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2.2 Lösning 3 - Versionshistorik
2026-06-21T14:49:44Z
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Taifun den 7 augusti 2014 kl. 15.07
2014-08-07T15:07:25Z
<p></p>
<table class='diff diff-contentalign-left'>
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<td colspan='2' style="background-color: white; color:black; text-align: center;">← Äldre version</td>
<td colspan='2' style="background-color: white; color:black; text-align: center;">Versionen från 7 augusti 2014 kl. 15.07</td>
</tr><tr><td colspan="2" class="diff-lineno">Rad 1:</td>
<td colspan="2" class="diff-lineno">Rad 1:</td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><big><big><math> {\Delta y \over \Delta x} = {f(0,3) - f(0,2) \over 0,3 - 0,2} = {5,1\,\cdot\, 0,3^2 - 5,1\,\cdot\, 0,2^2 \over 0,1} = {0,255 \over 0,1} </math></big></big> <math> = \, 2,55 </math></div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><big><big><math> {\Delta y \over \Delta x} = {f(0,3)<ins class="diffchange diffchange-inline">\,</ins>-<ins class="diffchange diffchange-inline">\,</ins>f(0,2) \over 0,3<ins class="diffchange diffchange-inline">\,</ins>-<ins class="diffchange diffchange-inline">\,</ins>0,2} = {5,1\,\cdot\, 0,3<ins class="diffchange diffchange-inline">\,</ins>^2 - 5,1\,\cdot\, 0,2<ins class="diffchange diffchange-inline">\,</ins>^2 \over 0,1} = {0,255 \over 0,1} </math></big></big> <math> = \, 2,55 </math></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>I tidsintervallet mellan <math> \, 0,2 </math> och <math> \, 0,3 </math> sekunder faller äpplet med en genomsnittlig hastighet av <math> \, 2,55 </math> meter per sekund.</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>I tidsintervallet mellan <math> \, 0,2 </math> och <math> \, 0,3 </math> sekunder faller äpplet med en genomsnittlig hastighet av <math> \, 2,55 </math> meter per sekund.</div></td></tr>
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Taifun
https://minidemo.mathonline.se/index.php?title=2.2_L%C3%B6sning_3&diff=12629&oldid=prev
Taifun den 7 augusti 2014 kl. 15.06
2014-08-07T15:06:48Z
<p></p>
<table class='diff diff-contentalign-left'>
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<td colspan='2' style="background-color: white; color:black; text-align: center;">← Äldre version</td>
<td colspan='2' style="background-color: white; color:black; text-align: center;">Versionen från 7 augusti 2014 kl. 15.06</td>
</tr><tr><td colspan="2" class="diff-lineno">Rad 1:</td>
<td colspan="2" class="diff-lineno">Rad 1:</td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><big><big><math> {\Delta y \over \Delta x} = {f(0,3) - f(0,2) \over 0,3 - 0,2} = {5,1\cdot 0,3^2 - 5,1\cdot 0,2^2 \over 0,1} = {0,255 \over 0,1} </math></big></big> <math> = \, 2,55 </math></div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><big><big><math> {\Delta y \over \Delta x} = {f(0,3) - f(0,2) \over 0,3 - 0,2} = {5,1<ins class="diffchange diffchange-inline">\,</ins>\cdot<ins class="diffchange diffchange-inline">\, </ins>0,3^2 - 5,1<ins class="diffchange diffchange-inline">\,</ins>\cdot<ins class="diffchange diffchange-inline">\, </ins>0,2^2 \over 0,1} = {0,255 \over 0,1} </math></big></big> <math> = \, 2,55 </math></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>I tidsintervallet mellan <math> \, 0,2 </math> och <math> \, 0,3 </math> sekunder faller äpplet med en genomsnittlig hastighet av <math> \, 2,55 </math> meter per sekund.</div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div>I tidsintervallet mellan <math> \, 0,2 </math> och <math> \, 0,3 </math> sekunder faller äpplet med en genomsnittlig hastighet av <math> \, 2,55 </math> meter per sekund.</div></td></tr>
