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A200226
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Decimal expansion of greatest x satisfying 3*x^2 - cos(x) = 3*sin(x).
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3
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1, 0, 1, 2, 2, 6, 5, 5, 6, 2, 9, 6, 9, 2, 0, 9, 4, 1, 7, 3, 3, 4, 5, 5, 4, 4, 1, 9, 9, 3, 8, 2, 7, 2, 1, 4, 5, 5, 8, 9, 6, 1, 2, 7, 1, 3, 9, 8, 2, 8, 6, 8, 9, 9, 1, 3, 1, 2, 1, 0, 7, 8, 3, 4, 0, 7, 3, 9, 5, 8, 9, 3, 1, 6, 8, 9, 8, 9, 6, 3, 8, 0, 4, 1, 5, 9, 0, 7, 5, 0, 4, 6, 8, 3, 4, 6, 0, 0, 5
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OFFSET
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1,4
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COMMENTS
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See A199949 for a guide to related sequences. The Mathematica program includes a graph.
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LINKS
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EXAMPLE
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least x: -0.25837586008348694859843826122973...
greatest x: 1.012265562969209417334554419938...
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MATHEMATICA
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a = 3; b = -1; c = 3;
f[x_] := a*x^2 + b*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -.26, -.25}, WorkingPrecision -> 110]
r = x /. FindRoot[f[x] == g[x], {x, 1.0, 1.1}, WorkingPrecision -> 110]
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PROG
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(PARI) a=3; b=-1; c=3; solve(x=1, 2, a*x^2 + b*cos(x) - c*sin(x)) \\ G. C. Greubel, Jun 30 2018
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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