I need a python code from scratch in jupyter without using advanced libraries.

Problem 2 (25 marks): Plot a color map and a contour plot of a function, and a histogram Here we want to define a function z of x and y coordinates: 7 sin Ax cos(y + r) B + x wherer = 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 = 21. The right hand panel should show the histogram of the values of z. for all the (N XN ) pixels. Make sure that you plot looks professional, e.g., 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