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["The Area of a Circle + a Square 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 circle and a square  "]
[null,"  that have the greatest or the least area."]
[]
[]
[]
["What is the total length Lof the wire?"]
[null,"    (10 - 100 square inches)",null,null,"     Length =",{"$f":"D13","v":70}]
[{"$nulls":3},70,{"$f":"#REF!+D13*(#REF!-#REF!)/100","v":{"$error":"#REF!"}}]
[{"$nulls":11},"    The total area function =",null,null,"x2/16 + (L - x)2/4p"]
[]
[{"$f":"\"When x = \"&TEXT(x0,\"0.0\") &\" inches are used for the square, \"","v":"When x = 58.3 inches are used for the square, "},{"$nulls":9},"How many inches (10 to 100) to be used for the square: x0 =",{"$nulls":5},{"$f":"10+O18/10","v":58.3},"inches"]
[{"$f":"\"   so that L - x = \"&TEXT(L - x0,\"0.0\") &\" inches are used for the circle, \"","v":"   so that L - x = 11.7 inches are used for the circle, "}]
[{"$f":"\"    then the total area is \"&TEXT(P19,\"0.00\") &\" square inches \"","v":"    then the total area is 223.32 square inches "},{"$nulls":13},483,{"$f":"Sheet2!H7+O18*(Sheet2!H8-Sheet2!H7)/100","v":444.7}]
[{"$nulls":13},"           The total area is then",null,{"$f":"x0^2/16+(L-x0)^2/4/PI()","v":{"v":223.32398507992477,"d":"223.32"}},"square inches"]
[]
[{"$nulls":13},"        The value of the derivative is y' = ",null,null,{"$f":"Sheet2!I29","v":5.254894199969669}]
[]
[]
["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."]

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