Given the function : f(x) = x³ + 5x² + 7x − 20; solve using Bisection Method with initial values of (1.000, 2.000) 1st iteration xn = 1.000 xp = 2.000 xnew = 1.500 2nd iteration xn = 1.000 xp = 1.500 xnew = 1.250 3rd iteration xn = 1.250 xp = 1.500 xnew = 1.375 4th iteration xn = 1.250 xp = 1.375 xnew = 1.312 5th iteration xn = 1.250 xp = 1.312 xnew = 1.281 f(xn) = -7.000 f(xp) = 22.000 f(xnew) = 5.125 f(x) = -7.000 f(xp) = 5.125 f(xnew) = -1.484 f(xn) = -1.484 f(xp) = 5.125 f(xnew) = 1.678 f(xn) = -1.484 f(xp) = 1.676 f(xnew) = 0.049 f(x) = -1.484 f(xp) = 0.049 f(xnew) = -0.726
Given the function : f(x) = x³ + 5x² + 7x − 20; solve using Bisection Method with initial values of (1.000, 2.000) 1st iteration xn = 1.000 xp = 2.000 xnew = 1.500 2nd iteration xn = 1.000 xp = 1.500 xnew = 1.250 3rd iteration xn = 1.250 xp = 1.500 xnew = 1.375 4th iteration xn = 1.250 xp = 1.375 xnew = 1.312 5th iteration xn = 1.250 xp = 1.312 xnew = 1.281 f(xn) = -7.000 f(xp) = 22.000 f(xnew) = 5.125 f(x) = -7.000 f(xp) = 5.125 f(xnew) = -1.484 f(xn) = -1.484 f(xp) = 5.125 f(xnew) = 1.678 f(xn) = -1.484 f(xp) = 1.676 f(xnew) = 0.049 f(x) = -1.484 f(xp) = 0.049 f(xnew) = -0.726
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
Related questions
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![Given the function : f(x) = x³ + 5x² + 7x − 20; solve using Bisection Method with initial values of (1.000, 2.000)
1st iteration
xn = 1.000
xp = 2.000
xnew = 1.500
2nd iteration
xn = 1.000
xp = 1.500
xnew = 1.250
3rd iteration
xn = 1.250
xp = 1.500
xnew = 1.375
4th iteration
xn = 1.250
xp = 1.375
xnew = 1.312
5th iteration
xn = 1.250
xp = 1.312
xnew = 1.281
f(xn) = -7.000
f(xp) = 22.000
f(xnew) = 5.125
f(x) = -7.000
f(xp) = 5.125
f(xnew) = -1.484
f(xn) = -1.484
f(xp) = 5.125
f(xnew) = 1.678
f(xn) = -1.484
f(xp) = 1.676
f(xnew) = 0.049
f(x) = -1.484
f(xp) = 0.049
f(xnew) = -0.726](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd41f4280-dd72-4dab-a749-04ca0f82717f%2Fc5c98f88-7af4-4b11-9e2a-b8ec6a53bd1d%2Fvf8wvhj_processed.png&w=3840&q=75)
Transcribed Image Text:Given the function : f(x) = x³ + 5x² + 7x − 20; solve using Bisection Method with initial values of (1.000, 2.000)
1st iteration
xn = 1.000
xp = 2.000
xnew = 1.500
2nd iteration
xn = 1.000
xp = 1.500
xnew = 1.250
3rd iteration
xn = 1.250
xp = 1.500
xnew = 1.375
4th iteration
xn = 1.250
xp = 1.375
xnew = 1.312
5th iteration
xn = 1.250
xp = 1.312
xnew = 1.281
f(xn) = -7.000
f(xp) = 22.000
f(xnew) = 5.125
f(x) = -7.000
f(xp) = 5.125
f(xnew) = -1.484
f(xn) = -1.484
f(xp) = 5.125
f(xnew) = 1.678
f(xn) = -1.484
f(xp) = 1.676
f(xnew) = 0.049
f(x) = -1.484
f(xp) = 0.049
f(xnew) = -0.726
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