## The Python Code

**Directions:**

Modify the Python code “my_contour_3d_demo3.py” to reproduce images similar to the figures shown on the right.

For each question, please submit both

a) the figure produced by the python code and

b) the altered code.

Note: It is important that you only include the code that you alter! Otherwise your submission will be much too large and will not be graded. I have included the answer to the first question to show you what I am expecting.

1.) z=(cos x cos y) e-(√(x^2+y^2))/4

a)

b)

Lines 10-14

# Set XY Plotting Grid

a1=-6.1;b1=6.1;

a2=-6.1;b2=6.1;

n=501;

Lines 24-29

# Define function to be plotted f(x,y)

def r(x,y):

return np.sqrt(x**2+y**2)

def f(x,y):

return (np.cos(x)*np.cos(y))*np.exp(-r(x,y)/4)

2.) z=(xy2)/(x2+y2)

3.) z=1/(4×2+y2)

4.) z=e(-y ) cos x

5.) z=(xy(x2-y2))/(x2+y2)

6.) z=y2-y4-x2

7.) z=1+cos(x2+y2)

8.) z=-4/(1+x2+2y2)

9.) z=-x/√(x2+y2)

10.) z=x4/(x4+y2)

11.) z=(2x2y)/(x4+y2)

12.) z=(2xy)/(x^2+y^2)

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