lehrkraefte:blc:miniaufgaben:kw22-2024 [https://fginfo.ksbg.ch Fachgruppe Informatik der KSBG]

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  miniaufgabe.js
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==== 27. Mai 2024 bis 31. Mai 2024 ====
=== Dienstag 28. Mai 2024 ===
Zeigen Sie, dass von allen Rechtecken mit gleichem Flächeninhalt das Quadrat jenes mit minimalem Umfang ist.
<hidden Lösung>
Sei $A$ die konstante Fläche der Rechtecke und $x$ die Seitenlänge eines dieser Rechtecke. Also ist $y=\frac{A}{x}$ die andere Seitenlänge. Damit ist der Umfang $U(x)=2(x+y) = 2\left(x+\frac{A}{x}\right)$. Wir suchen $x$ so, dass $U(x)$ minimal ist. Dazu bestimmen wir die Extremalstellen durch Nullsetzen der Ableitung $U'(x)=0$:

$$\begin{align*}
  U'(x) = 2\left(1-\frac{A}{x^2}\right) & = 0 \\
  1 & = \frac{A}{x^2} && x \neq 0 \\
  x^2 & = A && x>0 \\
  x & = \sqrt{A}
\end{align*}$$
Für $x$ nahe bei Null, sowie für grosse $x$ wird der Umfang beliebig gross. Es muss sich also um das globale Minimum handeln. 

Alternativ könnte man dafür die zweite Ableitung $U''(x) = 2\frac{A}{x^3}$ betrachten, die immer positiv ist (für positive $x$). Damit «macht der Graph immer eine Linkskurve» und wir haben ein echtes Minimum gefunden (und keinen Sattelpunkt).
  
  
Wenn $x=\sqrt{A}$ ist natürlich auch $y=\sqrt{A}$. So das Rechteck mit minimalen Umfang bei gegebener Fläche ein Quadrat.
</hidden>
=== Mittwoch 29. Mai 2024 ===
Gegeben ist folgende Tabelle einer Kurvendiskussion. Zeichnen Sie die Punkte mit Tangenten ein und skzizieren Sie dann den Graphen unter der Annahmne, dass die dritte Ableitung von Null verschieden ist.<JS>miniAufgabe("#exotable-to-graph","#soltable-to-graph",
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font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 713.19778 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 752.19778 673)\"><tspan x=\"0\" y=\"0\">2</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 889.59978 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 928.59978 673)\"><tspan x=\"0 33.179676 50.819923 68.459778 86.100021 103.73988 121.25987\" y=\"0\">1123456</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1133.7988 23.801)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 23.801)\"><tspan x=\"0\" y=\"0\">4</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1133.7988 199.602)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 199.602)\"><tspan x=\"0\" y=\"0\">3</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1133.7988 376)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 376)\"><tspan x=\"0\" y=\"0\">2</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1133.7988 551.801)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 551.801)\"><tspan x=\"0\" y=\"0\">1</tspan><tspan x=\"-3.9\" y=\"-35.039799\">1</tspan><tspan x=\"-3.9\" y=\"-52.68\">2</tspan><tspan x=\"-3.9\" y=\"-70.259697\">3</tspan><tspan x=\"-3.9\" y=\"-87.839798\">4</tspan></text><text font-family=\"CMMI10\" font-size=\"9.96264\" transform=\"matrix(10 0 0 -10 2200.5988 678.398)\"><tspan x=\"0\" y=\"0\">x</tspan><tspan x=\"-108.24\" y=\"-83.400002\">y</tspan></text></g></svg>\n"], ["<table border=1><tr><td>$x$</td><td> &nbsp; -5.5 &nbsp; </td><td> &nbsp; 0.3 &nbsp; </td><td> &nbsp; -2.0 &nbsp; </td><td> &nbsp; 4.0 &nbsp; </td><td> &nbsp; 0.0 &nbsp; </td></tr>\n<tr><td>$f(x)$</td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; -3.0 &nbsp; </td><td> &nbsp; 2.0 &nbsp; </td><td> &nbsp; -1.0 &nbsp; </td></tr>\n<tr><td>$f'(x)$</td><td> &nbsp; -4.0 &nbsp; </td><td> &nbsp; 2.0 &nbsp; </td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; 5.0 &nbsp; </td></tr>\n<tr><td>$f''(x)$</td><td> &nbsp; $>0$ &nbsp; </td><td> &nbsp; $<0$ &nbsp; </td><td> &nbsp; $>0$ &nbsp; </td><td> &nbsp; 0 &nbsp; </td><td> &nbsp; 0 &nbsp; </td></tr>\n", "<svg height=\"209.38667\" viewBox=\"0 0 303.02667 209.38667\" width=\"303.02667\" xmlns=\"http://www.w3.org/2000/svg\"><g transform=\"matrix(.13333333 0 0 -.13333333 0 209.38667)\"><g fill=\"none\" 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d=\"m1449.29 1094.64h704.35\" style=\"fill:none;stroke:#000;stroke-width:5;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:10\"/><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 8.80078 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 47.80078 673)\"><tspan x=\"0\" y=\"0\">6</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 185.19878 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 224.19878 673)\"><tspan x=\"0\" y=\"0\">5</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 361.60078 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 400.60078 673)\"><tspan x=\"0\" y=\"0\">4</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 536.79978 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 575.79978 673)\"><tspan x=\"0\" y=\"0\">3</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 713.19778 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 752.19778 673)\"><tspan x=\"0\" y=\"0\">2</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 889.59978 