Consider the following real 3rd order polynomial f (x)= x^3âˆ’ 5.5 x^2âˆ’ 5x+ 37.5 A) Use the...

50.1K

Verified Solution

Question

Advance Math

Consider the following real 3rd order polynomial
f (x)= x^3âˆ’ 5.5 x^2âˆ’ 5x+ 37.5
A) Use the bisection method to determine one of the roots,employing initial guesses of xl = - 10, xu = -1, and a stoppingcriterion Îµs=12% .
B) Use the false position method to determine a root, employinginitial guesses of xl = - 1, xu = 4, and a stopping criterionÎµs=3%. Was this method the best for these initial guesses?
C) Use the fixed point iteration to determine a root, employingan initial guess x0 = 7 and a stopping criterion Îµs=5%
D) Use the Newton-Raphson to determine a root, employing aninitial guess x0 = 7 and a stopping criterion Îµs=5%
Please please show all steps
Thank you

Answer & Explanation Solved by verified expert

4.4 Ratings (792 Votes)

Abisection method Let fxx355x25x375 1st iteration Here f10146250 Now Root lies between 10 and 1 x0101255 fx0f5555355552555375267750 3rd iteration Here f49450 Now Root lies between x04 See Answer

Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:

Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!

Become a Member