Question

let ?(?)=(?+2)(?+1)?(?−1)3(?−2)f(x)=(x+2)(x+1)x(x−1)3(x−2). To which zero of ?f does the Bisection method converges when applied on the...

let ?(?)=(?+2)(?+1)?(?−1)3(?−2)f(x)=(x+2)(x+1)x(x−1)3(x−2).

To which zero of ?f does the Bisection method converges when applied on the interval [−3,2.5]

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1- Let the bisection method be applied to a continuous function, resulting in the intervals[a0,b0],[a1,b1], and...
1- Let the bisection method be applied to a continuous function, resulting in the intervals[a0,b0],[a1,b1], and so on. Letcn=an+bn2, and let r=lim n→∞cn be the corresponding root. Let en=r−c a. 1-1) Show that|en|≤2−n−1(b0−a0). b. Show that|cn−cn+1|=2−n−2(b0−a0). c Show that it is NOT necessarily true that|e0|≥|e1|≥···by considering the function f(x) =x−0.2on the interval[−1,1].
Let f(x) = x^3 + x - 4 a. Show that f(x) has a root on...
Let f(x) = x^3 + x - 4 a. Show that f(x) has a root on the interval [1,4] b. Find the first three iterations of the bisection method on f on this interval c. Find a bound for the number of iterations needed of bisection to approximate the root to within 10^-4
find solution bisection method x^2-5x+2 limit 3%
find solution bisection method x^2-5x+2 limit 3%
Q1: Use bisection method to find solution accurate to within 10^−4 on the interval [0, 1]...
Q1: Use bisection method to find solution accurate to within 10^−4 on the interval [0, 1] of the function f(x) = x−2^−x Q3: Find Newton’s formula for f(x) = x^(3) −3x + 1 in [1,3] to calculate x5, if x0 = 1.5. Also, find the rate of convergence of the method. Q4: Solve the equation e^(−x) −x = 0 by secant method, using x0 = 0 and x1 = 1, accurate to 10^−4. Q5: Solve the following system using the...
Consider the function f(x) = 1 2 |x|. a) Can we use bisection search to find...
Consider the function f(x) = 1 2 |x|. a) Can we use bisection search to find one of its roots? Why or why not? b) Can we use Newton’s method to find one of its roots? Why or why not?
Suppose that r is a double zero of the C2 function f, i.e., f(r) = f′(r)...
Suppose that r is a double zero of the C2 function f, i.e., f(r) = f′(r) = 0 but f′′(r) is not 0. Show that Newton’s method applied to f converges linearly with the asymptotic constant 1/2, i.e., show that lim n->infinity | x(n+1)−r | / | x(n)−r | = 1/2.
Let f(x)=〖2x〗^3-6x^2-18x+2 Find the interval(s) on which f is increasing and the interval (s) on which...
Let f(x)=〖2x〗^3-6x^2-18x+2 Find the interval(s) on which f is increasing and the interval (s) on which f is decreasing.
for f=(x^4)-(6.4*x^3)+(6.45*x^2)+(20.538*x)- 31.752; find the roots using bisection for five iterations
for f=(x^4)-(6.4*x^3)+(6.45*x^2)+(20.538*x)- 31.752; find the roots using bisection for five iterations
Suppose we modify the bisection method into the following variation: for each step, with bracketing interval...
Suppose we modify the bisection method into the following variation: for each step, with bracketing interval [a,b], approximations are chosen at the location (2a + b)/3, but the interval is cut into two at the different location (a + 3b)/4. (a) Calculate the first 2 approximations p1,p2 for this variation when f(x) = cosx−x with starting interval [0,π/2]. (b) Bound the absolute errors of the approximations pn for a starting interval of length L.
Let f have a power series representation, S. Suppose that f(0)=1, f’(0)=3, f’’(0)=2 and f’’’(0)=5. a....
Let f have a power series representation, S. Suppose that f(0)=1, f’(0)=3, f’’(0)=2 and f’’’(0)=5. a. If the above is the only information we have, to what degree of accuracy can we estimate f(1)? b. If, in addition to the above information, we know that S converges on the interval [-2,2] and that |f’’’’(x)|< 11 on that interval, then to what degree of accuracy can we estimate f(1)?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT