fc0 sc0 ls1 ws0">=(<span class="_ _b"></span><span class="ff4 ls0">−<span class="ff2">1)</span></span></div><div class="t m0 x11d h5 y566 ff6 fs1 fc0 sc0 ls0 ws0">n</div><div class="t m0 x13b h4 y567 ff2 fs0 fc0 sc0 ls0 ws0">(<span class="ff4">−<span class="ff3">x</span></span>)</div><div class="t m0 x188 h5 y566 ff6 fs1 fc0 sc0 ls0 ws0">n</div><div class="t m0 xb8 h4 y567 ff2 fs0 fc0 sc0 ls1 ws0">=(<span class="_ _b"></span><span class="ff3 ls0">x<span class="_ _8"> </span><span class="ff2">+<span class="_ _8"> </span></span>n<span class="_ _8"> </span><span class="ff4">−<span class="_ _8"> </span><span class="ff2">1)</span></span></span></div><div class="t m0 x66 h5 y566 ff6 fs1 fc0 sc0 ls0 ws0">n</div><div class="t m0 x4b h4 y4db ff2 fs0 fc0 sc0 ls1 ws0">=1<span class="_ _b"></span><span class="ff3 ls0">/<span class="ff2">(</span>x<span class="_ _8"> </span><span class="ff4">−<span class="_ _8"> </span><span class="ff2">1)</span></span></span></div><div class="t m0 x169 h5 y4e0 ff8 fs1 fc0 sc0 ls0 ws0">−<span class="ff6">n</span></div><div class="t m0 x113 h3 y4db ff3 fs0 fc0 sc0 ls0 ws0">,</div><div class="t m0 x40 h3 y568 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x13a h5 y4e2 ff6 fs1 fc0 sc0 ls0 ws0">n</div><div class="t m0 x4b h3 y569 ff2 fs0 fc0 sc0 ls0 ws0">=</div><div class="t m0 xdd h5 ydc ff6 fs1 fc0 sc0 ls0 ws0">n</div><div class="t m0 x78 h6 y384 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x78 h5 y56a ff6 fs1 fc0 sc0 ls0 ws0">k<span class="ff5">=1</span></div><div class="t m0 x4d h6 y2e0 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x79 h3 y56b ff3 fs0 fc0 sc0 ls0 ws0">n</div><div class="t m0 x79 h3 y56c ff3 fs0 fc0 sc0 ls0 ws0">k</div><div class="t m0 x7b h6 y2e0 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x169 h3 y569 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x50 h5 y4e2 ff6 fs1 fc0 sc0 ls0 ws0">k</div><div class="t m0 x164 h3 y569 ff2 fs0 fc0 sc0 ls0 ws0">=</div><div class="t m0 x63 h5 ydc ff6 fs1 fc0 sc0 ls0 ws0">n</div><div class="t m0 x19 h6 y384 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x19 h5 y56a ff6 fs1 fc0 sc0 ls0 ws0">k<span class="ff5">=1</span></div><div class="t m0 x64 h6 y2e0 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xbc h3 y56b ff3 fs0 fc0 sc0 ls0 ws0">n</div><div class="t m0 xbc h3 y56c ff3 fs0 fc0 sc0 ls0 ws0">k</div><div class="t m0 x199 h6 y2e0 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x20 h4 y569 ff2 fs0 fc0 sc0 ls0 ws0">(<span class="ff4">−</span>1)</div><div class="t m0 xe0 h5 y4e2 ff6 fs1 fc0 sc0 ls0 ws0">n<span class="ff8">−</span>k</div><div class="t m0 xd3 h3 y569 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x185 h5 y4e2 ff6 fs1 fc0 sc0 ls0 ws0">k</div><div class="t m0 xa7 h3 y569 ff3 fs0 fc0 sc0 ls0 ws0">,</div><div class="t m0 x40 h3 y475 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x13a h5 y56d ff6 fs1 fc0 sc0 ls0 ws0">n</div><div class="t m0 x4b h3 y475 ff2 fs0 fc0 sc0 ls0 ws0">=</div><div class="t m0 xdd h5 y3fb ff6 fs1 fc0 sc0 ls0 ws0">n</div><div class="t m0 x78 h6 y1e6 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x78 h5 y56e ff6 fs1 fc0 sc0 ls0 ws0">k<span class="ff5">=1</span></div><div class="t m0 x4d h6 y2b4 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xec h3 y1e7 ff3 fs0 fc0 sc0 ls0 ws0">n</div><div class="t m0 xec h3 y56f ff3 fs0 fc0 sc0 ls0 ws0">k</div><div class="t m0 x4e h6 y2b4 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xa1 h4 y475 ff2 fs0 fc0 sc0 ls0 ws0">(<span class="ff4">−</span>1)</div><div class="t m0 xb8 h5 y56d ff6 fs1 fc0 sc0 ls0 ws0">n<span class="ff8">−</span>k</div><div class="t m0 x180 h3 y475 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x1b2 h5 y56d ff6 fs1 fc0 sc0 ls0 ws0">k</div><div class="t m0 x54 h3 y475 ff3 fs0 fc0 sc0 ls0 ws0">,</div><div class="t m0 x40 h3 y10b ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x13a h5 y1e9 ff6 fs1 fc0 sc0 ls0 ws0">n</div><div class="t m0 x4b h3 y10b ff2 fs0 fc0 sc0 ls0 ws0">=</div><div class="t m0 xdd h5 y4e9 ff6 fs1 fc0 sc0 ls0 ws0">n</div><div class="t m0 x78 h6 y570 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 x78 h5 y107 ff6 fs1 fc0 sc0 ls0 ws0">k<span class="ff5">=1</span></div><div class="t m0 x4d h6 y105 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xec h3 y3fc ff3 fs0 fc0 sc0 ls0 ws0">n</div><div class="t m0 xec h3 y3aa ff3 fs0 fc0 sc0 ls0 ws0">k</div><div class="t m0 x4e h6 y105 ff7 fs0 fc0 sc0 ls0 ws0"></div><div class="t m0 xa1 h3 y10b ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x35 h5 y1e9 ff6 fs1 fc0 sc0 ls0 ws0">k</div><div class="t m0 x50 h3 y10b ff3 fs0 fc0 sc0 ls0 ws0">.</div><div class="t m0 x114 h3 y29d ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x1c0 h5 y4d4 ff5 fs1 fc0 sc0 ls0 ws0">1</div><div class="t m0 x1c1 h3 y29d ff2 fs0 fc0 sc0 ls0 ws0">=<span class="_ _1c"> </span><span class="ff3">x</span></div><div class="t m0 x13e h5 y4d4 ff5 fs1 fc0 sc0 ls0 ws0">1</div><div class="t m0 xf6 h3 y29d ff2 fs0 fc0 sc0 ls0 ws0">=<span class="_ _8a"> </span><span class="ff3">x</span></div><div class="t m0 x5b h5 y4d4 ff5 fs1 fc0 sc0 ls0 ws0">1</div><div class="t m0 x114 h3 yd2 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x1c0 h5 y571 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x1c1 h3 yd2 ff2 fs0 fc0 sc0 ls0 ws0">=<span class="_ _71"> </span><span class="ff3">x</span></div><div class="t m0 x149 h5 y571 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x101 h3 yd2 ff2 fs0 fc0 sc0 ls0 ws0">+<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 x1af h5 y571 ff5 fs1 fc0 sc0 ls0 ws0">1</div><div class="t m0 xf6 h3 yd2 ff2 fs0 fc0 sc0 ls0 ws0">=<span class="_ _8b"> </span><span class="ff3">x</span></div><div class="t m0 xd h5 y571 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x159 h4 yd2 ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 x48 h5 y571 ff5 fs1 fc0 sc0 