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[null,"  Smallest Lot for a Building"]
[]
[null,"This DIGMath module lets you investigate "]
[null,"       the calculus problem of finding"]
[null,"       the smallest lot that will contain "]
[null,"          a building having a given area"]
[null,null,"given required distances"]
[null,null,"        on all sides."]
[]
["What is the area A of the building?"]
[null,"   (1000 - 10,000 square feet)?",{"$nulls":3},{"$f":"D12*500+500","v":3000}]
[{"$nulls":3},5,{"$f":"#REF!+D12*(#REF!-#REF!)/100","v":{"$error":"#REF!"}}]
[]
[]
["How much distance a in front (10 - 50 ft)?",{"$nulls":4},{"$f":"D16","v":31}]
[{"$nulls":3},31]
[{"$nulls":11},"The graph of the Area  =",null,null,{"$f":"TEXT(a+b,\"0\")&\"x + \" & TEXT(cc*RR,\"0\") & \"/x +\" & TEXT(RR+(a+b)*cc,\"0\")","v":"59x + 57000/x +4121"}]
["How much distance b in back (10 - 50 ft)?",{"$nulls":4},{"$f":"D19","v":28}]
[{"$nulls":3},28]
[{"$nulls":11},"  Select a horizontal length: x0 =",{"$nulls":3},{"$f":"LOOKUP(O22,Sheet2!A3:A1003,Sheet2!B3:B1003)","v":31.84000000000009},"feet"]
["How much distance c on sides (10 - 25 ft)?",{"$nulls":4},{"$f":"D22","v":19}]
[{"$nulls":3},19,{"$nulls":10},156,{"$f":"Sheet2!H7+O22*(Sheet2!H8-Sheet2!H7)/100","v":228.4}]
[]
[]
[{"$f":"\"With a horizontal length of \"&TEXT(x0,\"0\") &\" feet for the building,\"","v":"With a horizontal length of 32 feet for the building,"}]
[{"$f":"\"   the vertical length of the building is \"&TEXT(RR/x0,\"0\") &\" feet,\"","v":"   the vertical length of the building is 94 feet,"}]
[]
[{"$f":"\"The corresponding plot of land needed for the building\"","v":"The corresponding plot of land needed for the building"}]
[{"$f":"\"   measures \"&TEXT(x0+2*cc,\"0\")&\" feet by \"&TEXT(y0+a+b,\"0\")&\" feet.\"","v":"   measures 70 feet by 153 feet."}]
[]
[]
[]
[]
["Click each item below for suggestions and investigations"]
[null,"   Item 1"]
[null,"   Item 2"]
[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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