Question $225$ points

Using the following $2-$D image $y(m,n)$ :

$y(m,n)=e^{-2(m+n)}sin(2m+\frac{}{4})+e^{-(m+n)}cos(3n+\frac{}{5})+2$

Provide Python commands that will:

a$)$ Evaluate $y(m,n)$ for with steps of $0\mathrm{.}001.$

b$)$ Show image $y(m,n)$ on the screen.

c$)$ Add Gaussian random noise to the image. Standard deviation of noise should be

Filter out this noise using the $33$ median filter. Show the filtered image.

d$)$ Rotate image $y(m,n)15$ degrees and show the rotated image.