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 928.59978 673)\"><tspan x=\"0 33.179676 50.819923 68.459778 86.100021 103.73988 121.25987\" y=\"0\">1123456</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1133.7988 23.801)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 23.801)\"><tspan x=\"0\" y=\"0\">4</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1133.7988 199.602)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 199.602)\"><tspan x=\"0\" y=\"0\">3</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1133.7988 376)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 376)\"><tspan x=\"0\" y=\"0\">2</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1133.7988 551.801)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 551.801)\"><tspan x=\"0\" y=\"0\">1</tspan><tspan x=\"-3.9\" y=\"-35.039799\">1</tspan><tspan x=\"-3.9\" y=\"-52.68\">2</tspan><tspan x=\"-3.9\" y=\"-70.259697\">3</tspan><tspan x=\"-3.9\" y=\"-87.839798\">4</tspan></text><text font-family=\"CMMI10\" font-size=\"9.96264\" transform=\"matrix(10 0 0 -10 2200.5988 678.398)\"><tspan x=\"0\" y=\"0\">x</tspan><tspan x=\"-108.24\" y=\"-83.400002\">y</tspan></text></g></svg>\n"], ["<table border=1><tr><td>$x$</td><td> &nbsp; 5.5 &nbsp; </td><td> &nbsp; -0.3 &nbsp; </td><td> &nbsp; 2.0 &nbsp; </td><td> &nbsp; -4.0 &nbsp; </td><td> &nbsp; 0.0 &nbsp; </td></tr>\n<tr><td>$f(x)$</td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; 3.0 &nbsp; </td><td> &nbsp; -2.0 &nbsp; </td><td> &nbsp; 1.0 &nbsp; </td></tr>\n<tr><td>$f'(x)$</td><td> &nbsp; -4.0 &nbsp; </td><td> &nbsp; 2.0 &nbsp; </td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; 5.0 &nbsp; </td></tr>\n<tr><td>$f''(x)$</td><td> &nbsp; $<0$ &nbsp; </td><td> &nbsp; $>0$ &nbsp; </td><td> &nbsp; $<0$ &nbsp; </td><td> &nbsp; 0 &nbsp; </td><td> &nbsp; 0 &nbsp; </td></tr>\n", "<svg height=\"209.38667\" viewBox=\"0 0 303.02667 209.38667\" width=\"303.02667\" xmlns=\"http://www.w3.org/2000/svg\"><g transform=\"matrix(.13333333 0 0 -.13333333 0 209.38667)\"><g fill=\"none\" stroke-linecap=\"round\" stroke-linejoin=\"round\" stroke-miterlimit=\"10\" stroke-width=\"5\"><path d=\"m40.5938 38.1172v1408.7028\" stroke=\"#808080\"/><path d=\"m216.68 38.1172v1408.7028\" stroke=\"#808080\"/><path d=\"m392.77 38.1172v1408.7028\" stroke=\"#808080\"/><path d=\"m568.855 38.1172v1408.7028\" stroke=\"#808080\"/><path d=\"m744.941 38.1172v1408.7028\" stroke=\"#808080\"/><path d=\"m921.031 38.1172v1408.7028\" stroke=\"#808080\"/><path d=\"m1273.2 38.1172v1408.7028\" stroke=\"#808080\"/><path d=\"m1449.29 38.1172v1408.7028\" stroke=\"#808080\"/><path d=\"m1625.38 38.1172v1408.7028\" stroke=\"#808080\"/><path d=\"m1801.46 38.1172v1408.7028\" stroke=\"#808080\"/><path d=\"m1977.55 38.1172v1408.7028\" 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0-14.586 11.83-26.41 26.42-26.41 14.58 0 26.41 11.824 26.41 26.41z\" style=\"fill:none;stroke:#000;stroke-width:5;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:10\"/><path d=\"m1980.18 1084.13 170.83-683.325\" style=\"fill:none;stroke:#000;stroke-width:5;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:10\"/><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 8.80078 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 47.80078 673)\"><tspan x=\"0\" y=\"0\">6</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 185.19878 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 224.19878 673)\"><tspan x=\"0\" y=\"0\">5</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 361.60078 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 400.60078 673)\"><tspan x=\"0\" y=\"0\">4</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 536.79978 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 575.79978 673)\"><tspan x=\"0\" y=\"0\">3</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 713.19778 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 752.19778 673)\"><tspan x=\"0\" y=\"0\">2</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 889.59978 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 928.59978 673)\"><tspan x=\"0 33.179676 50.819923 68.459778 86.100021 103.73988 121.25987\" y=\"0\">1123456</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1133.7988 23.801)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 23.801)\"><tspan x=\"0\" y=\"0\">4</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1133.7988 199.602)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 199.602)\"><tspan x=\"0\" y=\"0\">3</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1133.7988 376)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 376)\"><tspan x=\"0\" y=\"0\">2</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1133.7988 551.801)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 551.801)\"><tspan x=\"0\" y=\"0\">1</tspan><tspan x=\"-3.9\" y=\"-35.039799\">1</tspan><tspan x=\"-3.9\" y=\"-52.68\">2</tspan><tspan x=\"-3.9\" y=\"-70.259697\">3</tspan><tspan x=\"-3.9\" y=\"-87.839798\">4</tspan></text><text font-family=\"CMMI10\" font-size=\"9.96264\" transform=\"matrix(10 0 0 -10 2200.5988 