|
|
A200308
|
|
Decimal expansion of greatest x satisfying 4*x^2 - 4*cos(x) = 3*sin(x).
|
|
3
|
|
|
1, 0, 6, 7, 4, 0, 8, 4, 8, 5, 6, 9, 3, 5, 9, 1, 7, 2, 3, 8, 3, 9, 2, 6, 0, 5, 6, 7, 0, 0, 7, 0, 6, 4, 1, 8, 4, 7, 6, 0, 4, 6, 0, 0, 3, 5, 9, 5, 3, 0, 2, 7, 8, 6, 5, 0, 5, 4, 6, 5, 9, 3, 0, 4, 0, 8, 3, 5, 4, 3, 1, 7, 8, 2, 0, 4, 4, 8, 3, 7, 9, 5, 5, 4, 1, 5, 1, 6, 5, 4, 8, 3, 2, 1, 1, 0, 8, 1, 9
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,3
|
|
COMMENTS
|
See A199949 for a guide to related sequences. The Mathematica program includes a graph.
|
|
LINKS
|
|
|
EXAMPLE
|
least x: -0.6174065144201321316882984350723098...
greatest x: 1.06740848569359172383926056700706...
|
|
MATHEMATICA
|
a = 4; b = -4; c = 3;
f[x_] := a*x^2 + b*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -.62, -.63}, WorkingPrecision -> 110]
r = x /. FindRoot[f[x] == g[x], {x, 1.0, 1.1}, WorkingPrecision -> 110]
|
|
PROG
|
(PARI) a=4; b=-4; c=3; solve(x=1, 2, a*x^2 + b*cos(x) - c*sin(x)) \\ G. C. Greubel, Jul 10 2018
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|