a. Using P, (x), find .9 1. i. 1.1 1. b. Using P3(x), find i. .9 il. 1.1 c. Using a calculator, find the exact values to 8 decimal p reflect on each approximation from parts a and b. 1. 22 22 22 22

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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I need question number 3 handwritten only if you cn do handwritten and full question then only attempt pls otherwise better skip
2. Produce a generalformula for the nth degree Taylor Polynomial centered at x = 0.
a. f(x) = sin x
b. f(x) = cos x
c. f(x) =
%3D
%3!
1-x
3. Using your answer to question 2c, approximate the following to 8 decimal places:
a. Using P (x), find
i.
.9
i.
22
1.1
ii.
22
b. Using P3 (x), find
i.
.9
ii.
1.1
ii.
c. Using a calculator, find the exact values to 8 decimal places. Then take a moment to
reflect on each approximation from parts a and b.
i.
.9
iii.
22
Transcribed Image Text:2. Produce a generalformula for the nth degree Taylor Polynomial centered at x = 0. a. f(x) = sin x b. f(x) = cos x c. f(x) = %3D %3! 1-x 3. Using your answer to question 2c, approximate the following to 8 decimal places: a. Using P (x), find i. .9 i. 22 1.1 ii. 22 b. Using P3 (x), find i. .9 ii. 1.1 ii. c. Using a calculator, find the exact values to 8 decimal places. Then take a moment to reflect on each approximation from parts a and b. i. .9 iii. 22
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