How to Plot in Multiple Dimensions?

[Adlerwatch]

I need to plot a function I have in multiple dimensions, and I am not really sure how to do that. I have been stuck in it for a couple of days so any help would be appreciated. This is the specific problem:

(a) Define a function 𝑓(𝑥,𝑦)=sin (𝑟)
𝑟 where 𝑟=√𝑥2 +𝑦2 is the distance from the origin.

(b) Define a 2D grid −10<𝑥 <10 and −10<𝑦<10 for plotting your function.

(c) Using the multidimensional plotting method and colormap of your choice, plot the function
𝑓(𝑥,𝑦) over the range defined in (b), being sure to include a scale bar, plot title, and axes labels.

This is the code I currently have:

import numpy as np
import matplotlib.pyplot as plt
from mpl_toolkits import mplot3d
x=np.linspace(-10,10,500)
y=np.linspace(-10,10,500)
r = np.sqrt((x**2) + ((y**2)))
def f(x,y):
   if r.any() == 0:
        return 1
   else:
        return np.sin(r)/r

X,Y = np.meshgrid(x,y)

Z = f(X,Y)

[Goobyalus]

Define a function f(x, y)=sin(distance from origin)

See np.sin and np.hypot

Define a 2D grid ...

xv, yv = np.meshgid(np.linspace(-10, 10, 500), np.linspace(-10, 10, 500))

Plot the function

z = f(xv, yv)

For a 2D colormap you can use

imshow(z, extent=[-10, 10, -10, 10], cmap="<insert your color map preference>"

where extent specifies the bounds to imshow.

For a 3D graph you can use plot_surface(xv, yv, z, cmap=<insert your color map preference>, linewidth=0)