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Taifun
https://minidemo.mathonline.se/index.php?title=2.2_L%C3%B6sning_3&diff=12628&oldid=prev
Taifun den 7 augusti 2014 kl. 15.05
2014-08-07T15:05:33Z
<p></p>
<table class='diff diff-contentalign-left'>
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<td colspan='2' style="background-color: white; color:black; text-align: center;">← Äldre version</td>
<td colspan='2' style="background-color: white; color:black; text-align: center;">Versionen från 7 augusti 2014 kl. 15.05</td>
</tr><tr><td colspan="2" class="diff-lineno">Rad 1:</td>
<td colspan="2" class="diff-lineno">Rad 1:</td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><math> {\Delta y \over \Delta x} = {f(0,3) - f(0,2) \over 0,3 - 0,2} = {5,1\cdot 0,3^2 - 5,1\cdot 0,2^2 \over 0,1} = {0,255 \over 0,1} = 2,55 </math></div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline"><big><big></ins><math> {\Delta y \over \Delta x} = {f(0,3) - f(0,2) \over 0,3 - 0,2} = {5,1\cdot 0,3^2 - 5,1\cdot 0,2^2 \over 0,1} = {0,255 \over 0,1} <ins class="diffchange diffchange-inline"></math></big></big> <math> </ins>= <ins class="diffchange diffchange-inline">\, </ins>2,55 </math></div></td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"></td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>I tidsintervallet mellan 0,2 och 0,3 sekunder faller äpplet med en genomsnittlig hastighet av 2,55 meter per sekund.</div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>I tidsintervallet mellan <ins class="diffchange diffchange-inline"><math> \, </ins>0,2 <ins class="diffchange diffchange-inline"></math> </ins>och <ins class="diffchange diffchange-inline"><math> \, </ins>0,3 <ins class="diffchange diffchange-inline"></math> </ins>sekunder faller äpplet med en genomsnittlig hastighet av <ins class="diffchange diffchange-inline"><math> \, </ins>2,55 <ins class="diffchange diffchange-inline"></math> </ins>meter per sekund.</div></td></tr>
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Taifun
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Taifun den 1 maj 2011 kl. 17.45
2011-05-01T17:45:27Z
<p></p>
<table class='diff diff-contentalign-left'>
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<td colspan='2' style="background-color: white; color:black; text-align: center;">← Äldre version</td>
<td colspan='2' style="background-color: white; color:black; text-align: center;">Versionen från 1 maj 2011 kl. 17.45</td>
</tr><tr><td colspan="2" class="diff-lineno">Rad 1:</td>
<td colspan="2" class="diff-lineno">Rad 1:</td></tr>
<tr><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div><math> {\Delta y \over \Delta x} = {f(0,3) - f(0,2) \over 0,3 - 0,2} = {5,1\cdot 0,3^2 - 5,1\cdot 0,2^2 \over 0,1} = {0,255 \over 0,1} = 2,55 </math></div></td><td class='diff-marker'> </td><td style="background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;"><div><math> {\Delta y \over \Delta x} = {f(0,3) - f(0,2) \over 0,3 - 0,2} = {5,1\cdot 0,3^2 - 5,1\cdot 0,2^2 \over 0,1} = {0,255 \over 0,1} = 2,55 </math></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr>
<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">I tidsintervallet mellan 0,2 och 0,3 sekunder faller äpplet med en genomsnittlig hastighet av 2,55 meter per sekund.</ins></div></td></tr>
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Taifun
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Taifun den 1 maj 2011 kl. 17.42
2011-05-01T17:42:27Z
