Question

Make a 3-D surface plot of the function ( z=cos (0.7 x+0.7 y) cos (0.7 x-0.7 y) ) in the domain ( -pi leq x leq pi ) and ( -pi leq y leq pi ).

Answer 1

To make a 3-D surface plot of the given function, use software like MATLAB or Python with libraries like Matplotlib or Plotly. Here is an example of how to plot it using Python and Matplotlib.

Step-by-step explanation:

To make a 3-D surface plot of the function z = cos (0.7x + 0.7y) cos (0.7x - 0.7y) in the domain (-π ≤ x ≤ π) and (-π ≤ y ≤ π), you can use software like MATLAB or Python with libraries such as Matplotlib or Plotly.

Here is an example of how to plot it using Python and Matplotlib:

import numpy as np
import matplotlib.pyplot as plt

x = np.linspace(-np.pi, np.pi, 100)
y = np.linspace(-np.pi, np.pi, 100)
x, y = np.meshgrid(x, y)
z = np.cos(0.7*x + 0.7*y) * np.cos(0.7*x - 0.7*y)

fig = plt.figure()
ax = plt.axes(projection='3d')

ax.plot_surface(x, y, z, cmap='viridis')

plt.show()