PRMIA Exam 8007 Topic 1 Question 76 Discussion

Actual exam question for PRMIA's 8007 exam

Question #: 76
Topic #: 1

[All 8007 Questions]

The Newton-Raphson method

Ais based on finding a middle point between left and right end of the search interval

Bis based on Taylor series and uses the first derivative

Ccan be used for continuous but not differentiable functions

Ddoes provide an error bound along with every iteration

Show Suggested Answer

Suggested Answer: B

by Stefanie at Jul 03, 2024, 06:22 PM

Limited Time Offer

25%

Off

Get Premium 8007 Questions as Interactive Web-Based Practice Test or PDF

Contribute your Thoughts:

Submit Cancel

William

4 months ago

Wait, is the Newton-Raphson method the one where you find the middle point? I'm getting my numerical methods mixed up here.

upvoted 0 times

Dahlia

3 months ago

D) does provide an error bound along with every iteration

upvoted 0 times

...

Arminda

3 months ago

C) can be used for continuous but not differentiable functions

upvoted 0 times

...

Tyra

3 months ago

B) is based on Taylor series and uses the first derivative

upvoted 0 times

...

Cordelia

3 months ago

A) is based on finding a middle point between left and right end of the search interval

upvoted 0 times

...

Carole

4 months ago

An error bound with every iteration? That would be super useful. I hope the answer is D!

upvoted 0 times

Inocencia

2 months ago

Victor: Absolutely, having an error bound can give us more confidence in the results we obtain.

upvoted 0 times

...

Victor

2 months ago

That's great to know. It really helps in understanding the convergence of the method.

upvoted 0 times

...

Felix

2 months ago

Yes, the answer is D! The Newton-Raphson method does provide an error bound with every iteration.

upvoted 0 times

...

Sue

3 months ago

It definitely helps in tracking the accuracy of the approximation as you iterate.

upvoted 0 times

...

Avery

3 months ago

Yes, you're right! That's one of the advantages of the Newton-Raphson method.

upvoted 0 times

...

Shelba

4 months ago

I think the answer is D, it does provide an error bound with every iteration.

upvoted 0 times

...

Alease

4 months ago

Actually, the Newton-Raphson method does provide an error bound along with every iteration.

upvoted 0 times

...

Natalya

4 months ago

Hmm, I thought it could be used for continuous but not differentiable functions. Guess I'll have to review that part of the material.

upvoted 0 times

Gilberto

4 months ago

Yeah, it does provide an error bound along with every iteration.

upvoted 0 times

...

Sheron

4 months ago

I always thought it was based on Taylor series and uses the first derivative.

upvoted 0 times

...

Lynette

4 months ago

I believe the method can be used for continuous but not differentiable functions.

upvoted 0 times

...

Orville

4 months ago

I agree with Polly, it makes sense to use the first derivative for finding roots.

upvoted 0 times

...

Polly

4 months ago

I think the Newton-Raphson method is based on Taylor series and uses the first derivative.

upvoted 0 times

...

Brandon

4 months ago

The Newton-Raphson method is definitely based on the Taylor series and the first derivative. I remember learning that in my calculus class.

upvoted 0 times

Felicitas

3 months ago

It's definitely a powerful tool in mathematics.

upvoted 0 times

...

Lonna

4 months ago

I remember using it a lot in my numerical analysis class.

upvoted 0 times

...

Shalon

4 months ago

It's a really efficient method for finding roots of equations.

upvoted 0 times

...

Isabella

4 months ago

Yes, you're right! The Newton-Raphson method does use the first derivative.

upvoted 0 times

...