<p></p>
<table class='diff diff-contentalign-left'>
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<col class='diff-marker' />
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<td colspan='2' style="background-color: white; color:black; text-align: center;">← Äldre version</td>
<td colspan='2' style="background-color: white; color:black; text-align: center;">Versionen från 1 maj 2011 kl. 17.42</td>
</tr><tr><td colspan="2" class="diff-lineno">Rad 1:</td>
<td colspan="2" class="diff-lineno">Rad 1:</td></tr>
<tr><td class='diff-marker'>−</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del class="diffchange diffchange-inline">::::</del><math> {\Delta y \over \Delta x} <del class="diffchange diffchange-inline">\; </del>= <del class="diffchange diffchange-inline">\; </del>{f(<del class="diffchange diffchange-inline">2</del>) <del class="diffchange diffchange-inline">\, </del>- <del class="diffchange diffchange-inline">\, </del>f(0) \over <del class="diffchange diffchange-inline">2 </del>- 0} <del class="diffchange diffchange-inline">\; </del>= \<del class="diffchange diffchange-inline">; {2</del>^2 <del class="diffchange diffchange-inline">\</del>, <del class="diffchange diffchange-inline">- </del>\, <del class="diffchange diffchange-inline">0</del>^2 \over <del class="diffchange diffchange-inline">2 - </del>0} <del class="diffchange diffchange-inline">\; </del>= <del class="diffchange diffchange-inline">\; </del>{<del class="diffchange diffchange-inline">4 \</del>, <del class="diffchange diffchange-inline">- </del>\, <del class="diffchange diffchange-inline">0 \over 2</del>} <del class="diffchange diffchange-inline">\; </del>= <del class="diffchange diffchange-inline">\; {4 \over 2} \; = \; </del>2 </math></div></td><td class='diff-marker'>+</td><td style="color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><math> {\Delta y \over \Delta x} = {f(<ins class="diffchange diffchange-inline">0,3</ins>) - f(0<ins class="diffchange diffchange-inline">,2</ins>) \over <ins class="diffchange diffchange-inline">0,3 </ins>- 0<ins class="diffchange diffchange-inline">,2</ins>} = <ins class="diffchange diffchange-inline">{5,1</ins>\<ins class="diffchange diffchange-inline">cdot 0,3</ins>^2 <ins class="diffchange diffchange-inline">- 5</ins>,<ins class="diffchange diffchange-inline">1</ins>\<ins class="diffchange diffchange-inline">cdot 0</ins>,<ins class="diffchange diffchange-inline">2</ins>^2 \over 0<ins class="diffchange diffchange-inline">,1</ins>} = {<ins class="diffchange diffchange-inline">0</ins>,<ins class="diffchange diffchange-inline">255 </ins>\<ins class="diffchange diffchange-inline">over 0</ins>,<ins class="diffchange diffchange-inline">1</ins>} = 2<ins class="diffchange diffchange-inline">,55 </ins></math></div></td></tr>
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Taifun
https://minidemo.mathonline.se/index.php?title=2.2_L%C3%B6sning_3&diff=4463&oldid=prev
Taifun: Created page with "::::<math> {\Delta y \over \Delta x} \; = \; {f(2) \, - \, f(0) \over 2 - 0} \; = \; {2^2 \, - \, 0^2 \over 2 - 0} \; = \; {4 \, - \, 0 \over 2} \; = \; {4 \over 2} \; = \; 2 </m..."
2011-05-01T17:36:38Z
<p>Created page with "::::<math> {\Delta y \over \Delta x} \; = \; {f(2) \, - \, f(0) \over 2 - 0} \; = \; {2^2 \, - \, 0^2 \over 2 - 0} \; = \; {4 \, - \, 0 \over 2} \; = \; {4 \over 2} \; = \; 2 </m..."</p>
<p><b>Ny sida</b></p><div>::::<math> {\Delta y \over \Delta x} \; = \; {f(2) \, - \, f(0) \over 2 - 0} \; = \; {2^2 \, - \, 0^2 \over 2 - 0} \; = \; {4 \, - \, 0 \over 2} \; = \; {4 \over 2} \; = \; 2 </math></div>
Taifun