ls0 ws0">1</div><div class="t m0 x114 h3 y37e ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x1c0 h5 y566 ff5 fs1 fc0 sc0 ls0 ws0">3</div><div class="t m0 x1c1 h3 y37e ff2 fs0 fc0 sc0 ls0 ws0">=<span class="_ _3c"> </span><span class="ff3">x</span></div><div class="t m0 x1a1 h5 y566 ff5 fs1 fc0 sc0 ls0 ws0">3</div><div class="t m0 x18e h3 y37e ff2 fs0 fc0 sc0 ls2 ws0">+3<span class="_ _9"></span><span class="ff3 ls0">x</span></div><div class="t m0 x8b h5 y566 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x8c h3 y37e ff2 fs0 fc0 sc0 ls0 ws0">+<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 xd5 h5 y566 ff5 fs1 fc0 sc0 ls0 ws0">1</div><div class="t m0 xf6 h3 y37e ff2 fs0 fc0 sc0 ls0 ws0">=<span class="_ _8c"> </span><span class="ff3">x</span></div><div class="t m0 x72 h5 y566 ff5 fs1 fc0 sc0 ls0 ws0">3</div><div class="t m0 x73 h4 y37e ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff2">3<span class="ff3">x</span></span></div><div class="t m0 x2a h5 y566 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x68 h3 y37e ff2 fs0 fc0 sc0 ls0 ws0">+<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 x5f h5 y566 ff5 fs1 fc0 sc0 ls0 ws0">1</div><div class="t m0 x114 h3 y572 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x1c0 h5 y4e0 ff5 fs1 fc0 sc0 ls0 ws0">4</div><div class="t m0 x1c1 h3 y572 ff2 fs0 fc0 sc0 ls0 ws0">=<span class="_ _1a"> </span><span class="ff3">x</span></div><div class="t m0 x143 h5 y4e0 ff5 fs1 fc0 sc0 ls0 ws0">4</div><div class="t m0 xe5 h3 y572 ff2 fs0 fc0 sc0 ls2 ws0">+6<span class="_ _9"></span><span class="ff3 ls0">x</span></div><div class="t m0 x149 h5 y4e0 ff5 fs1 fc0 sc0 ls0 ws0">3</div><div class="t m0 x101 h3 y572 ff2 fs0 fc0 sc0 ls2 ws0">+7<span class="_ _9"></span><span class="ff3 ls0">x</span></div><div class="t m0 x95 h5 y4e0 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x145 h3 y572 ff2 fs0 fc0 sc0 ls0 ws0">+<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 x96 h5 y4e0 ff5 fs1 fc0 sc0 ls0 ws0">1</div><div class="t m0 xf6 h3 y572 ff2 fs0 fc0 sc0 ls0 ws0">=<span class="_ _3a"> </span><span class="ff3">x</span></div><div class="t m0 x9b h5 y4e0 ff5 fs1 fc0 sc0 ls0 ws0">4</div><div class="t m0 x1bb h4 y572 ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff2">6<span class="ff3">x</span></span></div><div class="t m0 xd h5 y4e0 ff5 fs1 fc0 sc0 ls0 ws0">3</div><div class="t m0 x159 h3 y572 ff2 fs0 fc0 sc0 ls2 ws0">+7<span class="_ _9"></span><span class="ff3 ls0">x</span></div><div class="t m0 x175 h5 y4e0 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x196 h4 y572 ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 x75 h5 y4e0 ff5 fs1 fc0 sc0 ls0 ws0">1</div><div class="t m0 x114 h3 y382 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x1c0 h5 y383 ff5 fs1 fc0 sc0 ls0 ws0">5</div><div class="t m0 x1c1 h3 y382 ff2 fs0 fc0 sc0 ls0 ws0">=<span class="_ _6b"> </span><span class="ff3">x</span></div><div class="t