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1. For each of the functions listed below, do a calculation by hand (i.e., with a calculator) to find the root. This process will take at most five iterations for all of these, and fewer for several of them. Solve using any method from bisection and Newton's method. (a) f (x) = x – e' , [ a, b ] = [ 0, 1]

1. For each of the functions listed below, do a calculation by hand (i.e., with a calculator) to find the root. This process will take at most five iterations for all of these, and fewer for several of them. Solve using any method from bisection and Newton's method. (a) f (x) = x – e' , [ a, b ] = [ 0, 1]

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter10: Exponential And Logarithmic Functions
Section10.2: Applications Of Exponential Functions
Problem 62PS
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Direction. Answer the following: Finds the roots of equations using required relative error dk < 0.001 1. For each of the functions listed below, do a calculation by hand (i.e., with a calculator) to find the root. This process will take at most five iterations for all of these, and fewer for several of them. Solve using any method from bisection and Newton's method. (a) f (x) = x – e-x? , [ a, b] = [ 0,1] (b) f (x) = In x + x, [ a, b ] = [ 10, 1 ] (c) f (x) = x³ – 3, [ a, b ] = [ 0, 3 ] (d) f(x) = 3 – 2*, [ a, b] = [ 0, 2]
Transcribed Image Text:Direction. Answer the following: Finds the roots of equations using required relative error dk < 0.001 1. For each of the functions listed below, do a calculation by hand (i.e., with a calculator) to find the root. This process will take at most five iterations for all of these, and fewer for several of them. Solve using any method from bisection and Newton's method. (a) f (x) = x – e-x? , [ a, b] = [ 0,1] (b) f (x) = In x + x, [ a, b ] = [ 10, 1 ] (c) f (x) = x³ – 3, [ a, b ] = [ 0, 3 ] (d) f(x) = 3 – 2*, [ a, b] = [ 0, 2]
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