Question

Animations Slide Show Review Vio 24+ ΤΑ ΑΝΑ A Uebe x X Convert to SmartArt Plot curity updates, fores, and improvements, choose Check for Updates Question 1 (30 points). Use the Newton-Raphson method to estimate the root of: f(x) = ax? – (1 + b)e 0.2% + 3.2 employing an initial guess of Xo = 0. Evaluate only two iterations. a = Eighth digit of your student ID b Ninth (last) digit of your student ID

For A use number 1

For B use number 8

Answer 1

(ANS) f(1) = ar?- (+b)20-21 +3.2 f(1) = 72-9.00.28+3.2 f'ct) - 28- 1.8 20:28 : Initial guess: 00=0. first iteration : : - do - f(ro) f'(x0) qis 0. : 0-9(1) + 3.2 0 -1.8(1) nou ais - 3.222

second iteration ; X2 = x,- f. (11) feli). 22 (-3.222)9 2:26 0.2(-3. (3.222)-9e + 3.2 - 3.222 - 26-3.222) - 1.8 80.26-3.222) = -3.222 - 1 10.381.4.725 +3.2 1 -6.944 - 0.945 5 -3.222 - [ - 101985) > - 3. 227+ 1.1985 - -2.2035
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