{"text_format":"3","workbook":"xlsx","n_sheets":4,"sheets":["Equation","Definition","Sheet3","Sheet4"],"not_rendered":{"charts":2,"images":6,"macros":1,"defined_names":15,"comments":2},"read":"whole","date_system":"1900"}

{"sheet":"Equation","index":0,"n_rows":38,"n_cols":10,"rows_kept":38}
[null,null,"         The Equation of"]
[null,null,"             The Ellipse"]
[]
[null,null,"       The equation of the ellipse "]
[null,null,"   with center on the x-axis at x0 is "]
[null,null,"       ","(x - x0)2   +  y2   =  1"]
[{"$nulls":3},"     a2           b2"]
[]
[]
[null,"What is the center, x0?",null,null,{"$f":"-2+G10/2","v":7.5},null,19]
[]
[]
[null,"Enter the value for the parameter a",null,null,{"$f":"G13+1","v":6},null,5]
[null,null,"a is between 1 and 10"]
[]
[{"$nulls":9},"Graph of   (x - x0)2/52  +  y2/32  =  1  for comparison"]
[null,"Enter the value for the parameter b"]
[null,null,"b is between 1 and 10",null,{"$f":"G18+1","v":6},null,5]
[]
[]
[]
[]
["Click each item below for suggestions and investigations"]
[{"$nulls":3},"   Item 1"]
[{"$nulls":3},"   Item 2"]
[{"$nulls":3},"   Item 3"]
[{"$nulls":3},"   Item 4"]
[]
[]
[]
["To access/download all the DIGMath Apps for College Algebra/Precalculus"]
["Click this link:",null,"DIGMath Modules for College Algebra and Precalculus"]
[]
["Created by:  Sheldon P. Gordon   &   Florence S. Gordon",{"$nulls":8}," "]
["                  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."]

{"sheet":"Definition","index":1,"n_rows":860,"n_cols":24,"rows_kept":860}
[{"$nulls":3},"    The Definition of"]
[{"$nulls":3},"        The Ellipse"]
[]
[null,null,"An ellipse consists of the set of all points"]
[null,null,"          where the sum of the distances"]
[null,null,"        from two fixed points (the foci) "]
[{"$nulls":3},"             is a constant."]
[]
[]
[null,"Enter the x-value for the right focus",null,null,{"$f":"-2+G10/2","v":5},null,14]
[]
[]
[null,"Enter the x-value for the left focus",null,null,{"$f":"IF(-12+G13/2<E10,-12+G13/2,E10-0.5)","v":0.5},null,25]
[null,null,"a is between 0.01 (1%) and 0.50 (40%)"]
[]
[]
[null,"Enter the total distance D from the two foci"]
[{"$nulls":3},"D is between 1 and 20",{"$f":"G18+1","v":11},null,10,{"$nulls":4},"Select a point on the ellipse:   x =",null,null,{"$f":"LOOKUP(Q18,Sheet3!D2:D201,Sheet3!E2:E201)","v":-2.640000000000009},null,99]
[{"$nulls":13},"                 y = ",{"$f":"LOOKUP(Q18,Sheet3!D2:D201,Sheet3!F2:F201)","v":0.9987116701029959}]
[]
[{"$nulls":13},"D1 =",{"$f":"Sheet3!J12","v":7.705000000000004}]
[{"$nulls":13},"D2 =",{"$f":"Sheet3!J13","v":3.2949999999999955}]
[{"$nulls":13},"D =",{"$f":"O21+O22","v":11}]
[]
[]
["Click each item below for suggestions and investigations"]
[{"$nulls":3},"   Item 1"]
[{"$nulls":3},"   Item 2"]
[{"$nulls":3},"   Item 3"]
[{"$nulls":3},"   Item 4"]
[]
[]
[]
["To access/download all the DIGMath Apps for College Algebra/Precalculus",{"$nulls":8}," "]
["Click this link:",null,"DIGMath Modules for College Algebra and Precalculus"]
[]
["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."]
{"$rows_empty":818}
[{"$nulls":22},{"$f":"Z860","v":0},{"$f":"Z860","v":0}]

