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 A199465 Decimal expansion of greatest x satisfying x^2-3*x*sin(x)=-2*cos(x). 2

%I

%S 2,4,7,9,8,1,6,1,6,7,5,8,0,7,5,2,6,9,9,1,5,6,8,6,7,4,4,6,0,3,4,3,4,4,

%T 2,9,3,2,3,8,5,7,1,2,5,0,4,0,5,9,8,1,6,9,3,3,8,7,5,4,6,4,0,9,5,3,5,6,

%U 6,7,0,9,3,5,5,4,0,8,7,6,2,9,5,8,9,3,1,1,9,0,5,5,3,8,6,2,9,0,7

%N Decimal expansion of greatest x satisfying x^2-3*x*sin(x)=-2*cos(x).

%C See A199429 for a guide to related sequences. The Mathematica program includes a graph.

%e x=2.4798161675807526991568674460343442932...

%t a = 1; b = -3; c = -2;

%t f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c*Cos[x]

%t Plot[{f[x], g[x]}, {x, -Pi, Pi}, {AxesOrigin -> {0, 0}}]

%t r = x /. FindRoot[f[x] == g[x], {x, 2.47, 2.48}, WorkingPrecision -> 110]

%t RealDigits[r] (* A199465 greatest root *)

%Y Cf. A199429.

%K nonn,cons

%O 1,1

%A _Clark Kimberling_, Nov 07 2011

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Last modified January 31 05:03 EST 2023. Contains 359947 sequences. (Running on oeis4.)