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["   The Area of a Printed Page Problem"]
[]
[null,"  This DIGMath module lets you investigate "]
[null,"         the calculus problem of finding"]
[null,"       the dimensions of the smallest page"]
[null,"   that will hold a fixed amount of printing"]
[null,null,"given restrictions on the"]
[null,null,"    sizes of the margins."]
[]
[]
["What is the area of the printed portion?"]
[null,"    (10 - 100 square units)",null,null,"         Area =",{"$f":"D13","v":32}]
[{"$nulls":3},32,{"$f":"#REF!+D13*(#REF!-#REF!)/100","v":{"$error":"#REF!"}},{"$nulls":5},"        The graph of the page area function =",{"$nulls":3},"(x + 2h)(Area/x + 2k)"]
[]
[]
["How wide h are the  left and right margins?",{"$nulls":10},"Select the width of the printed area: x0 =",{"$nulls":3},{"$f":"4+O17/250","v":6},"units"]
[null,"      (1 - 4 units)",null,null,"              h =",{"$f":"D18/2","v":1.5},{"$nulls":8},500,{"$f":"Sheet2!H7+O17*(Sheet2!H8-Sheet2!H7)/100","v":24}]
[{"$nulls":3},3,{"$f":"#REF!+D18*(#REF!-#REF!)/100","v":{"$error":"#REF!"}},{"$nulls":7},"           The area of the full page is",null,null,{"$f":"(x0+2*h)*y0","v":{"v":83.99999999999999,"d":"84.00"}},"square units"]
[]
["How high kare the top and bottom margins?",{"$nulls":12},"       The value of the derivative is A' = ",{"$nulls":3},{"$f":"Sheet2!I29","v":1.3333333333333268}]
[null,"      (1 - 4 units)",null,null,"              k =",{"$f":"D22/2","v":2}]
[{"$nulls":3},4,{"$f":"#REF!+D22*(#REF!-#REF!)/100","v":{"$error":"#REF!"}}]
[]
[]
[{"$f":"\"With a width of \"&TEXT(x0,\"0.00\") &\" units for the printed area, \"","v":"With a width of 6.00 units for the printed area, "}]
[]
[{"$f":"\"   the dimensions of the page are \"&TEXT(x0+2*h,\"0.00\") &\" by \" &TEXT(y0,\"0.00\")","v":"   the dimensions of the page are 9.00 by 9.33"}]
[]
[]
["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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[11,{"v":4.549999999999998,"d":"4.6"},83.2989010989011,-0.637121120637608,null,null,"Horizontal Line"]
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[15,{"v":4.749999999999997,"d":"4.8"},83.21052631578947,-0.25484764542936755,null,null,"Diagnonal Line"]
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