Problem 3: Based on the results of problem 2, find the rate of convergence of the methods used and list the results in a

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Problem 3 Based On The Results Of Problem 2 Find The Rate Of Convergence Of The Methods Used And List The Results In A 1 (31.21 KiB) Viewed 35 times

Problem 3 Based On The Results Of Problem 2 Find The Rate Of Convergence Of The Methods Used And List The Results In A 2 (47.5 KiB) Viewed 35 times

Problem 3 Based On The Results Of Problem 2 Find The Rate Of Convergence Of The Methods Used And List The Results In A 3 (47.5 KiB) Viewed 35 times

Problem 3: Based on the results of problem 2, find the rate of convergence of the methods used and list the results in a Table... why the results deviate from theoretical ones? Method Name Convergence rate, n (a) Bisection (b) Newton-Raphson (C) Newton-Raphson with derivative evaluated numerically (d) Secant method

Problem 2: Find one root (accurate to 3 significant digits: tol=104) of the nonlinear algebraic equation written below using the methods listed below. For each method, use hand calculations and hand-writing in detils for the first 2 iterations. For the rest of the iterations, use the computational tool you know best (excel, C++ or Matlab prgramming...etc). x? - 2.2x² = 5.31x - 7.812 (a) The Bisection method; find the bracket and calculate the number of iterations required to reach the tolerance stated. (b) The Newton-Raphson method (use exact derivative) with initial guess xo=0. (c) The Newton-Raphson method with the derivative evaluated numerically (use E =10**)... initial guess Xo=0. (d) The Secant Method with xo=0.33; x1=0.331 The termination criterion/tolerancelerror bound (all synonymous) is given above.