678.398)\"><tspan x=\"0\" y=\"0\">x</tspan><tspan x=\"-108.24\" y=\"-83.400002\">y</tspan></text></g></svg>\n"], ["<table border=1><tr><td>$x$</td><td> &nbsp; 5.5 &nbsp; </td><td> &nbsp; -0.3 &nbsp; </td><td> &nbsp; 2.0 &nbsp; </td><td> &nbsp; -4.0 &nbsp; </td><td> &nbsp; 0.0 &nbsp; </td></tr>\n<tr><td>$f(x)$</td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; -3.0 &nbsp; </td><td> &nbsp; 2.0 &nbsp; </td><td> &nbsp; -1.0 &nbsp; </td></tr>\n<tr><td>$f'(x)$</td><td> &nbsp; 4.0 &nbsp; </td><td> &nbsp; -2.0 &nbsp; </td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; -5.0 &nbsp; </td></tr>\n<tr><td>$f''(x)$</td><td> &nbsp; $>0$ &nbsp; </td><td> &nbsp; $<0$ &nbsp; </td><td> &nbsp; $>0$ &nbsp; </td><td> &nbsp; 0 &nbsp; </td><td> &nbsp; 0 &nbsp; </td></tr>\n", "<svg height=\"209.38667\" viewBox=\"0 0 303.02667 209.38667\" width=\"303.02667\" xmlns=\"http://www.w3.org/2000/svg\"><g transform=\"matrix(.13333333 0 0 -.13333333 0 209.38667)\"><g fill=\"none\" stroke-linecap=\"round\" stroke-linejoin=\"round\" stroke-miterlimit=\"10\" stroke-width=\"5\"><path d=\"m40.5938 38.1172v1408.7028\" stroke=\"#808080\"/><path d=\"m216.68 38.1172v1408.7028\" stroke=\"#808080\"/><path d=\"m392.77 38.1172v1408.7028\" stroke=\"#808080\"/><path d=\"m568.855 38.1172v1408.7028\" stroke=\"#808080\"/><path d=\"m744.941 38.1172v1408.7028\" stroke=\"#808080\"/><path d=\"m921.031 38.1172v1408.7028\" stroke=\"#808080\"/><path d=\"m1273.2 38.1172v1408.7028\" stroke=\"#808080\"/><path d=\"m1449.29 38.1172v1408.7028\" 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font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 224.19878 673)\"><tspan x=\"0\" y=\"0\">5</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 361.60078 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 400.60078 673)\"><tspan x=\"0\" y=\"0\">4</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 536.79978 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 575.79978 673)\"><tspan x=\"0\" y=\"0\">3</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 713.19778 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 752.19778 673)\"><tspan x=\"0\" y=\"0\">2</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 889.59978 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 928.59978 673)\"><tspan x=\"0 33.179676 50.819923 68.459778 86.100021 103.73988 121.25987\" y=\"0\">1123456</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1133.7988 23.801)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 23.801)\"><tspan x=\"0\" y=\"0\">4</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1133.7988 199.602)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 199.602)\"><tspan x=\"0\" y=\"0\">3</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1133.7988 376)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 376)\"><tspan x=\"0\" y=\"0\">2</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1133.7988 551.801)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 551.801)\"><tspan x=\"0\" y=\"0\">1</tspan><tspan x=\"-3.9\" y=\"-35.039799\">1</tspan><tspan x=\"-3.9\" y=\"-52.68\">2</tspan><tspan x=\"-3.9\" y=\"-70.259697\">3</tspan><tspan x=\"-3.9\" y=\"-87.839798\">4</tspan></text><text font-family=\"CMMI10\" font-size=\"9.96264\" transform=\"matrix(10 0 0 -10 2200.5988 678.398)\"><tspan x=\"0\" y=\"0\">x</tspan><tspan x=\"-108.24\" y=\"-83.400002\">y</tspan></text></g></svg>\n"], ["<table border=1><tr><td>$x$</td><td> &nbsp; -0.3 &nbsp; </td><td> &nbsp; 5.0 &nbsp; </td><td> &nbsp; 2.0 &nbsp; </td><td> &nbsp; -4.0 &nbsp; </td><td> &nbsp; 0.0 &nbsp; </td></tr>\n<tr><td>$f(x)$</td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; -3.0 &nbsp; </td><td> &nbsp; 2.0 &nbsp; </td><td> &nbsp; -1.0 &nbsp; </td></tr>\n<tr><td>$f'(x)$</td><td> &nbsp; -2.0 &nbsp; </td><td> &nbsp; 2.0 &nbsp; </td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; -0.2 &nbsp; </td><td> &nbsp; -4.0 &nbsp; </td></tr>\n<tr><td>$f''(x)$</td><td> &nbsp; $<0$ &nbsp; </td><td> &nbsp; $>0$ &nbsp; </td><td> &nbsp; $>0$ &nbsp; </td><td> &nbsp; 0 &nbsp; </td><td> &nbsp; 0 &nbsp; </td></tr>\n", "<svg height=\"209.38667\" viewBox=\"0 0 303.02667 209.38667\" width=\"303.02667\" xmlns=\"http://www.w3.org/2000/svg\"><g transform=\"matrix(.13333333 0 0 -.13333333 0 209.38667)\"><g fill=\"none\" stroke-linecap=\"round\" stroke-linejoin=\"round\" stroke-miterlimit=\"10\" stroke-width=\"5\"><path d=\"m40.5938 38.1172v1408.7028\" stroke=\"#808080\"/><path d=\"m216.68 38.1172v1408.7028\" stroke=\"#808080\"/><path d=\"m392.77 38.1172v1408.7028\" stroke=\"#808080\"/><path d=\"m568.855 38.1172v1408.7028\" 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y=\"0\">6</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 185.19878 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 224.19878 673)\"><tspan x=\"0\" y=\"0\">5</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 361.60078 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 400.60078 673)\"><tspan x=\"0\" y=\"0\">4</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 536.79978 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 