{"sheet":"Sheet3","index":2,"n_rows":202,"n_cols":21,"rows_kept":202}
[{"$nulls":5},"Definition",{"$nulls":10},"Equation"]
["D = ",{"$f":"D","v":11},null,0,{"$f":"IF(a>cc,xMax,0)","v":8.25},{"$f":"IF(a>cc, b*(1-(E2-x0)^2/a^2)^0.5,x0)","v":0},{"$f":"E2","v":8.25},{"$f":"F2","v":0},{"$f":"a0","v":5},0,null,"D = ",{"$f":"D","v":11},null,0,{"$f":"x00+aa","v":13.5},{"$f":" bb*(1-(P2-x00)^2/aa^2)^0.5","v":0},{"$f":"x00+5","v":12.5},{"$f":" 3*(1-(R2-x00)^2/25)^0.5","v":0},{"$f":"x00+cc","v":9.75},0]
[{"$nulls":3},1,{"$f":"IF(a>cc,E2-dx,0)","v":8.14},0.9987116701030352,{"$f":"E3","v":8.14},{"$f":"F3","v":0.9987116701030352},{"$f":"b0","v":0.5},0,{"$nulls":4},1,{"$f":"P2-dxx","v":13.38},1.1939849245279386,{"$f":"R2-0.1","v":12.4},0.5969924622639701,{"$f":"x00-cc","v":5.25},0]
["a =",{"$f":"D/2","v":5.5},null,2,8.030000000000001,1.4052401929919274,8.030000000000001,1.4052401929919274,{"$nulls":3},"a =",{"$f":"aa","v":6},null,2,13.260000000000002,1.6799999999999942,{"$f":"R3-0.1","v":12.3},0.839999999999999]
[{"$nulls":3},3,7.920000000000001,1.7122572820694881,7.920000000000001,1.7122572820694881,{"$f":"a0","v":5},{"$f":"0","v":0},{"$nulls":4},3,13.140000000000002,2.0470466531078304,12.200000000000001,1.0235233265539172,"center"]
["c =",{"$f":"(a0-b0)/2","v":2.25},null,4,7.8100000000000005,1.9669265365030786,7.8100000000000005,1.9669265365030786,{"$f":"Definition!O18","v":-2.640000000000009},{"$f":"Definition!O19","v":0.9987116701029959},null,"c =",{"$f":"(aa^2-bb^2)^0.5","v":0},null,4,13.020000000000003,2.351510153071844,12.100000000000001,1.1757550765359233,{"$f":"x00","v":7.5},0]
[{"$nulls":3},5,7.7,2.1876071402333643,7.7,2.1876071402333643,{"$nulls":6},5,12.900000000000004,2.615339366124396,12.000000000000002,1.3076696830621999]
["b =",{"$f":"IF(a>cc,(a^2-cc^2)^0.5,0)","v":5.018714974971183},null,6,7.59,2.3837575380059106,7.59,2.3837575380059106,{"$f":"b0","v":0.5},0,null,"b =",{"$f":"bb","v":6},null,6,12.780000000000005,2.849842100889092,11.900000000000002,1.424921050444548,{"$f":"b0","v":0.5},0]
[{"$nulls":3},7,7.4799999999999995,2.5610203044880384,7.4799999999999995,2.5610203044880384,{"$f":"Definition!$O$18","v":-2.640000000000009},{"$f":"Definition!$O$19","v":0.9987116701029959},{"$nulls":4},7,12.660000000000005,3.0617641973215286,11.800000000000002,1.5308820986607663,{"$f":"Definition!$O$18","v":-2.640000000000009},{"$f":"Definition!$O$19","v":0.9987116701029959}]
["Center x0 =",{"$f":"(a0+b0)/2","v":2.75},null,8,7.369999999999999,2.723086484120548,7.369999999999999,2.723086484120548,{"$nulls":3},"Center x0 =",{"$f":"x00","v":7.5},null,8,12.540000000000006,3.255518391900119,11.700000000000003,1.6277591959500617]
[{"$nulls":3},9,7.259999999999999,2.8725293732179678,7.259999999999999,2.8725293732179678,{"$nulls":6},9,12.420000000000007,3.434181125100994,11.600000000000003,1.7170905625504993]
[{"$nulls":3},10,7.149999999999999,3.0112289849827114,7.149999999999999,3.0112289849827114,"D1 =",{"$f":"((I5-I6)^2+J6^2)^0.5","v":7.705000000000004},{"$nulls":4},10,12.300000000000008,3.59999999999999,11.500000000000004,1.7999999999999972]
["xMin =",{"$f":"x0-a","v":-2.75},null,11,7.039999999999998,3.14060901737227,7.039999999999998,3.14060901737227,"D2 =",{"$f":"((I8-I9)^2+J9^2)^0.5","v":3.2949999999999955},null,"xMin =",{"$f":"x00-aa","v":1.5},null,11,12.180000000000009,3.7546770833188727,11.400000000000004,1.8773385416594386]
["xMax =",{"$f":"x0+a","v":8.25},null,12,6.929999999999998,3.261778655887001,6.929999999999998,3.261778655887001,{"$nulls":3},"xMax =",{"$f":"x00+aa","v":13.5},null,12,12.06000000000001,3.89953843422525,11.300000000000004,1.9497692171126273]
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["dx =",{"$f":"(xMax-xMin)/100","v":0.11},null,14,6.709999999999997,3.482858021797618,6.709999999999997,3.482858021797618,{"$nulls":3},"dx =",{"$f":"(M14-M13)/100","v":0.12},null,14,11.820000000000011,4.163844377495382,11.100000000000005,2.0819221887476935]
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