The following must be coded in MATLAB. Please help. Thanks in advance.

Problem 4: Recall the definition of a two-dimensional ellipse. yr Where the center of the ellipse is the point (x, ye) and the radii in each direction are given by x, and y. Now consider the intersection of two ellipses y 3 1) Sketch the two ellipses and estimate the two points of 2) Write a MATLAB code to use Newton's method to find 3) Test the code of part 2, using a variety of initial intersection. an intersection point. conditions and comment on how the initial condition will influence which intersection point is found. 4) Identify two ellipses that do not intersect. Test your algorithm on this set of equations that have no solution