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Use Newton's Method to approximate the zero(s) of the function. Continue the iterations until two answers to four decimal places.) f(x) = -x³ + 2.7x2 + 3.55x - 2.422 Newton's method: Graphing utility: X = 1.429 X X = -1.4 X (smallest x-value) X X = 0.556 X X = 0.5 X = 3.074 X X = 3.1 X (largest x-value)

Use Newton's Method to approximate the zero(s) of the function. Continue the iterations until two answers to four decimal places.) f(x) = -x³ + 2.7x2 + 3.55x - 2.422 Newton's method: Graphing utility: X = 1.429 X X = -1.4 X (smallest x-value) X X = 0.556 X X = 0.5 X = 3.074 X X = 3.1 X (largest x-value)

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 the zero(s) of the function. Continue the iterations until two successive approximations differ by less than 0.001. Then find the zero(s) using a graphing utility. (Round your answers to four decimal places.) f(x) = -x³ + 2.7x2 + 3.55x - 2.422 Newton's method: Graphing utility: X = 1.429 X X = -1.4 X (smallest x-value) X = 0.556 X X = 0.5 X X = 3.074 X X = 3.1 X (largest x-value)
Transcribed Image Text:Use Newton's Method to approximate the zero(s) of the function. Continue the iterations until two successive approximations differ by less than 0.001. Then find the zero(s) using a graphing utility. (Round your answers to four decimal places.) f(x) = -x³ + 2.7x2 + 3.55x - 2.422 Newton's method: Graphing utility: X = 1.429 X X = -1.4 X (smallest x-value) X = 0.556 X X = 0.5 X X = 3.074 X X = 3.1 X (largest x-value)
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