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Use Newton's method to approximate all the intersection points of the following pair of curves. Some preliminary graphing or analysis may help in choosing good initial approximations. y = 36√x and y=x² +4 The graphs intersect when x (Do not round until the final answer. Then round to six decimal places as needed. Use a comma to separate answers as needed.)

Use Newton's method to approximate all the intersection points of the following pair of curves. Some preliminary graphing or analysis may help in choosing good initial approximations. y = 36√x and y=x² +4 The graphs intersect when x (Do not round until the final answer. Then round to six decimal places as needed. Use a comma to separate answers as needed.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Use Newton's method to approximate all the intersection points of the following pair of curves. Some preliminary graphing or analysis may help in choosing good initial approximations. y=36√√x and y=x². +4 C The graphs intersect when x (Do not round until the final answer. Then round to six decimal places as needed. Use a comma to separate answers as needed.)
Transcribed Image Text:Use Newton's method to approximate all the intersection points of the following pair of curves. Some preliminary graphing or analysis may help in choosing good initial approximations. y=36√√x and y=x². +4 C The graphs intersect when x (Do not round until the final answer. Then round to six decimal places as needed. Use a comma to separate answers as needed.)
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