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Given the function f(x) = -2x³ + 12x² - 20x + 8,5 Using the Taylor series of order zero, one, two, and three, estimate the function at the point Xi+1= 0,5 based on the function value x₁= 0.

Given the function f(x) = -2x³ + 12x² - 20x + 8,5 Using the Taylor series of order zero, one, two, and three, estimate the function at the point Xi+1= 0,5 based on the function value x₁= 0.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 67E
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1. Given the function f(x) = -2x³ + 12x²-20x+8,5 Using the Taylor series of order zero, one, two, and three, estimate the function at the point X₁+1= 0,5 based on the function value x₁= 0. 2. Using the half-interval method, find the intersection between the curves y = e* and y = 3x by finding the root of 3* - 3x² = 0. The accuracy of the calculation is 0.5%
Transcribed Image Text:1. Given the function f(x) = -2x³ + 12x²-20x+8,5 Using the Taylor series of order zero, one, two, and three, estimate the function at the point X₁+1= 0,5 based on the function value x₁= 0. 2. Using the half-interval method, find the intersection between the curves y = e* and y = 3x by finding the root of 3* - 3x² = 0. The accuracy of the calculation is 0.5%
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