575.79978 673)\"><tspan x=\"0\" y=\"0\">3</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 713.19778 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 752.19778 673)\"><tspan x=\"0\" y=\"0\">2</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 889.59978 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 928.59978 673)\"><tspan x=\"0 33.179676 50.819923 68.459778 86.100021 103.73988 121.25987\" y=\"0\">1123456</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1133.7988 23.801)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 23.801)\"><tspan x=\"0\" y=\"0\">4</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1133.7988 199.602)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 199.602)\"><tspan x=\"0\" y=\"0\">3</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1133.7988 376)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 376)\"><tspan x=\"0\" y=\"0\">2</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1133.7988 551.801)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 551.801)\"><tspan x=\"0\" y=\"0\">1</tspan><tspan x=\"-3.9\" y=\"-35.039799\">1</tspan><tspan x=\"-3.9\" y=\"-52.68\">2</tspan><tspan x=\"-3.9\" y=\"-70.259697\">3</tspan><tspan x=\"-3.9\" y=\"-87.839798\">4</tspan></text><text font-family=\"CMMI10\" font-size=\"9.96264\" transform=\"matrix(10 0 0 -10 2200.5988 678.398)\"><tspan x=\"0\" y=\"0\">x</tspan><tspan x=\"-108.24\" y=\"-83.400002\">y</tspan></text></g></svg>\n"], ["<table border=1><tr><td>$x$</td><td> &nbsp; -0.3 &nbsp; </td><td> &nbsp; 5.0 &nbsp; </td><td> &nbsp; 2.0 &nbsp; </td><td> &nbsp; -4.0 &nbsp; </td><td> &nbsp; 0.0 &nbsp; </td></tr>\n<tr><td>$f(x)$</td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; 3.0 &nbsp; </td><td> &nbsp; -2.0 &nbsp; </td><td> &nbsp; 1.0 &nbsp; </td></tr>\n<tr><td>$f'(x)$</td><td> &nbsp; 2.0 &nbsp; </td><td> &nbsp; -2.0 &nbsp; </td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; 0.2 &nbsp; </td><td> &nbsp; 4.0 &nbsp; </td></tr>\n<tr><td>$f''(x)$</td><td> &nbsp; $>0$ &nbsp; </td><td> &nbsp; $<0$ &nbsp; </td><td> &nbsp; $<0$ &nbsp; </td><td> &nbsp; 0 &nbsp; </td><td> &nbsp; 0 &nbsp; </td></tr>\n", "<svg height=\"209.38667\" viewBox=\"0 0 303.02667 209.38667\" width=\"303.02667\" xmlns=\"http://www.w3.org/2000/svg\"><g transform=\"matrix(.13333333 0 0 -.13333333 0 209.38667)\"><g fill=\"none\" stroke-linecap=\"round\" stroke-linejoin=\"round\" stroke-miterlimit=\"10\" stroke-width=\"5\"><path d=\"m40.5938 38.1172v1408.7028\" 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1270.73h704.34\" style=\"fill:none;stroke:#000;stroke-width:5;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:10\"/><path d=\"m1977.55 742.465c109.16-218.313 145.86-462.504 176.09-704.3478\" style=\"fill:none;stroke:#000;stroke-width:5;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:10\"/><path d=\"m2003.97 742.465c0 14.59-11.83 26.414-26.42 26.414s-26.41-11.824-26.41-26.414c0-14.586 11.82-26.41 26.41-26.41s26.42 11.824 26.42 26.41z\" style=\"fill:none;stroke:#000;stroke-width:5;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:10\"/><path d=\"m1820.06 1057.46 314.99-629.987\" style=\"fill:none;stroke:#000;stroke-width:5;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:10\"/><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 8.80078 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 47.80078 673)\"><tspan x=\"0\" y=\"0\">6</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 185.19878 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 224.19878 673)\"><tspan x=\"0\" y=\"0\">5</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 361.60078 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 400.60078 673)\"><tspan x=\"0\" y=\"0\">4</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 536.79978 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 575.79978 673)\"><tspan x=\"0\" y=\"0\">3</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 713.19778 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 752.19778 673)\"><tspan x=\"0\" y=\"0\">2</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 889.59978 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 928.59978 673)\"><tspan x=\"0 33.179676 50.819923 68.459778 86.100021 103.73988 121.25987\" y=\"0\">1123456</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1133.7988 23.801)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 23.801)\"><tspan x=\"0\" y=\"0\">4</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1133.7988 199.602)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 199.602)\"><tspan x=\"0\" y=\"0\">3</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1133.7988 376)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 376)\"><tspan x=\"0\" y=\"0\">2</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1133.7988 551.801)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 551.801)\"><tspan x=\"0\" y=\"0\">1</tspan><tspan x=\"-3.9\" y=\"-35.039799\">1</tspan><tspan x=\"-3.9\" y=\"-52.68\">2</tspan><tspan x=\"-3.9\" y=\"-70.259697\">3</tspan><tspan