This is a Matlab question.Please answer with matlab code. Appreciate!

Problem 2 This problem is worth 4 points While the square root function is well-known and easily available in MATLAB, as sqrt, the calculation behind it is not so straight forward. Geometrically, the calculation comes down to essentially having a square of size A, and determining the lengths of the sides of the square. We can start with a rectangle and simply improve upon the answer. For example, geometrically, let's say we wanted to calculate the square root of 500. We might start to think of the problem like this. A 500 A-500 X2 X1-20 A/x1 25 A/x2. We could then simply reduce our problem approach to solving a loop. Essentially, once we know the value of a 1 n the problem above, then z2 can be generalized with the following equation Without proof, I will tell you that it amounts to solving the following equation a series of times until you get convergence in the series. Convergence generally means that the difference between zk and a k+1 s below a certain threshold, often called a tolerance. It generally does not take too many iterations to converge, so we can display it in a table. However, the question remains a" what should be the initial guess? The Surface Area of the Earth is approximately 196,940,000 square miles. Assuming the earth is a perfect sphere, we will create an approximation of the Square Root and use it to calculate the Radius of the earth. You will need to do some math, using Area 4TRadius to calculate the Radius2 below. So, A Radius comparing to the example above. Evaluate the series above for the 4 following starting points. 0.01 Radius To