Problem 1 (25 points) Consider the nonlinear equation: g(t)…

Problem 1 (25 points) Consider the nonlinear equation: g(t) = 3t3 – 2t = 0 Within some iterative solution procedure, the previous two approximations of a root have been ti-1 = 0.6 and ti = 0.7. Find the next approximation of the root ti+1, using (a) Regula falsi (b) Newton-Raphson On the other hand, if you are unable to find ti+1 with a particular method given ti-1 and ti, then explain the difficulty.