x=\"-3.9\" y=\"-87.839798\">4</tspan></text><text font-family=\"CMMI10\" font-size=\"9.96264\" transform=\"matrix(10 0 0 -10 2200.5988 678.398)\"><tspan x=\"0\" y=\"0\">x</tspan><tspan x=\"-108.24\" y=\"-83.400002\">y</tspan></text></g></svg>\n"], ["<table border=1><tr><td>$x$</td><td> &nbsp; 0.3 &nbsp; </td><td> &nbsp; -5.0 &nbsp; </td><td> &nbsp; -2.0 &nbsp; </td><td> &nbsp; 4.0 &nbsp; </td><td> &nbsp; 0.0 &nbsp; </td></tr>\n<tr><td>$f(x)$</td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; -3.0 &nbsp; </td><td> &nbsp; 2.0 &nbsp; </td><td> &nbsp; -1.0 &nbsp; </td></tr>\n<tr><td>$f'(x)$</td><td> &nbsp; 2.0 &nbsp; </td><td> &nbsp; -2.0 &nbsp; </td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; 0.2 &nbsp; </td><td> &nbsp; 4.0 &nbsp; </td></tr>\n<tr><td>$f''(x)$</td><td> &nbsp; $<0$ &nbsp; </td><td> &nbsp; $>0$ &nbsp; </td><td> &nbsp; $>0$ &nbsp; </td><td> &nbsp; 0 &nbsp; </td><td> &nbsp; 0 &nbsp; </td></tr>\n", "<svg height=\"209.38667\" viewBox=\"0 0 303.02667 209.38667\" width=\"303.02667\" xmlns=\"http://www.w3.org/2000/svg\"><g transform=\"matrix(.13333333 0 0 -.13333333 0 209.38667)\"><g fill=\"none\" stroke-linecap=\"round\" stroke-linejoin=\"round\" stroke-miterlimit=\"10\" stroke-width=\"5\"><path d=\"m40.5938 38.1172v1408.7028\" 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style=\"fill:none;stroke:#000;stroke-width:5;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:10\"/><path d=\"m992.445 427.473 314.995 629.987\" style=\"fill:none;stroke:#000;stroke-width:5;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:10\"/><path d=\"m1801.46 1094.64c175.99 35.2 308.4 177.06 352.18 352.18\" style=\"fill:none;stroke:#000;stroke-width:5;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:10\"/><path d=\"m1827.88 1094.64c0 14.59-11.83 26.41-26.42 26.41-14.58 0-26.41-11.82-26.41-26.41s11.83-26.41 26.41-26.41c14.59 0 26.42 11.82 26.42 26.41z\" style=\"fill:none;stroke:#000;stroke-width:5;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:10\"/><path d=\"m1456.13 1025.57 690.67 138.14\" style=\"fill:none;stroke:#000;stroke-width:5;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:10\"/><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 8.80078 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 47.80078 673)\"><tspan x=\"0\" y=\"0\">6</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 185.19878 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 224.19878 673)\"><tspan x=\"0\" y=\"0\">5</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 361.60078 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 400.60078 673)\"><tspan x=\"0\" y=\"0\">4</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 536.79978 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 575.79978 673)\"><tspan x=\"0\" y=\"0\">3</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 713.19778 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 752.19778 673)\"><tspan x=\"0\" y=\"0\">2</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 889.59978 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 928.59978 673)\"><tspan x=\"0 33.179676 50.819923 68.459778 86.100021 103.73988 121.25987\" y=\"0\">1123456</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1133.7988 23.801)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 23.801)\"><tspan x=\"0\" y=\"0\">4</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1133.7988 199.602)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 199.602)\"><tspan x=\"0\" y=\"0\">3</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1133.7988 376)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 376)\"><tspan x=\"0\" y=\"0\">2</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1133.7988 551.801)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 551.801)\"><tspan x=\"0\" y=\"0\">1</tspan><tspan x=\"-3.9\" y=\"-35.039799\">1</tspan><tspan x=\"-3.9\" y=\"-52.68\">2</tspan><tspan x=\"-3.9\" y=\"-70.259697\">3</tspan><tspan x=\"-3.9\" y=\"-87.839798\">4</tspan></text><text font-family=\"CMMI10\" font-size=\"9.96264\" transform=\"matrix(10 0 0 -10 2200.5988 678.398)\"><tspan x=\"0\" y=\"0\">x</tspan><tspan x=\"-108.24\" y=\"-83.400002\">y</tspan></text></g></svg>\n"], ["<table border=1><tr><td>$x$</td><td> &nbsp; 0.3 &nbsp; </td><td> &nbsp; -5.0 &nbsp; </td><td> &nbsp; -2.0 &nbsp; </td><td> &nbsp; 4.0 &nbsp; </td><td> &nbsp; 0.0 &nbsp; </td></tr>\n<tr><td>$f(x)$</td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; 3.0 &nbsp; </td><td> &nbsp; -2.0 &nbsp; </td><td> &nbsp; 1.0 &nbsp; </td></tr>\n<tr><td>$f'(x)$</td><td> &nbsp; -2.0 &nbsp; </td><td> &nbsp; 2.0 &nbsp; </td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; -0.2 &nbsp; </td><td> &nbsp; -4.0 &nbsp; </td></tr>\n<tr><td>$f''(x)$</td><td> &nbsp; $>0$ &nbsp; </td><td> &nbsp; $<0$ &nbsp; </td><td> &nbsp; $<0$ &nbsp; </td><td> &nbsp; 0 &nbsp; </td><td> &nbsp; 0 &nbsp; </td></tr>\n", "<svg height=\"209.38667\" viewBox=\"0 0 303.02667 209.38667\" width=\"303.02667\" xmlns=\"http://www.w3.org/2000/svg\"><g transform=\"matrix(.13333333 0 0 -.13333333 0 209.38667)\"><g 