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[null,"Volume of an Open Box Problem"]
[]
[null,"This DIGMath module lets you investigate "]
[null,"       the calculus problem of finding"]
[null,"    the dimensions of the largest open box"]
[null,"   that can be formed by snipping away"]
[null," squares from from the four corners of a"]
[null,null,"square sheet of cardboard."]
[]
[]
["What is the length L of the cardboard?"]
[null,"          (6 - 36 inches)",null,null,"  Length L =",{"$f":"D13","v":24}]
[{"$nulls":3},24]
[]
[]
["The formula for the volume function V =",{"$nulls":3},"x(L - 2x)2"]
{"$rows_empty":11}
[{"$nulls":11},"Select the amount x to be snipped: x0 =",{"$nulls":3},{"$f":"O30*dx","v":10.32},"inches"]
[]
[{"$nulls":14},86,{"$f":"Sheet2!H7+O30*(Sheet2!H8-Sheet2!H7)/100","v":10.32}]
[]
[{"$nulls":12},"               The volume of this box is",null,null,{"$f":"x0*(L-2*x0)^2","v":{"v":116.50867199999996,"d":"116.5"}},"cubic inches"]
[]
[{"$nulls":12}," The value of the derivative is y' = ",null,null,{"$f":"Sheet2!I30","v":-127.41120000000046}]
[]
[]
["Click each item below for suggestions and investigations"]
[null,null,"   Item 1"]
[null,null,"   Item 2"]
[null,null,"   Item 3"]
[null,null,"   Item 4"]
[]
[]
[]
["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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[null,"Volume of an Open Box Problem"]
[]
[null,"This DIGMath module lets you investigate "]
[null,"       the calculus problem of finding"]
[null,"    the dimensions of the largest open box"]
[null,"   that can be formed by snipping away"]
[null,"   squares from from the four corners of a"]
[null,"         rectangular sheet of cardboard."]
[]
[]
["What is the length L of the cardboard?"]
[null,"          (6 - 36 inches)",null,null,"  Length L =",{"$f":"D13","v":20}]
[{"$nulls":3},20]
[]
["What is the width W of the cardboard?"]
[null,"          (6 - 36 inches)",null,null,"  Width W =",{"$f":"D17","v":28}]
[{"$nulls":3},28]
[]
["The formula for the volume function V =",{"$nulls":3},"x(L - 2x)(W - 2x)"]
[]
[]
[]
[]
[]
[]
[{"$nulls":8},"Select the amount x to be snipped: x0 =",{"$nulls":3},{"$f":"L28*dxx","v":6.1000000000000005},"inches"]
[]
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[{"$nulls":9},"        The volume of this box is",null,null,{"$f":"xx0*(LL-2*xx0)*(W-2*xx0)","v":{"v":751.7639999999999,"d":"751.8"}},"cubic inches"]
[]
[{"$nulls":8},"        The value of the derivative is y' = ",{"$nulls":3},{"$f":"Sheet2!S30","v":-164.67999999999975}]
[]
[]
[]
[]
[]
[]
["Click each item below for suggestions and investigations"]
[null,null,"   Item 1"]
[null,null,"   Item 2"]
[null,null,"   Item 3"]
[null,null,"   Item 4"]
[]
[]
[]
["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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