Newtons method?

by wildcat12
Tags: method, newtons
wildcat12 is offline
Nov15-10, 04:54 PM
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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 is online now
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 is offline
Nov15-10, 05:39 PM
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Newton's method will certainly work. Give it a try.

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