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style=\"fill:none;stroke:#000;stroke-width:5;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:10\"/><path d=\"m1456.13 459.359 690.67-138.136\" style=\"fill:none;stroke:#000;stroke-width:5;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:10\"/><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 8.80078 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 47.80078 673)\"><tspan x=\"0\" y=\"0\">6</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 185.19878 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 224.19878 673)\"><tspan x=\"0\" y=\"0\">5</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 361.60078 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 400.60078 673)\"><tspan x=\"0\" y=\"0\">4</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 536.79978 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 575.79978 673)\"><tspan x=\"0\" y=\"0\">3</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 713.19778 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 752.19778 673)\"><tspan x=\"0\" y=\"0\">2</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 889.59978 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 928.59978 673)\"><tspan x=\"0 33.179676 50.819923 68.459778 86.100021 103.73988 121.25987\" y=\"0\">1123456</tspan></text><text font-family=\"CMSY10\" 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transform=\"matrix(10 0 0 -10 1172.7988 551.801)\"><tspan x=\"0\" y=\"0\">1</tspan><tspan x=\"-3.9\" y=\"-35.039799\">1</tspan><tspan x=\"-3.9\" y=\"-52.68\">2</tspan><tspan x=\"-3.9\" y=\"-70.259697\">3</tspan><tspan x=\"-3.9\" y=\"-87.839798\">4</tspan></text><text font-family=\"CMMI10\" font-size=\"9.96264\" transform=\"matrix(10 0 0 -10 2200.5988 678.398)\"><tspan x=\"0\" y=\"0\">x</tspan><tspan x=\"-108.24\" y=\"-83.400002\">y</tspan></text></g></svg>\n"], ["<table border=1><tr><td>$x$</td><td> &nbsp; -5.0 &nbsp; </td><td> &nbsp; -3.0 &nbsp; </td><td> &nbsp; 3.0 &nbsp; </td><td> &nbsp; -4.0 &nbsp; </td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; -2.5 &nbsp; </td></tr>\n<tr><td>$f(x)$</td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; 1.0 &nbsp; </td><td> &nbsp; -4.0 &nbsp; </td><td> &nbsp; -2.0 &nbsp; </td></tr>\n<tr><td>$f'(x)$</td><td> &nbsp; 2.0 &nbsp; </td><td> &nbsp; -2.0 &nbsp; </td><td> &nbsp; 6.0 &nbsp; </td><td> &nbsp; 0.0 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26.414s-26.42-11.824-26.42-26.414c0-14.586 11.83-26.41 26.42-26.41s26.41 11.824 26.41 26.41z\" style=\"fill:none;stroke:#000;stroke-width:5;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:10\"/><path d=\"m1567.48 395.082 115.8 694.768\" style=\"fill:none;stroke:#000;stroke-width:5;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:10\"/><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 8.80078 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 47.80078 673)\"><tspan x=\"0\" y=\"0\">6</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 185.19878 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 224.19878 673)\"><tspan x=\"0\" y=\"0\">5</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 361.60078 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 400.60078 673)\"><tspan x=\"0\" y=\"0\">4</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 536.79978 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 575.79978 673)\"><tspan x=\"0\" y=\"0\">3</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 713.19778 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 752.19778 673)\"><tspan x=\"0\" y=\"0\">2</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 889.59978 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 928.59978 673)\"><tspan x=\"0 33.179676 50.819923 68.459778 86.100021 103.73988 121.25987\" y=\"0\">1123456</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1133.7988 23.801)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 23.801)\"><tspan x=\"0\" y=\"0\">4</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1133.7988 199.602)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 199.602)\"><tspan x=\"0\" y=\"0\">3</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1133.7988 376)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 376)\"><tspan x=\"0\" y=\"0\">2</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1133.7988 551.801)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 551.801)\"><tspan x=\"0\" y=\"0\">1</tspan><tspan x=\"-3.9\" y=\"-35.039799\">1</tspan><tspan x=\"-3.9\" y=\"-52.68\">2</tspan><tspan x=\"-3.9\" y=\"-70.259697\">3</tspan><tspan x=\"-3.9\" y=\"-87.839798\">4</tspan></text><text font-family=\"CMMI10\" font-size=\"9.96264\" transform=\"matrix(10 0 0 -10 2200.5988 678.398)\"><tspan x=\"0\" y=\"0\">x</tspan><tspan x=\"-108.24\" y=\"-83.400002\">y</tspan></text></g></svg>\n"], ["<table border=1><tr><td>$x$</td><td> &nbsp; -5.0 &nbsp; </td><td> &nbsp; -3.0 &nbsp; </td><td> &nbsp; 3.0 &nbsp; </td><td> &nbsp; -4.0 &nbsp; </td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; -2.5 &nbsp; </td></tr>\n<tr><td>$f(x)$</td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; -1.0 &nbsp; </td><td> &nbsp; 4.0 &nbsp; </td><td> &nbsp; 2.0 &nbsp; </td></tr>\n<tr><td>$f'(x)$</td><td> &nbsp; -2.0 &nbsp; </td><td> &nbsp; 2.0 &nbsp; </td><td> &nbsp; -6.0 &nbsp; </td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; 8.0 &nbsp; </td></tr>\n<tr><td>$f''(x)$</td><td> &nbsp; $>0$ &nbsp; </td><td> &nbsp; $>0$ &nbsp; </td><td> &nbsp; 0 &nbsp; </td><td> &nbsp; $>0$ &nbsp; </td><td> &nbsp; $<0$ &nbsp; </td><td> &nbsp; 0 &nbsp; </td></tr>\n", "<svg height=\"209.38667\" viewBox=\"0 0 303.02667 209.38667\" width=\"303.02667\" xmlns=\"http://www.w3.org/2000/svg\"><g transform=\"matrix(.13333333 0 0 -.13333333 0 209.38667)\"><g fill=\"none\" stroke-linecap=\"round\" stroke-linejoin=\"round\" stroke-miterlimit=\"10\" stroke-width=\"5\"><path d=\"m40.5938 38.1172v1408.7028\" stroke=\"#808080\"/><path d=\"m216.68 38.1172v1408.7028\" stroke=\"#808080\"/><path d=\"m392.77 38.1172v1408.7028\" stroke=\"#808080\"/><path d=\"m568.855 38.1172v1408.7028\" stroke=\"#808080\"/><path d=\"m744.941 38.1172v1408.7028\" stroke=\"#808080\"/><path d=\"m921.031 38.1172v1408.7028\" 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style=\"fill:none;stroke:#000;stroke-width:5;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:10\"/><path d=\"m1567.48 1089.85 115.8-694.768\" style=\"fill:none;stroke:#000;stroke-width:5;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:10\"/><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 8.80078 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 47.80078 673)\"><tspan x=\"0\" y=\"0\">6</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 185.19878 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 224.19878 673)\"><tspan x=\"0\" y=\"0\">5</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 361.60078 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 400.60078 673)\"><tspan x=\"0\" y=\"0\">4</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 536.79978 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 575.79978 673)\"><tspan x=\"0\" y=\"0\">3</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 713.19778 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 752.19778 673)\"><tspan x=\"0\" y=\"0\">2</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 889.59978 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 928.59978 673)\"><tspan x=\"0 33.179676 50.819923 68.459778 86.100021 103.73988 121.25987\" y=\"0\">1123456</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1133.7988 23.801)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 23.801)\"><tspan x=\"0\" y=\"0\">4</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1133.7988 199.602)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 199.602)\"><tspan x=\"0\" y=\"0\">3</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1133.7988 376)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 376)\"><tspan x=\"0\" y=\"0\">2</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1133.7988 551.801)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 551.801)\"><tspan x=\"0\" y=\"0\">1</tspan><tspan x=\"-3.9\" y=\"-35.039799\">1</tspan><tspan x=\"-3.9\" y=\"-52.68\">2</tspan><tspan x=\"-3.9\" y=\"-70.259697\">3</tspan><tspan x=\"-3.9\" y=\"-87.839798\">4</tspan></text><text font-family=\"CMMI10\" font-size=\"9.96264\" transform=\"matrix(10 0 0 -10 2200.5988 678.398)\"><tspan x=\"0\" y=\"0\">x</tspan><tspan x=\"-108.24\" y=\"-83.400002\">y</tspan></text></g></svg>\n"], ["<table border=1><tr><td>$x$</td><td> &nbsp; 5.0 &nbsp; </td><td> &nbsp; 3.0 &nbsp; </td><td> &nbsp; -3.0 &nbsp; </td><td> &nbsp; 4.0 &nbsp; </td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; 2.5 &nbsp; </td></tr>\n<tr><td>$f(x)$</td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; 1.0 &nbsp; </td><td> &nbsp; -4.0 &nbsp; </td><td> &nbsp; -2.0 &nbsp; </td></tr>\n<tr><td>$f'(x)$</td><td> &nbsp; -2.0 &nbsp; </td><td> &nbsp; 2.0 &nbsp; </td><td> &nbsp; -6.0 &nbsp; </td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; 8.0 &nbsp; </td></tr>\n<tr><td>$f''(x)$</td><td> &nbsp; $<0$ &nbsp; </td><td> &nbsp; $<0$ &nbsp; </td><td> &nbsp; 0 &nbsp; </td><td> &nbsp; $<0$ &nbsp; </td><td> &nbsp; $>0$ &nbsp; </td><td> &nbsp; 0 &nbsp; </td></tr>\n", "<svg height=\"209.38667\" viewBox=\"0 0 303.02667 209.38667\" width=\"303.02667\" xmlns=\"http://www.w3.org/2000/svg\"><g transform=\"matrix(.13333333 0 0 -.13333333 0 209.38667)\"><g fill=\"none\" stroke-linecap=\"round\" stroke-linejoin=\"round\" stroke-miterlimit=\"10\" stroke-width=\"5\"><path d=\"m40.5938 38.1172v1408.7028\" stroke=\"#808080\"/><path d=\"m216.68 38.1172v1408.7028\" stroke=\"#808080\"/><path d=\"m392.77 38.1172v1408.7028\" stroke=\"#808080\"/><path d=\"m568.855 38.1172v1408.7028\" stroke=\"#808080\"/><path d=\"m744.941 38.1172v1408.7028\" stroke=\"#808080\"/><path d=\"m921.031 38.1172v1408.7028\" stroke=\"#808080\"/><path d=\"m1273.2 38.1172v1408.7028\" stroke=\"#808080\"/><path d=\"m1449.29 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style=\"fill:none;stroke:#000;stroke-width:5;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:10\"/><path