Use the graph method to apprroximate the root of f(x) = x³ + 3x-5, and use the provided graph paper.
Use the graph method to apprroximate the root of f(x) = x³ + 3x-5, and use the provided graph paper.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Do No a,b and c for me
![(a). Use the graph method to apprroximate the root of f(x) = x³ +3x-5, and use the provided
graph paper.
(b). Show that f(x) = x³+4x² - 10 = 0 has a root in the interval [1,2], and use the Bisection
method to determine an approximate solutions to the root that is accurate to at least within
10-4.
(c). Find an estimate for √2 that is correct to 6 decimal places, use the Bisection method to
approximate the solution in the interval [0,2].
(d). Use the Secant method to find solutions accurate within 10-5 for et +2x+2cosx-6=0
for [1,2].
(e). Use the Newton's method to find solutions accurate within 10-5 for et-3x² = 0 for [3,5].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1c044b69-454e-4f9e-8cd6-567ae6231ec2%2F72532bd7-732d-428d-82c5-82dde185ffd6%2Foj54l7i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(a). Use the graph method to apprroximate the root of f(x) = x³ +3x-5, and use the provided
graph paper.
(b). Show that f(x) = x³+4x² - 10 = 0 has a root in the interval [1,2], and use the Bisection
method to determine an approximate solutions to the root that is accurate to at least within
10-4.
(c). Find an estimate for √2 that is correct to 6 decimal places, use the Bisection method to
approximate the solution in the interval [0,2].
(d). Use the Secant method to find solutions accurate within 10-5 for et +2x+2cosx-6=0
for [1,2].
(e). Use the Newton's method to find solutions accurate within 10-5 for et-3x² = 0 for [3,5].
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