You are designing a spherical tank to hold water for a small village in a developing country. The volume of liquid it can hold can be computed as: (3R-) where V is the volume, h his the depth of water and R is the radius of the tank. IfR3 m, what depth must the tank be filled to so that it holds 30 m?? Initial guess: 4 m a) Rearrange the equation in the form of x = g(x) so that it converges for the given initial guess. Show that it converges but do not solve. [3 marks) b) Use the Newton-Raphson method with two iterations and compare the answer with the true value of 2.0269 m. [5 marks] c) One possible root for the mathematical equation is 8.6139 m. Why can this answer not be accepted as a right answer? [2 marks] d) Even if you start with a guess value close to 8.6139, it converges to 2,0269 using the Newton Raphson method. Why does this happen? [3 marks] e) Will the Secant method speed up the convergence of the solution as compared to the Newton Fanh H thg 13 H | Question 1: For the year ending December 31,2018,Fritz Inc. reports net income $160,000 and dividends $85,000.Prepare the retained earning statement for the year assuming the balance in retained earnings on January 1,2018, was $240,000. (8 marks for retained earning statement;pr;2 marks for presentation=10 marks)