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Newtons method?

by wildcat12
Tags: method, newtons
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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
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micromass
#2
Nov15-10, 05:38 PM
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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
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Newton's method will certainly work. Give it a try.


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