Register to reply

Newtons method?

by wildcat12
Tags: method, newtons
Share this thread:
wildcat12
#1
Nov15-10, 04:54 PM
P: 9
1. The problem statement, all variables and given/known data
Find, correct to 6 decimal places, the coordinates of the points on the curve y=x^4 that are closest to the point (0,1)


2. Relevant equations



3. The attempt at a solution
I am not sure if i am supposed to use newtons method or not
Phys.Org News Partner Science news on Phys.org
An interesting glimpse into how future state-of-the-art electronics might work
Tissue regeneration using anti-inflammatory nanomolecules
C2D2 fighting corrosion
micromass
#2
Nov15-10, 05:38 PM
Mentor
micromass's Avatar
P: 18,246
Take an arbitrary point on the curve y=x^4. This has the form (x,x^4). What is the distance between this point and (0,1)??
You'll need to minimize this distance (or rather its square, to keep the calculations manageable).
vela
#3
Nov15-10, 05:39 PM
Emeritus
Sci Advisor
HW Helper
Thanks
PF Gold
P: 11,731
Newton's method will certainly work. Give it a try.


Register to reply

Related Discussions
Newtons Method - A little help Calculus & Beyond Homework 3
Newtons method and distance help Calculus & Beyond Homework 6
Newtons method. Calculus 2
Newtons method Calculus & Beyond Homework 3
Newtons method Calculus 5