59 lines
1.1 KiB
Python
59 lines
1.1 KiB
Python
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import numpy as np
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import matplotlib.pyplot as plt
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import math
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def f1(x):
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return 5/((2 * x ** 2 ) ** (1/3))
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def f2(x):
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return 10 ** 5 * (2 * np.e) ** (-x/100)
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def f3(x):
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x2 = 2 * x
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x10_2x = math.pow(10,x2)
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x5 = 5 * x
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x2_5x = math.pow(2, x5)
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x10_2x_x2_5x = x10_2x / x2_5x
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y = math.pow(x10_2x_x2_5x, 2)
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return y
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xstep = 1
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xstart = xstep
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xstop = 100
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x = np.arange(xstart, xstop + xstep, xstep)
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# Aufgabe (i)
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y1 = [f1(x_value) for x_value in x]
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plt.plot(x, y1, label="f1(x)")
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# Beide Achsen logarithmisch
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plt.xscale('log', base = 2)
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plt.yscale('log', base = 2)
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# Steigung: -2/3
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# Y-Achsenabschnitt: 0
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plt.grid()
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plt.title("(i)")
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plt.figure()
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# Aufgabe (ii)
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y2 = [f2(x_value) for x_value in x]
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plt.plot(x, y2, label="f2(x)")
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# Y - Achse logarithmisch
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plt.yscale('log', base = np.e)
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# Steigung: -1/3
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# Y-Achsenabschnitt: 100000
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plt.grid()
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plt.title("(ii)")
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plt.figure()
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# Aufgabe (iii)
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y3 = [f3(x_value) for x_value in x]
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plt.plot(x, y3, label="f3(x)")
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# Y - Achse logarithmisch
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plt.yscale('log', base = 10)
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# Steigung: 1
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# Y-Achsenabschnitt: 100000
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plt.grid()
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plt.title("(iii)")
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plt.show()
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