Answer to Question #17175 in C# for yo_jack

Question #17175
Use all programming techniques that you have learnt so far, approximate the root of f(x) = x3 - 3 with the bisection method starting with the interval [1, 2] and use εstep = 0.1 and εabs = 0.1. Write a flowchart for your design. Hints: Initial Requirement: We have an initial bound [a, b] on the root, that is, f(a) and (b) have opposite signs. Iteration Process: Given the interval [a, b], define c = (a + b)/2. Then •if f(c) = 0 (unlikely in practice), then halt, as we have found a root,. •if f(c) and f(a) have opposite signs, then a root must lie on [a, c], so assign b = c,. •else f(c) and f(b) must have opposite signs, and thus a root must lie on [c, b], so assign a = c.. Halting Conditions: There are three conditions which may cause the iteration process to halt: 1.As indicated, if f(c) = 0.. 2.We halt if both of the following conditions are met: ◦The width of the interval (after the assignment) is sufficiently small, that is b - a < εstep, and. ◦The function evaluated at one of the end point |f(a)| or |f(b)| < εabs.. . If we halt due to Condition 1, we state that c is our approximation to the root. If we halt according to Condition 2, we choose either a or b, depending on whether |f(a)| < |f(b)| or |f(a)| > |f(b)|, respectively.
1
Expert's answer
2012-10-24T09:19:14-0400

Unfortunately, your question requires a lot of work and cannot be done for free.
Submit it with all requirements as an assignment to our control panel and we'll assist you.

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be first!

Leave a comment

Ask Your question

LATEST TUTORIALS
New on Blog
APPROVED BY CLIENTS
paypal