1.B. Altered Newtons Method: Write a program which will alter Newtons method when a multiple zero is involved. Use the examples of (x4)2 sin(x) and (x4)3 sin(x) as test cases. The algorithm should be able to identify the level of the zero ( p = 2 or 3 in the previous examples ), and alter its approach for a quadratic convergence rate. Demonstrate that it converges quadratically in both cases.