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So I have this equation:
x^2 + 4*(z+10)^2 = e^(-0.05*z)
How cant I plot it using, for example, Matplotlib.pyplot and Numpy packages?
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Wand ellipse() function in Python Just similar to drawing circle the ellipse() function requires two pairs of point that is, origin and a pair of (x, y) radius of the ellipse. To draw a partial ellipse, provide a pair of starting & ending degrees as the third parameter. pair which represents origin x and y of ellipse.
To graph an ellipse, mark points a units left and right from the center and points b units up and down from the center. Draw an ellipse through these points. The orientation of an ellipse is determined by a and b. If a>b then the ellipse is wider than it is tall and is considered to be a horizontal ellipse.
My solution is: Calculate each side of equation for a given x and z gridded. Then I contour points that satisfy the equation. One side minus other equals to zero.
import numpy as np
import matplotlib.pyplot as plt
z = -np.linspace(9,15,100)
x = np.linspace(-26,26,1000)
x,z = np.meshgrid(x,z)
Z = -np.exp(-0.05*z) +4*(z+10)**2
X = x**2
plt.contour(x,z,(X+Z),[0])
plt.xlim([-1.5,1.5])
plt.ylim([-11.5,-8.5])
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Use the plot_implicit function of sympy http://docs.sympy.org/latest/modules/plotting.html or use Sage http://www.sagemath.org/.
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