[solved]-Using The Bisection Method With A0 4 B0 5 To Estimate The Solution Of The Equation X 3 7x 2 15x 19 If C0 45 Find The Next 2 Iterations C1 C2 2using The False Position Method With A0 4 B0 5 T 59128

Using the bisection method with 0 = 4 , 0 = 5 to estimate thesolution of the equation 3 − 7 2 + 15 = 19, if 0 = 4.5 Findthe next 2 iterations 1 , 2 .(2)Using the False position method with 0 = 4 , 0 = 5 toestimate the solution of the equation 3 − 7 2 + 15 = 19, If 0= 4.6154, Find the next iteration 1 . 23)Using Fixed point theorem, show why the function ( ) = √2 + 53 has a fixed point in the interval [2,3]4) Show why the fixed-point iteration generated by the function ( ) = √2 + 5 3 converges in the interval [2,3](5) The point = 2 is a fixed point of the function ( ) = 2 + 1 . Show if it is attractive or repulsive and why. 6) The point = 3 is a zero of the function ( ) = 3 −7 2 + 15 − 9, Use Newton iteration to estimate the zero = 3,starting with 0 = 3.2 Find 1, 27) The point = 3 is a zero of the function ( ) = 3 − 7 2 +15 − 9, using Newton iteration to estimate the zero = 3, Findthe order of convergence and the asymptotic error constant .8) The point = 2 is a fixed point of the function ( ) = 2 +2 find the order of convergence of the fixed-point iterationgenerated by ( ) 49) If is x matrix, what is the cost of calculating 3 3 −2 10)Consider the following system of equations = 1 ( , , ) =3 2 − 2 3 + 2 , = 2 ( , , ) = 10 − 2 − 2 = 3 ( , , ) = 10 − 2 Use Gauss-Sidel iteration to find the 1st iterationgiven that the initial point is (3,2,4) 5 This page each problemworth 5 points11)Use newton method to find the 1st iteration of the followingsystem = 3 2 − 3 = 2 2 − 2 given that the initialestimation is (1.2, 3.4)12) Solve the following system of equations using Gaussianelimination with partial pivoting and three digits rounding 6.33 −0.113 = 6.10 10.2 + 0.182 = 10.6

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