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[null,"  Two Poles and a Guy Wire "]
[]
[null,"This DIGMath module lets you investigate "]
[null,"       the calculus problem of finding"]
[null,"        the shortest length of a guy wire"]
[null,null,"staking two vertical poles"]
[null,null,"        to the ground."]
[]
[]
["How tall is the first pole (3 -10 meters)?",{"$nulls":4},{"$f":"D11","v":10}]
[{"$nulls":3},10,{"$f":"#REF!+D11*(#REF!-#REF!)/100","v":{"$error":"#REF!"}}]
[]
[]
["How tall is the second pole (3 -10 meters)?",{"$nulls":4},{"$f":"D15","v":8}]
[{"$nulls":3},8,{"$f":"#REF!+D15*(#REF!-#REF!)/100","v":{"$error":"#REF!"}}]
[]
[]
["How far apart are the two poles (5 - 40 m)?",{"$nulls":4},{"$f":"D19","v":18},{"$nulls":5},"Select the point where the cables are staked: x =",{"$nulls":4},{"$f":"O20/100*D","v":8.280000000000001},"meters"]
[{"$nulls":3},18,{"$f":"#REF!+D19*(#REF!-#REF!)/100","v":{"$error":"#REF!"}}]
[{"$nulls":14},46,{"$f":"Sheet2!H7+O20*(Sheet2!H8-Sheet2!H7)/100","v":8.28}]
[]
[{"$nulls":12},"     The length of the first cable is L1 =",{"$nulls":3},{"$f":"Sheet2!H32","v":12.983004274820216},"meters"]
[]
[{"$nulls":12},"     The length of the second cable is L2 =",{"$nulls":3},{"$f":"Sheet2!H33","v":12.588820437197441},"meters"]
[]
[{"$nulls":12},"     The total length of the cable is L =",{"$nulls":3},{"$f":"Sheet2!H34","v":25.57182471201766},"meters"]
[]
["Click each item below for suggestions and investigations"]
[null,null,"   Item 1"]
[null,null,"   Item 2"]
[null,null,"   Item 3"]
[]
[]
["To access/download all the DIGMath Apps for Calculus"]
["Click this link:",null,"DIGMath for Calculus"]
[]
["Created by:  Sheldon P. Gordon   &   Florence S. Gordon"]
["                  Farmingdale State College      NYIT"]
["Development of this module was supported by the "]
["NSF's Division of Undergraduate Education  "]
["under grants DUE-0310123 and DUE-0442160."]
[]
[]
[{"$nulls":12},"The graph of the function y =",null,null,{"$f":"\"sqrt(\" & TEXT(RR,\"0\") & \"^2 + x^2) + sqrt(\" & TEXT(s,\"0\") & \"^2 +(\" & TEXT(D,\"0\") & \" - x)^2)\"","v":"sqrt(10^2 + x^2) + sqrt(8^2 +(18 - x)^2)"}]
[]
[{"$nulls":12},"        The value of the derivative L'(x) = ",{"$nulls":3},{"$f":"Sheet2!I25","v":{"v":-0.12736103548755848,"d":"-0.13"}}]

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[null,"x","f(x)","f'(x)"]
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