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[null,"The Slipping Ladder Problem"]
[]
[null," This DIGMath module lets you investigate "]
[null,"the related rates calculus problem of finding"]
[null,"       the rate dy/dt at which the height y"]
[null,"          of a ladder of length L decreases"]
[null,"    as the ladder slips away from the wall "]
[null,null,"    at a given rate dx/dt."]
[]
[]
["What is the length L of the ladder (6 - 12 feet)?"]
[{"$nulls":3},10,{"$f":"#REF!+D12*(#REF!-#REF!)/100","v":{"$error":"#REF!"}},{"$f":"D12","v":10}]
[]
["How far from the wall x (1 - 10) does the ladder's base start?"]
[{"$nulls":3},3,{"$f":"#REF!+D15*(#REF!-#REF!)/100","v":{"$error":"#REF!"}},{"$f":"D15","v":3}]
[]
["How fast is the bottom of the ladder slipping (-1 to -10 ft per sec)?"]
[{"$nulls":3},3,{"$f":"#REF!+D18*(#REF!-#REF!)/100","v":{"$error":"#REF!"}},{"$f":"-D18","v":-3}]
[]
[]
[]
["Click each item below for suggestions and investigations",{"$nulls":10},"       Select the distance from the wall: x0 =",{"$nulls":3},{"$f":"IF(O23/5>L,L,O23/5)","v":8},"feet","Time =",{"$f":"LOOKUP(x0, Sheet2!B3:B103,Sheet2!C3:C103)","v":{"v":0.2132000000000001,"d":"0.21"}},"seconds"]
[null,null,"   Item 1",{"$nulls":11},40,{"$f":"Sheet2!#REF!+O23*(Sheet2!#REF!-Sheet2!#REF!)/100","v":{"$error":"#REF!"}}]
[null,null,"   Item 2"]
[null,null,"   Item 3",{"$nulls":10},"  The height of the ladder is",null,{"$f":"LOOKUP(x0+0.1,Sheet2!B3:B203,Sheet2!D3:D203)","v":{"v":5.999999999999996,"d":"6.0"}},"feet"]
[null,null,"   Item 4"]
[{"$nulls":11}," The height of the ladder is decreasing at a rate of",{"$nulls":4},{"$f":"LOOKUP(x0,Sheet2!B3:B103, Sheet2!E3:E103)","v":{"v":-9.431529470663623,"d":"-9.4"}}," feet per second"]
[]
["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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