answer in jupyter notebook

Here we want to define a function z of x and y coordinates: z=B+xsinAxcos(y+r) where r=x2+y2,A and B are constants. We then plot the function with a colour map and make a histogram giving some details about the map. In particular, please do the following: - Introduce a Python function that does the following (1) defines Numpy arrays x and y from a to b with N elements each; (2) computes the values of the function z as defined above; (3) accepts N,a and b as arguments and A and B as keywords with default values A=1,B=0;(4) return arrays x,y and the 2D Numpy array z. - Produce a figure with two panels side by side horisontally. The left hand side panel should show the colour map image and a contour plot (on the same image) of function z for A=1,B=1,N=100,a=0,b=2. The right hand panel should show the histogram of the values of z for all the ( NN ) pixels. Make sure that you plot looks professional, eg. has labels and the title. Test that your code works for B between 0 and 2 . - Compute and print in one line the mean of the function z(x,y) on the domain defined above. Use . format statement and the scientific notation with 4 digits after the floating point