d=\"m1820.06 1057.46 314.99-629.987\" style=\"fill:none;stroke:#000;stroke-width:5;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:10\"/><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 8.80078 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 47.80078 673)\"><tspan x=\"0\" y=\"0\">6</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 185.19878 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 224.19878 673)\"><tspan x=\"0\" y=\"0\">5</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 361.60078 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 400.60078 673)\"><tspan x=\"0\" y=\"0\">4</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 536.79978 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 575.79978 673)\"><tspan x=\"0\" y=\"0\">3</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 713.19778 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 752.19778 673)\"><tspan x=\"0\" y=\"0\">2</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 889.59978 673)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 928.59978 673)\"><tspan x=\"0 33.179676 50.819923 68.459778 86.100021 103.73988 121.25987\" y=\"0\">1123456</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1133.7988 23.801)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 23.801)\"><tspan x=\"0\" y=\"0\">4</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1133.7988 199.602)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 199.602)\"><tspan x=\"0\" y=\"0\">3</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1133.7988 376)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 376)\"><tspan x=\"0\" y=\"0\">2</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1133.7988 551.801)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 551.801)\"><tspan x=\"0\" y=\"0\">1</tspan><tspan x=\"-3.9\" y=\"-35.039799\">1</tspan><tspan x=\"-3.9\" y=\"-52.68\">2</tspan><tspan x=\"-3.9\" y=\"-70.259697\">3</tspan><tspan x=\"-3.9\" y=\"-87.839798\">4</tspan></text><text font-family=\"CMMI10\" font-size=\"9.96264\" transform=\"matrix(10 0 0 -10 2200.5988 678.398)\"><tspan x=\"0\" y=\"0\">x</tspan><tspan x=\"-108.24\" y=\"-83.400002\">y</tspan></text></g></svg>\n"], ["<table border=1><tr><td>$x$</td><td> &nbsp; 5.0 &nbsp; </td><td> &nbsp; 3.0 &nbsp; </td><td> &nbsp; -3.0 &nbsp; </td><td> &nbsp; 4.0 &nbsp; </td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; 2.5 &nbsp; </td></tr>\n<tr><td>$f(x)$</td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; -1.0 &nbsp; </td><td> &nbsp; 4.0 &nbsp; </td><td> &nbsp; 2.0 &nbsp; </td></tr>\n<tr><td>$f'(x)$</td><td> &nbsp; 2.0 &nbsp; </td><td> &nbsp; -2.0 &nbsp; </td><td> &nbsp; 6.0 &nbsp; </td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; 0.0 &nbsp; </td><td> &nbsp; -8.0 &nbsp; </td></tr>\n<tr><td>$f''(x)$</td><td> &nbsp; $>0$ &nbsp; </td><td> &nbsp; $>0$ &nbsp; </td><td> &nbsp; 0 &nbsp; </td><td> &nbsp; $>0$ &nbsp; </td><td> &nbsp; $<0$ &nbsp; </td><td> &nbsp; 0 &nbsp; </td></tr>\n", "<svg height=\"209.38667\" viewBox=\"0 0 303.02667 209.38667\" width=\"303.02667\" xmlns=\"http://www.w3.org/2000/svg\"><g transform=\"matrix(.13333333 0 0 -.13333333 0 209.38667)\"><g fill=\"none\" stroke-linecap=\"round\" stroke-linejoin=\"round\" stroke-miterlimit=\"10\" stroke-width=\"5\"><path d=\"m40.5938 38.1172v1408.7028\" stroke=\"#808080\"/><path d=\"m216.68 38.1172v1408.7028\" stroke=\"#808080\"/><path d=\"m392.77 38.1172v1408.7028\" stroke=\"#808080\"/><path d=\"m568.855 38.1172v1408.7028\" stroke=\"#808080\"/><path d=\"m744.941 38.1172v1408.7028\" stroke=\"#808080\"/><path d=\"m921.031 38.1172v1408.7028\" stroke=\"#808080\"/><path d=\"m1273.2 38.1172v1408.7028\" stroke=\"#808080\"/><path d=\"m1449.29 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y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 23.801)\"><tspan x=\"0\" y=\"0\">4</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1133.7988 199.602)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 199.602)\"><tspan x=\"0\" y=\"0\">3</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1133.7988 376)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 376)\"><tspan x=\"0\" y=\"0\">2</tspan></text><text font-family=\"CMSY10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1133.7988 551.801)\"><tspan x=\"0\" y=\"0\">−</tspan></text><text font-family=\"CMR10\" font-size=\"4.98132\" transform=\"matrix(10 0 0 -10 1172.7988 551.801)\"><tspan x=\"0\" y=\"0\">1</tspan><tspan x=\"-3.9\" y=\"-35.039799\">1</tspan><tspan x=\"-3.9\" y=\"-52.68\">2</tspan><tspan x=\"-3.9\" y=\"-70.259697\">3</tspan><tspan x=\"-3.9\" y=\"-87.839798\">4</tspan></text><text font-family=\"CMMI10\" font-size=\"9.96264\" transform=\"matrix(10 0 0 -10 2200.5988 678.398)\"><tspan x=\"0\" y=\"0\">x</tspan><tspan x=\"-108.24\" y=\"-83.400002\">y</tspan></text></g></svg>\n"]]);
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<div style='font-size:12px;color:gray;'>ruby kurvendiskussion-mit-tabelle.rb 1</div>
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