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A199508
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Decimal expansion of x>0 satisfying 3*x^2-2*x*sin(x)=cos(x).
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2
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7, 7, 3, 9, 8, 1, 1, 1, 7, 4, 2, 7, 4, 6, 7, 1, 7, 7, 5, 2, 1, 6, 5, 7, 3, 0, 3, 9, 8, 6, 7, 2, 5, 3, 0, 3, 0, 1, 6, 7, 5, 0, 3, 8, 2, 4, 5, 6, 8, 1, 7, 2, 2, 8, 9, 4, 8, 8, 0, 9, 5, 8, 6, 5, 4, 7, 3, 7, 5, 2, 0, 7, 1, 3, 0, 3, 6, 9, 4, 8, 6, 9, 5, 3, 6, 3, 5, 9, 1, 3, 0, 4, 2, 1, 2, 0, 0, 9, 2
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OFFSET
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0,1
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COMMENTS
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See A199429 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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x=0.773981117427467177521657303986725303016750...
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MATHEMATICA
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a = 3; b = -2; c = 1;
f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c*Cos[x]
Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .77, .78}, WorkingPrecision -> 110]
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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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