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Sketch on the same coordinate axes, the graphs of y-(x-1) and y=- x-2 Hence, deduce the number of roots of the equation x² - 4x +4x-2=0. Given that the positive root a of the equation lies in the interval (n, n+1), find the integer n. Using the Newton-Raphson method with the initial approximation x = 2.8, find the root a correct to three decimal places. Give a reason why x=n cannot be used as the initial estimate in above calculation.

Sketch on the same coordinate axes, the graphs of y-(x-1) and y=- x-2 Hence, deduce the number of roots of the equation x² - 4x +4x-2=0. Given that the positive root a of the equation lies in the interval (n, n+1), find the integer n. Using the Newton-Raphson method with the initial approximation x = 2.8, find the root a correct to three decimal places. Give a reason why x=n cannot be used as the initial estimate in above calculation.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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QUESTION 4 a. Sketch on the same coordinate axes, the graphs of y=(x-1) and y=- x-2 Hence, deduce the number of roots of the equation x² - 4x +4x-2=0. b. Given that the positive root a of the equation lies in the interval (n, n+1), find the integer n. c. Using the Newton-Raphson method with the initial approximation.x = 2.8, find the root a correct to three decimal places. d. Give a reason why x= cannot be used as the initial estimate in above calculation.
Transcribed Image Text:QUESTION 4 a. Sketch on the same coordinate axes, the graphs of y=(x-1) and y=- x-2 Hence, deduce the number of roots of the equation x² - 4x +4x-2=0. b. Given that the positive root a of the equation lies in the interval (n, n+1), find the integer n. c. Using the Newton-Raphson method with the initial approximation.x = 2.8, find the root a correct to three decimal places. d. Give a reason why x= cannot be used as the initial estimate in above calculation.
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