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SAQ 4.1 Taylor's Theorem Name: Year & Course: Date: Instructor: 1. Find a Maclaurin series expansion for f(x) =.

SAQ 4.1 Taylor's Theorem Name: Year & Course: Date: Instructor: 1. Find a Maclaurin series expansion for f(x) =.

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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SAQ 4.1 Taylor's Theorem Name: Year & Course: Date: Instructor: 1. Find a Maclaurin series expansion for f(x) = e-2x 2. Find a Maclaurin series expansion for f(x) = tanx 3. Find a Maclaurin series expansion for f(x) = coshx 4. Find a Taylor series expansion around x = 2 for f(x) = Inx 5. Find a Taylor series expansion around x = 1 for f(x) = 6. Without solving the exact answver, calculate sin(2) by evaluating up to six terms of Maclaurin series of sin x. Express the answer to 5 significant digits. SAQ 4.2 Measuring of Errors Date: Instructor: Name: Year & Course: 1. Find the (a) true error and (b) relative error of the following: 9/ 10 1. The derivative of f(x) = x + 2x +1 at x = 0.5 when h = 0.05 2. The derivative of f(x) = 2-* at x = 3 when h = 0.025 3 The derivative of f(x)= In Y at r= 3 when h =0002 :::
Transcribed Image Text:SAQ 4.1 Taylor's Theorem Name: Year & Course: Date: Instructor: 1. Find a Maclaurin series expansion for f(x) = e-2x 2. Find a Maclaurin series expansion for f(x) = tanx 3. Find a Maclaurin series expansion for f(x) = coshx 4. Find a Taylor series expansion around x = 2 for f(x) = Inx 5. Find a Taylor series expansion around x = 1 for f(x) = 6. Without solving the exact answver, calculate sin(2) by evaluating up to six terms of Maclaurin series of sin x. Express the answer to 5 significant digits. SAQ 4.2 Measuring of Errors Date: Instructor: Name: Year & Course: 1. Find the (a) true error and (b) relative error of the following: 9/ 10 1. The derivative of f(x) = x + 2x +1 at x = 0.5 when h = 0.05 2. The derivative of f(x) = 2-* at x = 3 when h = 0.025 3 The derivative of f(x)= In Y at r= 3 when h =0002 :::
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