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A199445 Decimal expansion of x>0 satisfying 2*x^2+3*x*sin(x)=3*cos(x). 2

%I

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

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

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

%N Decimal expansion of x>0 satisfying 2*x^2+3*x*sin(x)=3*cos(x).

%C See A199370 for a guide to related sequences. The Mathematica program includes a graph.

%e x=0.695353473993829940120381385246488619328926771...

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

%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, .69, .70}, WorkingPrecision -> 110]

%t RealDigits[r] (* A199445 *)

%Y Cf. A199429.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Nov 06 2011

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Last modified September 28 02:07 EDT 2020. Contains 337392 sequences. (Running on oeis4.)