m0 x87 h5 y383 ff5 fs1 fc0 sc0 ls0 ws0">5</div><div class="t m0 x18c h3 y382 ff2 fs0 fc0 sc0 ls2 ws0">+1<span class="_ _9"></span>5<span class="_ _9"></span><span class="ff3 ls0">x</span></div><div class="t m0 xf2 h5 y383 ff5 fs1 fc0 sc0 ls0 ws0">4</div><div class="t m0 x13f h3 y382 ff2 fs0 fc0 sc0 ls2 ws0">+2<span class="_ _9"></span>5<span class="_ _9"></span><span class="ff3 ls0">x</span></div><div class="t m0 x10a h5 y383 ff5 fs1 fc0 sc0 ls0 ws0">3</div><div class="t m0 x1af h3 y382 ff2 fs0 fc0 sc0 ls2 ws0">+1<span class="_ _9"></span>0<span class="_ _9"></span><span class="ff3 ls0">x</span></div><div class="t m0 x133 h5 y383 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x97 h3 y382 ff2 fs0 fc0 sc0 ls0 ws0">+<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 x1b0 h5 y383 ff5 fs1 fc0 sc0 ls0 ws0">1</div><div class="t m0 xf6 h3 y382 ff2 fs0 fc0 sc0 ls0 ws0">=<span class="_ _5b"> </span><span class="ff3">x</span></div><div class="t m0 xee h5 y383 ff5 fs1 fc0 sc0 ls0 ws0">5</div><div class="t m0 x1ad h4 y382 ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff2">15<span class="ff3">x</span></span></div><div class="t m0 x18a h5 y383 ff5 fs1 fc0 sc0 ls0 ws0">4</div><div class="t m0 x29 h3 y382 ff2 fs0 fc0 sc0 ls2 ws0">+2<span class="_ _9"></span>5<span class="_ _9"></span><span class="ff3 ls0">x</span></div><div class="t m0 xe h5 y383 ff5 fs1 fc0 sc0 ls0 ws0">3</div><div class="t m0 x48 h4 y382 ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff2">10<span class="ff3">x</span></span></div><div class="t m0 x69 h5 y383 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x3d h3 y382 ff2 fs0 fc0 sc0 ls0 ws0">+<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 x14 h5 y383 ff5 fs1 fc0 sc0 ls0 ws0">1</div><div class="t m0 x114 h3 y2b3 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x1c0 h5 y2e3 ff5 fs1 fc0 sc0 ls0 ws0">1</div><div class="t m0 x1c1 h3 y2b3 ff2 fs0 fc0 sc0 ls0 ws0">=<span class="_ _1c"> </span><span class="ff3">x</span></div><div class="t m0 x13e h5 y2e3 ff5 fs1 fc0 sc0 ls0 ws0">1</div><div class="t m0 xf6 h3 y2b3 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x192 h5 y2e3 ff5 fs1 fc0 sc0 ls0 ws0">1</div><div class="t m0 x7 h3 y2b3 ff2 fs0 fc0 sc0 ls0 ws0">=<span class="_ _1c"> </span><span class="ff3">x</span></div><div class="t m0 x5b h5 y2e3 ff5 fs1 fc0 sc0 ls0 ws0">1</div><div class="t m0 x114 h3 y573 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x1c0 h5 yeb ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x1c1 h3 y573 ff2 fs0 fc0 sc0 ls0 ws0">=<span class="_ _71"> </span><span class="ff3">x</span></div><div class="t m0 x149 h5 yeb ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x101 h3 y573 ff2 fs0 fc0 sc0 ls0 ws0">+<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 x1af h5 yeb ff5 fs1 fc0 sc0 ls0 ws0">1</div><div class="t m0 xf6 h3 y573 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x192 h5 yeb ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x7 h3 y573 ff2 fs0 fc0 sc0 ls0 ws0">=<span class="_ _71"> </span><span class="ff3">x</span></div><div class="t m0 xd h5 yeb ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x159 h4 y573 ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff3">x</span></div><div class="t m0 x48 h5 yeb ff5 fs1 fc0 sc0 ls0 ws0">1</div><div class="t m0 x114 h3 y4f0 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x1c0 h5 y2bc ff5 fs1 fc0 sc0 ls0 ws0">3</div><div class="t m0 x1c1 h3 y4f0 ff2 fs0 fc0 sc0 ls0 ws0">=<span class="_ _41"> </span><span class="ff3">x</span></div><div class="t m0 xf2 h5 y2bc ff5 fs1 fc0 sc0 ls0 ws0">3</div><div class="t m0 x13f h3 y4f0 ff2 fs0 fc0 sc0 ls2 ws0">+3<span class="_ _9"></span><span class="ff3 ls0">x</span></div><div class="t m0 x13e h5 y2bc ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x102 h3 y4f0 ff2 fs0 fc0 sc0 ls2 ws0">+2<span class="_ _9"></span><span class="ff3 ls0">x</span></div><div class="t m0 x121 h5 y2bc ff5 fs1 fc0 sc0 ls0 ws0">1</div><div class="t m0 xf6 h3 y4f0 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x192 h5 y2bc ff5 fs1 fc0 sc0 ls0 ws0">3</div><div class="t m0 x7 h3 y4f0 ff2 fs0 fc0 sc0 ls0 ws0">=<span class="_ _41"> </span><span class="ff3">x</span></div><div class="t m0 x18a h5 y2bc ff5 fs1 fc0 sc0 ls0 ws0">3</div><div class="t m0 x29 h4 y4f0 ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff2">3<span class="ff3">x</span></span></div><div class="t m0 x5b h5 y2bc ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x126 h3 y4f0 ff2 fs0 fc0 sc0 ls2 ws0">+2<span class="_ _9"></span><span class="ff3 ls0">x</span></div><div class="t m0 xf h5 y2bc ff5 fs1 fc0 sc0 ls0 ws0">1</div><div class="t m0 x114 h3 y3a4 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x1c0 h5 y574 ff5 fs1 fc0 sc0 ls0 ws0">4</div><div class="t m0 x1c1 h3 y3a4 ff2 fs0 fc0 sc0 ls0 ws0">=<span class="_ _38"> </span><span class="ff3">x</span></div><div class="t m0 x18b h5 y574 ff5 fs1 fc0 sc0 ls0 ws0">4</div><div class="t m0 x147 h3 y3a4 ff2 fs0 fc0 sc0 ls2 ws0">+6<span class="_ _9"></span><span class="ff3 ls0">x</span></div><div class="t m0 x115 h5 y574 ff5 fs1 fc0 sc0 ls0 ws0">3</div><div class="t m0 x116 h3 y3a4 ff2 fs0 fc0 sc0 ls2 ws0">+1<span class="_ _9"></span>1<span class="_ _9"></span><span class="ff3 ls0">x</span></div><div class="t m0 x95 h5 y574 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x145 h3 y3a4 ff2 fs0 fc0 sc0 ls2 ws0">+6<span class="_ _9"></span><span class="ff3 ls0">x</span></div><div class="t m0 x104 h5 y574 ff5 fs1 fc0 sc0 ls0 ws0">1</div><div class="t m0 xf6 h3 y3a4 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x192 h5 y574 ff5 fs1 fc0 sc0 ls0 ws0">4</div><div class="t m0 x7 h3 y3a4 ff2 fs0 fc0 sc0 ls0 ws0">=<span class="_ _38"> </span><span class="ff3">x</span></div><div class="t m0 x71 h5 y574 ff5 fs1 fc0 sc0 ls0 ws0">4</div><div class="t m0 x58 h4 y3a4 ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff2">6<span