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{"sheet":"Coefficients","index":0,"n_rows":36,"n_cols":12,"rows_kept":36,"cut":false,"hidden":false,"merged":[]}
[null,null,null,"       Quartic Functions"]
[]
[null,"                This program lets you investigate the"]
[null,null,null,"         behavior of quartic functions"]
[]
[]
[null,null,null,"  based on the values of a, b, c, d and e."]
[]
[]
[null,null,"What is the the value of  a (- 3 to 3)?",null,{"$f":"G10/10-3","v":0.39999999999999991},62,34]
[]
[null,null,"What is the the value of  b (- 5 to 5)?",null,{"$f":"G12/100-5","v":-0.69000000000000039},62,431]
[]
[null,null,"What is the the value of  c (- 5 to 5)?",null,{"$f":"G14/100-5","v":-3.54},62,146]
[]
[null,null,"What is the the value of  d (- 5 to 5)?",null,{"$f":"G16/100-5","v":4.0000000000000036E-2},62,504,null,null,null,null,{"$f":"\" y = \"&TEXT(a,\"0.0\")&\"x^4 + (\"&TEXT(b,\"0.00\")&  \")x^3 + (\"&TEXT(cc,\"0.00\")&\")x^2 + (\"&TEXT(d,\"0.00\")&\")x + \"&TEXT(e,\"0.00\")","v":" y = 0.4x^4 + (-0.69)x^3 + (-3.54)x^2 + (0.04)x + 2.15"}]
[null,null,null,null,null,null," "]
[null,null,"What is the the value of  e (- 5 to 5)?",null,{"$f":"G18/100-5","v":2.1500000000000004},62,715]
[]
[]
[]
[]
[null,"Click each item below for suggestions and investigations"]
[null,null,null,"   Item 1"]
[null,null,null,"   Item 2"]
[null,null,null,"   Item 3"]
[null,null,null,"   Item 4"]
[null,null,null,"   Item 5"]
[null,null,null,"   Item 6"]
[null,null,null,null,null,null,null,null,null," "]
[]
["Created by:  Sheldon P. Gordon"]
["                     Farmingdale StateCollege"]
["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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[null,null,null,"          Quartic Functions"]
[]
[null,null,null," This program lets you investigate the"]
[null,null,null,"        behavior of the quartic function"]
[]
[]
[null,null,null,"           through five given points."]
[null,null,null,"(x1, y1), (x2, y2), (x3, y3), (x4, y4), (x5, y5)"]
[]
[]
[null,null,"For the first point (x1, y1):"]
[null,null,null,"What is  x1  (1 to 5)?",null,{"$f":"G12/10-5","v":-3.1},19]
[]
[null,null,null,"What is  y1  (-10 to 10)?",null,{"$f":"G14/10-10","v":4.5},145]
[]
[null,null,"For the second point (x2, y2):"]
[null,null,null,"What is  x2  (-5 to 5)?",null,{"$f":"G17/10-5","v":-1.5},35]
[]
[null,null,null,"What is  y2  (-10 to 10)?",null,{"$f":"G19/10-10","v":1},110]
[]
[null,null,"For the third point (x3, y3):"]
[null,null,null,"What is  x3  (-5 to 5)?",null,{"$f":"G22/10-5","v":0.20000000000000018},52]
[]
[null,null,null,"What is  y3  (-10 to 10)?",null,{"$f":"G24/10-10","v":-3.4000000000000004},66]
[]
[null,null,"For the fourth point (x4, y4):"]
[null,null,null,"What is  x4  (-5 to 5)?",null,{"$f":"G27/10-5","v":1.5},65]
[]
[null,null,null,"What is  y4  (-10 to 10)?",null,{"$f":"G29/10-10","v":-1.0999999999999996},89]
[]
[null,null,"For the fifth point (x5, y5):"]
[null,null,null,"What is  x5  (-5 to 5)?",null,{"$f":"G32/10-5","v":2.8},78]
[]
[null,null,null,"What is  y5  (-10 to 10)?",null,{"$f":"G34/10-10","v":0.80000000000000071},108]
[]
[]
[null,"Click each item below for suggestions and investigations"]
[null,null,null,null,"   Item 1"]
[null,null,null,null,"   Item 2"]
[null,null,null,null,"   Item 3"]
[]
[null,null,null,null,null,null,null,null,null," "]

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[]
[null,null,"Coefficients"]
[]
[null,null,-4,{"$f":"a*C4^4+b*C4^3+cc*C4^2+d*C4+e","v":91.910000000000011},0,1]
[null,null,-1,{"$f":"a*C5^4+b*C5^3+cc*C5^2+d*C5+e","v":-0.33999999999999941}]
[null,null,1,{"$f":"a*C6^4+b*C6^3+cc*C6^2+d*C6+e","v":-1.6400000000000001}]
[null,null,2,{"$f":"a*C7^4+b*C7^3+cc*C7^2+d*C7+e","v":-11.050000000000004}]
[null,null,4,{"$f":"a*C8^4+b*C8^3+cc*C8^2+d*C8+e","v":3.9099999999999522}]
[]
[null,null,"Disc=",{"$f":"9*b^2-24*a*cc","v":38.268900000000002}]
[]
[null,"IP =",{"$f":"IF(D10<0,\"\",(-3*b-SQRT(D10))/12/a)","v":-0.8575387967002196},{"$f":"IF(C12=\"\",\"\",a*C12^4+b*C12^3+cc*C12^2+d*C12+e)","v":0.16390941397349401}]
[null,null,{"$f":"IF(D10<0,\"\",(-3*b+SQRT(D10))/12/a)","v":1.7200387967002202},{"$f":"IF(C13=\"\",\"\",a*C13^4+b*C13^3+cc*C13^2+d*C13+e)","v":-8.2645055174891269}]
[]
[]
[]
["5 points"]
[]
[{"$f":"'5 Points'!F12","v":-3.1},{"$f":"'5 Points'!F14","v":4.5}]
[{"$f":"'5 Points'!F17","v":-1.5},{"$f":"'5 Points'!F19","v":1}]
[{"$f":"'5 Points'!F22","v":0.20000000000000018},{"$f":"'5 Points'!F24","v":-3.4000000000000004}]
[{"$f":"'5 Points'!F27","v":1.5},{"$f":"'5 Points'!F29","v":-1.0999999999999996}]
[{"$f":"'5 Points'!F32","v":2.8},{"$f":"'5 Points'!F34","v":0.80000000000000071}]

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