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
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 67E
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There are 2 question. Please answer.!
![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%](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcb4d9407-5fc6-4b44-90fd-6966726d6e79%2F17d6ce24-4bc9-42fd-9ec9-6427578f9b66%2F02x5xjg_processed.jpeg&w=3840&q=75)
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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