class="ff3">x</span></span></div><div class="t m0 xc1 h5 y574 ff5 fs1 fc0 sc0 ls0 ws0">3</div><div class="t m0 x1c2 h3 y3a4 ff2 fs0 fc0 sc0 ls2 ws0">+1<span class="_ _9"></span>1<span class="_ _9"></span><span class="ff3 ls0">x</span></div><div class="t m0 x175 h5 y574 ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x196 h4 y3a4 ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff2">6<span class="ff3">x</span></span></div><div class="t m0 x3d h5 y574 ff5 fs1 fc0 sc0 ls0 ws0">1</div><div class="t m0 x114 h3 y4f1 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x1c0 h5 y10c ff5 fs1 fc0 sc0 ls0 ws0">5</div><div class="t m0 x1c1 h3 y4f1 ff2 fs0 fc0 sc0 ls0 ws0">=<span class="_ _31"> </span><span class="ff3">x</span></div><div class="t m0 x86 h5 y10c ff5 fs1 fc0 sc0 ls0 ws0">5</div><div class="t m0 xfc h3 y4f1 ff2 fs0 fc0 sc0 ls2 ws0">+1<span class="_ _9"></span>0<span class="_ _9"></span><span class="ff3 ls0">x</span></div><div class="t m0 x107 h5 y10c ff5 fs1 fc0 sc0 ls0 ws0">4</div><div class="t m0 x141 h3 y4f1 ff2 fs0 fc0 sc0 ls2 ws0">+3<span class="_ _9"></span>5<span class="_ _9"></span><span class="ff3 ls0">x</span></div><div class="t m0 x13e h5 y10c ff5 fs1 fc0 sc0 ls0 ws0">3</div><div class="t m0 x102 h3 y4f1 ff2 fs0 fc0 sc0 ls2 ws0">+5<span class="_ _9"></span>0<span class="_ _9"></span><span class="ff3 ls0">x</span></div><div class="t m0 x1ae h5 y10c ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x96 h3 y4f1 ff2 fs0 fc0 sc0 ls2 ws0">+2<span class="_ _9"></span>4<span class="_ _9"></span><span class="ff3 ls0">x</span></div><div class="t m0 x1b6 h5 y10c ff5 fs1 fc0 sc0 ls0 ws0">1</div><div class="t m0 xf6 h3 y4f1 ff3 fs0 fc0 sc0 ls0 ws0">x</div><div class="t m0 x192 h5 y10c ff5 fs1 fc0 sc0 ls0 ws0">5</div><div class="t m0 x7 h3 y4f1 ff2 fs0 fc0 sc0 ls0 ws0">=<span class="_ _31"> </span><span class="ff3">x</span></div><div class="t m0 x11b h5 y10c ff5 fs1 fc0 sc0 ls0 ws0">5</div><div class="t m0 xfa h4 y4f1 ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff2">10<span class="ff3">x</span></span></div><div class="t m0 x1bb h5 y10c ff5 fs1 fc0 sc0 ls0 ws0">4</div><div class="t m0 x16f h3 y4f1 ff2 fs0 fc0 sc0 ls2 ws0">+3<span class="_ _9"></span>5<span class="_ _9"></span><span class="ff3 ls0">x</span></div><div class="t m0 x5b h5 y10c ff5 fs1 fc0 sc0 ls0 ws0">3</div><div class="t m0 x126 h4 y4f1 ff4 fs0 fc0 sc0 ls0 ws0">−<span class="_ _8"> </span><span class="ff2">50<span class="ff3">x</span></span></div><div class="t m0 x10e h5 y10c ff5 fs1 fc0 sc0 ls0 ws0">2</div><div class="t m0 x75 h3 y4f1 ff2 fs0 fc0 sc0 ls2 ws0">+2<span class="_ _9"></span>4<span class="_ _9"></span><span class="ff3 ls0">x</span></div><div class="t m0 x12c h5 y10c ff5 fs1 fc0 sc0 ls0 ws0">1</div></div><div class="pi" data-data='{"ctm":[1.673203,0.000000,0.000000,1.673203,0.000000,0.000000]}'></div></div></div>
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