{"text_format":"3","workbook":"xlsx","n_sheets":2,"sheets":["Rectangle","Sheet2"],"not_rendered":{"charts":1,"images":2,"defined_names":19,"comments":1},"read":"whole","date_system":"1900"}

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[null,"Contours of the Area Function"]
[null,"            for a Rectangle"]
[]
[null," This DIGMath module lets you investigate "]
[null,null,"    the contour diagrams"]
[null,"           of the area function A = xy"]
[null,"     for a rectangle of dimensions x by y."]
[]
[]
["   Three contours shown correspond to A = 10,  A = 30, and  A = 50."]
[]
[]
["Select a fourth contour ( 0 to 50): A =",{"$nulls":3},{"$f":"G13","v":38},null,38]
[{"$nulls":9},"        Trace along the contours at  x0  =",{"$nulls":3},{"$f":"L15/10","v":2.9}]
[{"$nulls":11},29,{"$f":"a+L15*(b-a)/100","v":-1.6800000000000002}]
[null,"The interval used is from x = 0  to  x = 10."]
[]
[{"$nulls":9},"        At the tracing point  x0 =",null,null,{"$f":"x0","v":2.9}]
["Click each item below for suggestions and investigations"]
[null,"   Item 1",{"$nulls":7},"   the value of y on the contour with A = 10 is",{"$nulls":5},{"$f":"Sheet2!B11","v":{"v":3.4482758620689657,"d":"3.45"}}]
[null,"   Item 2",{"$nulls":7},"   the value of y on the contour with A = 30 is",{"$nulls":5},{"$f":"Sheet2!B24","v":{"v":10.344827586206897,"d":"10.34"}}]
[null,"   Item 3",{"$nulls":7},"   the value of y on the contour with A = 50 is",{"$nulls":5},{"$f":"Sheet2!B34","v":{"v":17.24137931034483,"d":"17.24"}}]
[null,"   Item 4",{"$nulls":7},{"$f":"\"   the value of y on the contour with A = \"&TEXT(D,\"#\")&\" is\"","v":"   the value of y on the contour with A = 38 is"},{"$nulls":5},{"$f":"Sheet2!B44","v":{"v":13.10344827586207,"d":"13.10"}}]
[]
[]
[]
["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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["x =",-4]
["y =",4]
[]
[]
[]
["A = 10"]
[0.1,{"$f":"10/A7","v":100}]
[5,{"$f":"10/A8","v":2}]
[10,{"$f":"10/A9","v":1}]
[]
[{"$f":"x0","v":2.9},{"$f":"10/A11","v":{"v":3.4482758620689657,"d":"3.45"}}]
[{"$f":"x0","v":2.9},{"$f":"B11","v":{"v":3.4482758620689657,"d":"3.45"}}]
[]
[{"$f":"x0","v":2.9},{"$f":"10/A14","v":{"v":3.4482758620689657,"d":"3.45"}}]
[]
["A =30"]
[0.1,{"$f":"30/A17","v":{"v":300,"d":"300.00"}}]
[5,{"$f":"30/A18","v":{"v":6,"d":"6.00"}}]
[10,{"v":3,"d":"3.00"}]
[]
[{"$f":"x0","v":2.9},{"v":10.344827586206897,"d":"10.34"}]
[{"$f":"x0+0.2","v":3.1},{"v":9.67741935483871,"d":"9.68"}]
[]
[{"$f":"x0","v":2.9},{"v":10.344827586206897,"d":"10.34"}]
[]
["A = 50"]
[0.1,{"$f":"50/A27","v":{"v":500,"d":"500.00"}}]
[5,{"$f":"50/A28","v":{"v":10,"d":"10.00"}}]
[10,{"v":5,"d":"5.00"}]
[]
[{"$f":"x0","v":2.9},{"v":17.24137931034483,"d":"17.24"}]
[{"$f":"A31","v":2.9},{"v":17.24137931034483,"d":"17.24"}]
[]
[{"$f":"x0","v":2.9},{"v":17.24137931034483,"d":"17.24"}]
[]
[{"$f":"\"A =\"&TEXT(D,\"#.#\")","v":"A =38."}]
[0.1,{"$f":"D/A37","v":{"v":380,"d":"380.00"}}]
[5,{"$f":"D/A38","v":{"v":7.6,"d":"7.60"}}]
[10,{"$f":"D/A39","v":{"v":3.8,"d":"3.80"}}]
[]
[{"$f":"x0","v":2.9},{"$f":"D/A41","v":{"v":13.10344827586207,"d":"13.10"}}]
[{"$f":"A41","v":2.9},{"$f":"D/A42","v":{"v":13.10344827586207,"d":"13.10"}}]
[]
[{"$f":"x0","v":2.9},{"$f":"D/A44","v":{"v":13.10344827586207,"d":"13.10"}}]