For solving a nonlinear equation of the form: x = g(x), the following algorithm is available:...

 

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For solving a nonlinear equation of the form: x = g(x), the following algorithm is available: sn = g(x) - g(xn1) xnxn-1 wn = 1 1 - sn xn+1 = (1 w^)x^ + wng(x") (a) Apply the above algorithm to solve the following nonlinear equation, assuming x0 = 355 and so 355 and s = 0.0. Note that you have to calculate s" for n > 0. T = 7200 63-7.2 x ln(T) + 0.000004 T (b) What is the name of the method if s" is set to 0.0 in all iterations of the above algorithm? For solving a nonlinear equation of the form: x = g(x), the following algorithm is available: sn = g(x) - g(xn1) xnxn-1 wn = 1 1 - sn xn+1 = (1 w^)x^ + wng(x") (a) Apply the above algorithm to solve the following nonlinear equation, assuming x0 = 355 and so 355 and s = 0.0. Note that you have to calculate s" for n > 0. T = 7200 63-7.2 x ln(T) + 0.000004 T (b) What is the name of the method if s" is set to 0.0 in all iterations of the above algorithm?