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erms of the Taylor Series for Vx centered at x = es for f(x) = x³ – 10x² + 6 at x = 3. the Taylor series for the following functions: a = 1

erms of the Taylor Series for Vx centered at x = es for f(x) = x³ – 10x² + 6 at x = 3. the Taylor series for the following functions: a = 1

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
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1. Determine the true error and relative true error when approximating the derivative of f(x) = -x² + 5x at x = 2 with h = 0.1. 2. Use the formula *+1)-7® to approximate the derivative of f(x) = 3x² at f(x+h)-f(x) h x = 1 using h = 0.1. Compute both the absolute true error and absolute relative true error. 3. Write out the first five terms of the Taylor Series for Vx centered at x = 1. 4. Evaluate the Taylor Series for f(x) = x³ – 10x² + 6 at x = 3. 5. Find the first 4 terms of the Taylor series for the following functions: a. Inx centered at a = 1 b. - centered at a = 1 C. sin x centered at a = 4
Transcribed Image Text:1. Determine the true error and relative true error when approximating the derivative of f(x) = -x² + 5x at x = 2 with h = 0.1. 2. Use the formula *+1)-7® to approximate the derivative of f(x) = 3x² at f(x+h)-f(x) h x = 1 using h = 0.1. Compute both the absolute true error and absolute relative true error. 3. Write out the first five terms of the Taylor Series for Vx centered at x = 1. 4. Evaluate the Taylor Series for f(x) = x³ – 10x² + 6 at x = 3. 5. Find the first 4 terms of the Taylor series for the following functions: a. Inx centered at a = 1 b. - centered at a = 1 C. sin x centered at a = 4
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