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Image: ubuntu2004
x = var('x') lgl = 10^(-0.1232) skaitiklis = (1-0.5*(1+0.005*x+sqrt((1+0.005*x)^2-0.02*x))) vardiklis = (1+0.5*(1+0.005*x+sqrt((1+0.005*x)^2-0.02*x)))
lygtis = (lgl == (skaitiklis/vardiklis))
print(solve(lygtis, x))
[]
print(latex(simplify(lygtis)))
0.753008710548 = \frac{{(-0.0025 \, x - 0.5 \, \sqrt{{(0.005 \, x + 1)}^{2} - 0.02 \, x} + 0.5)}}{{(0.0025 \, x + 0.5 \, \sqrt{{(0.005 \, x + 1)}^{2} - 0.02 \, x} + 1.5)}}
#p4 = parametric_plot((f,h),0,2*pi,rgbcolor=hue(1.0)) f = lambda x: skaitiklis/vardiklis #p1 = parametric_plot((f,h),0,2*pi,rgbcolor=hue(1.0))
p1 = parametric_plot((f, x), (0, 1000), rgbcolor=hue(1.0))
verbose 0 (3348: plot.py, generate_plot_points) WARNING: When plotting, failed to evaluate function at 200 points. verbose 0 (3348: plot.py, generate_plot_points) Last error message: 'float() argument must be a string or a number'
h = lambda x: lgl p2 = parametric_plot((h, x), (0, 10), rgbcolor=hue(1.0))
(p1+p2).show()
f = lambda x: sqrt((1+0.005*x)^2-0.02*x) s = lambda x: (1-0.5*(1+0.005*x+f(x))) v = lambda x: (1+0.5*(1+0.005*x+f(x))) x = lambda x: x h = lambda x: s(x)/v(x) l = lambda x: lgl
pf = parametric_plot((x, f), (195, 205), rgbcolor=(1.0, 0.0, 0.0)) ps = parametric_plot((x, s), (195, 205), rgbcolor=(0.0, 1.0, 0.0)) pv = parametric_plot((x, v), (195, 205), rgbcolor=(0.0, 0.0, 1.0)) ph = parametric_plot((x, h), (195, 205), rgbcolor=(1.0, 1.0, 1.0)) pl = parametric_plot((x, l), (195, 205), rgbcolor=(1.0, 0.0, 1.0))
(pf + ph).show()
print(float(v(204))) print(float(s(204))) print(float(h(204)))
2.02 -0.02 -0.00990099009901