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[" Area of a Square + a Triangle Problem"]
[]
[null,"This DIGMath module lets you investigate "]
[null,"         the calculus problem of finding"]
[null,"          where to cut a length of wire"]
[null,"to form a square and an equilateral triangle  "]
[null,"  that have the greatest or the least area."]
[]
[]
[]
["What is the total length Lof the wire?"]
[null,"    (0 - 100  inches)",null,null,"       Length =",{"$f":"D13","v":60}]
[{"$nulls":3},60,{"$f":"#REF!+D13*(#REF!-#REF!)/100","v":{"$error":"#REF!"}}]
[{"$nulls":11},"    The total area function is"]
[]
[{"$f":"\"When x = \"&TEXT(x0,\"0.0\") &\" inches are used for the square, \"","v":"When x = 6.6 inches are used for the square, "},{"$nulls":9},"How many inches (0 to 100) to be used for the square: 4x0 =",{"$nulls":5},{"$f":"O18*dd","v":6.6},"inches"]
[{"$f":"\"   so that L - x = \"&TEXT(L - x0,\"0.0\") &\" inches are used for the triangle, \"","v":"   so that L - x = 53.4 inches are used for the triangle, "}]
[{"$f":"\"    then the total area is \"&TEXT(Area,\"0.00\") &\" square inches \"","v":"    then the total area is 152.19 square inches "},{"$nulls":13},22,{"$f":"Sheet2!H7+O18*(Sheet2!H8-Sheet2!H7)/100","v":22}]
[{"$nulls":13},"           The total area is then",null,{"$f":"LOOKUP(x0,Sheet2!B3:B204,Sheet2!C3:C204)","v":{"v":152.19422665072,"d":"152.19"}},"square inches"]
[]
[{"$nulls":13},"        The value of the derivative is y' = ",null,null,{"$f":"LOOKUP(x0,Sheet2!B3:B204,Sheet2!D3:D204)","v":0.26735397015237616}]
[]
[]
["Click each item below for suggestions and investigations"]
[null,null,"   Item 1"]
[null,null,"   Item 2"]
[null,null,"   Item 3"]
[]
[]
[]
["To access/download all the DIGMath Apps for Calculus"]
["     Click this link:",null,"DIGMath for Calculus"]
[]
["Created by:  Sheldon P. Gordon   "]
["                      Farmingdale State College    "]
["Development of this module was supported by the "]
["NSF's Division of Undergraduate Education  "]
["under grants DUE-0310123 and DUE-0442160.",{"$nulls":8},0]

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