Which of the following statements are TRUE? Select all that apply. O If a=0 in a Taylor Polynomial then it is called a Maclaurin Polynomial. O If the 4th Maclaurin polynomial of a function f (x) is pa = -3 + 2x – + - then it must be true that f" (0) = . O If fi" (a) = 0 then the Taylor polynomial of f (a) at a = 0 is undefined. O If the 4th Maclaurin polynomial of a function f (x) is p4 = -3+ 2r - then it must be true that f' (0) = 2.
Which of the following statements are TRUE? Select all that apply. O If a=0 in a Taylor Polynomial then it is called a Maclaurin Polynomial. O If the 4th Maclaurin polynomial of a function f (x) is pa = -3 + 2x – + - then it must be true that f" (0) = . O If fi" (a) = 0 then the Taylor polynomial of f (a) at a = 0 is undefined. O If the 4th Maclaurin polynomial of a function f (x) is p4 = -3+ 2r - then it must be true that f' (0) = 2.
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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q2 6.3
Transcribed Image Text:Which of the following statements are TRUE?
Select all that apply.
O If a=0 in a Taylor Polynomial then it is called a Maclaurin Polynomial.
Sz
Ба
O If the 4th Maclaurin polynomial of a function f (x) is pa = -3+ 2x
then it must be true that f" (0) = .
6
4
O If f" (a) = 0 then the Taylor polynomial of f (æ) at a = 0 is undefined.
5a
O If the 4th Maclaurin polynomial of a function f (x) is p4 = -3+ 2x
then it must be true that f' (0) = 2.
4
8
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