2. (a) Find the fourth-order Taylor polynomial Pa(x), and the remainder term of the function f (x) = cos [T (x + 1)] about xo -1. (b) Find the value of x that can be used in P4(x) in part (i) to approximate the value of cos (). (c) Use part (i) and (ii) to find an approximate value of cos find the absolute error if the true value is 3. Hence, NOTE: Take ™
2. (a) Find the fourth-order Taylor polynomial Pa(x), and the remainder term of the function f (x) = cos [T (x + 1)] about xo -1. (b) Find the value of x that can be used in P4(x) in part (i) to approximate the value of cos (). (c) Use part (i) and (ii) to find an approximate value of cos find the absolute error if the true value is 3. Hence, NOTE: Take ™
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![2. (a) Find the fourth-order Taylor polynomial Pa(x), and the remainder
term of the function
f (x) = cos [T (x + 1)]
about xo
-1.
(b) Find the value of x that can be used in P4(x) in part (i) to approximate
the value of cos ().
(c) Use part (i) and (ii) to find an approximate value of cos
find the absolute error if the true value is 3.
Hence,
NOTE: Take ™](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faf7963ce-77e7-4cdb-a67a-db8796a9e0b7%2F1dec10c6-8b89-4cb8-ae16-efa2073fabcf%2Fg2i1bjp_processed.png&w=3840&q=75)
Transcribed Image Text:2. (a) Find the fourth-order Taylor polynomial Pa(x), and the remainder
term of the function
f (x) = cos [T (x + 1)]
about xo
-1.
(b) Find the value of x that can be used in P4(x) in part (i) to approximate
the value of cos ().
(c) Use part (i) and (ii) to find an approximate value of cos
find the absolute error if the true value is 3.
Hence,
NOTE: Take ™
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