a) Show that the equation f(x) = +sinx = 0 has at least one root in the interval 1,32b)Use bisection method to find the first three approximations of a solution of the equationS(x) = =+sinx = 0 in the interval 1,3].c)Find the number of iterations necessary to solve f(x):+sin x = 0 in 1,3| bybisection method and correct to within 10* .

To find - Show that the equation fx = -x2 + sinx = 0 has at least one root in the interval 1, 3…

a) Show that the equation f(x) = x- + sinx 0 has at least one root in the interval 1,3 b)Use bisection method to find the first three approximations of a solution of the equation -X- S(x) =- +sinx = 0 in the interval [1,3]. %3D c)Find the number of iterations necessary to solve f(x) = + sin x 0 in 1,3] by %3D %3D 2 bisection method and correct to within 10*.

a) Show that the equation f(x) = x- + sinx 0 has at least one root in the interval 1,3 b)Use bisection method to find the first three approximations of a solution of the equation -X- S(x) =- +sinx = 0 in the interval [1,3]. %3D c)Find the number of iterations necessary to solve f(x) = + sin x 0 in 1,3] by %3D %3D 2 bisection method and correct to within 10*.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

a) Show that the equation f(x) = +sinx = 0 has at least one root in the interval 1,3
2
b)Use bisection method to find the first three approximations of a solution of the equation
S(x) = =
+sinx = 0 in the interval 1,3].
c)Find the number of iterations necessary to solve f(x):
+sin x = 0 in 1,3| by
bisection method and correct to within 10* .

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