(c) The curves f(x, y) = x³+y-1 g(x, y) = y³r+1 intersect near the point (₁,3₁). Using the point (₁,9₁) as an initial approximation for the point of intersection of the curves, apply 1 iteration of Newton's Method to find an equation (in terms of 2₁, 3₁, Ar, and Ay₁) from which the coordinates ₂ and ₂ for the improved approximation for the point of intersection of the curves can be obtained. Show all details. and

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 22E
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(c) The curves
f(x, y) = x³+y-1
g(x, y) = y³r+1
intersect near the point (₁,₁). Using the point (₁,3₁) as an initial approximation for
the point of intersection of the curves, apply 1 iteration of Newton's Method to find an
equation (in terms of 2₁, 3₁, Ar, and Ay₁) from which the coordinates ₂ and ₂ for the
improved approximation for the point of intersection of the curves can be obtained. Show
all details.
and
Transcribed Image Text:(c) The curves f(x, y) = x³+y-1 g(x, y) = y³r+1 intersect near the point (₁,₁). Using the point (₁,3₁) as an initial approximation for the point of intersection of the curves, apply 1 iteration of Newton's Method to find an equation (in terms of 2₁, 3₁, Ar, and Ay₁) from which the coordinates ₂ and ₂ for the improved approximation for the point of intersection of the curves can be obtained. Show all details. and
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