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97 lines
3.3 KiB
HTML
97 lines
3.3 KiB
HTML
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<title>Marquis De L'Hopital Optimization Problem</title>
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<h1 class="center">Marquis De L'Hopital</h1>
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<p class="center"><img src="images/marquis-de-l-hopital.gif" alt="marquis de l hopital question" height="250" width="250"></p>
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<p>AB is a <b>beam</b> 1m long. AC is a <b>rod</b> free to pivot at A and with a
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freely spinning pulley at C.</p>
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<p>A rope is fixed at B, passes over the
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pulley at C and hangs vertically down to a weight at D.</p>
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<p>If the length
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of the rod AC is 40cm, and the length of the rope BC+CD is 1m, find
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the greatest depth that D can reach below AB.</p>
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<p>Based on Marquis De L'Hopital (1661−1704) <i>analyze des infiniment
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petits</i></p>
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<p>From a paper on optimization using the TI83 Calculator</p>
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<p>Roger Fentem - College of St Mark and St. John</p>
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