Enter your answers in the text boxes. Dr Van Schalkwyk wants to approximate the value of √27 by applying Newton's method to find the positive root of the equation f(x)=x²-2π = 0 He intends to perform three iterations and to apply four decimal place rounding in all computations. Suppose he uses the initial approximation x₁ = 1.3. If he makes no mistakes, then his iterations will yield: x2 = 3 =

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 39CT: The population P (in millions) of Texas from 2001 through 2014 can be approximated by the model...
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Enter your answers in the text boxes.
Dr Van Schalkwyk wants to approximate the value of √2 by applying Newton's method to find the positive root of the equation
f(x)=x²- 2π = 0
He intends to perform three iterations and to apply four decimal place rounding in all computations.
Suppose he uses the initial approximation x₁ = 1.3. If he makes no mistakes, then his iterations will yield:
*2 =
X3
=
4 =
Transcribed Image Text:Enter your answers in the text boxes. Dr Van Schalkwyk wants to approximate the value of √2 by applying Newton's method to find the positive root of the equation f(x)=x²- 2π = 0 He intends to perform three iterations and to apply four decimal place rounding in all computations. Suppose he uses the initial approximation x₁ = 1.3. If he makes no mistakes, then his iterations will yield: *2 = X3 = 4 =
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