💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!
Get the answer to your homework problem.
Try Numerade Free for 30 days
Like
Report
Formulating Newton's method Write the formula for Newton's method and use the given initial approximation to compute the approximations $x_{1}$ and $x_{2}.$$$f(x)=x^{3}-2 ; x_{0}=2$$
$$x_{1}=1.5, x_{2} \approx 1.296$$
Calculus 1 / AB
Chapter 4
Applications of the Derivative
Section 8
Newton's Method
Missouri State University
Idaho State University
Boston College
Lectures
03:09
In mathematics, precalculu…
31:55
In mathematics, a function…
02:31
Formulating Newton's …
04:09
Write the formula for Newt…
05:01
02:35
02:40
02:11
07:15
00:44
Use Newton's method w…
00:34
02:06
Apply Newton's Method…
we need to find except one. And except to given that EPA backs is equal to X cubed minus two and accept zero is equal to two. We can see that the derivative of Apple Macs is want to be equal to three X squared. Now let's write down the news formula, which says X of and plus one is equal to x seven minus f of exit pin, divided by F prime of X event so that someone there's gonna be equal to two minus two cubed minus two is six and three times two squared is equal to 12. So that's going to be two miners, 1/2 or 1.5. Now, exit too is gonna be 1.5 minus and 1.5 cubed minus two is exactly 11/8 and three times 1.5 squared is going exactly 27/4. So after some calculation, that gives us exactly 35/27 or approximately 1.296 So those are our answers, except one is exactly 1.5, and X itude is approximately 1.296
View More Answers From This Book
Find Another Textbook
Numerade Educator
In mathematics, precalculus is the study of functions (as opposed to calculu…
In mathematics, a function (or map) f from a set X to a set Y is a rule whic…
Formulating Newton's method Write the formula for Newton's method …
Write the formula for Newton's method and use the given initial approxi…
Use Newton's method with the specified initial approximation $ x_1 $ to…
Apply Newton's Method to $f(x)$ and initial guess $x_{0}$ to calculate …
05:49
Baseball runners Runners stand at first and second base in a baseball game. …
01:28
Equal derivatives Verify that the functions $f(x)=\sin ^{2} x$ and $g(x)=-\c…
01:30
Approximate the change in the magnitude of the electrostatic force between t…
00:58
Sketch the graph of a smooth function $f$ and label a point $P(a,(f(a))$ on …
04:17
Antibiotic decay The half-life of an antibiotic in the bloodstream is10 …
04:45
Cobb-Douglas production function The output of an economic system $Q$, subje…
00:29
Find the derivative of the following functions.$y=\sqrt{f(x)},$ where $f…
05:31
Time-lagged flights An airliner passes over an airport at noon traveling $50…
01:36
100-m speed The Jamaican sprinter Usain Bolt set a world record of $9.58 \ma…
Verify that the following functions satisfy the conditions of Theorem 4.5 on…
Create an account to get free access
Join Numerade as a
By clicking Sign up you accept Numerade's Terms of Service and Privacy Policy
or sign up with
Already have an account? Log in
