Using Fixed-Point Iteration with an initial value of 3.5, find a value of x that will make the following function true with an error of less than 0.1%. f (2) = 3x² – e* = 0 Round-off intermediate values to 8 decimal places, and the final answer to 6 decimal places. Hint: First, isolate the " e" term. Then, "LN" of both sides of the equation. So, the iterative formula will be x+1 = LN(constant) + LN (a certain expression with x, ). For example: Tk+1 = In(8) + 6 In(rk) Recall: In(AB) = InA + InB and In(c) = din(c) 3.732170 3.731383 none of the choices 3.727177 3.732592 3.729915
Using Fixed-Point Iteration with an initial value of 3.5, find a value of x that will make the following function true with an error of less than 0.1%. f (2) = 3x² – e* = 0 Round-off intermediate values to 8 decimal places, and the final answer to 6 decimal places. Hint: First, isolate the " e" term. Then, "LN" of both sides of the equation. So, the iterative formula will be x+1 = LN(constant) + LN (a certain expression with x, ). For example: Tk+1 = In(8) + 6 In(rk) Recall: In(AB) = InA + InB and In(c) = din(c) 3.732170 3.731383 none of the choices 3.727177 3.732592 3.729915
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
Which among the choices is the correct answer?

Transcribed Image Text:Using Fixed-Point Iteration with an initial value of
3.5, find a value of x that will make the following
function true with an error of less than 0.1%.
f (x) = 3r – e" = 0
Round-off intermediate values to 8 decimal places,
and the final answer to 6 decimal places.
Hint: First, isolate the "e" term. Then, "LN" of
both sides of the equation.
So, the iterative formula will be x+1 = LN(constant)
+ LN (a certain expression with x, ).
For example: ak+1 = In(8) + 6 In(rk)
Recall: In(AB) = InA + InB and In(c) din(c)
3.732170
3.731383
none of the choices
3.727177
3.732592
3.729915
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps

Recommended textbooks for you

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,

