Using the equation f(x) = 3.14x2 – 10x + 2 and by using incremental search method, what is the interval of the root at the third iteration where the approximate value of the root was obtained? Start the procedure with the initial value of 0 and a step size of 0.1 (first iteration), then 0.01 (second), and lastly 0.01 (third). Group of answer choices [0.211, 0.212]  [0.212, 0.213] [0.213, 0.214] [0.214, 0.215]

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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Using the equation f(x) = 3.14x2 – 10x + 2 and by using incremental search method, what is the interval of the root at the third iteration where the approximate value of the root was obtained? Start the procedure with the initial value of 0 and a step size of 0.1 (first iteration), then 0.01 (second), and lastly 0.01 (third).
Group of answer choices

[0.211, 0.212] 

[0.212, 0.213]

[0.213, 0.214]

[0.214, 0.215]

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