Question: Find the 3rd Maclaurin Polynomial of .f (x) = (1+x)7 Solution steps: a) What is the derivative of f (x) = (1+x) ? [ Select ] b) What is f" (x)? [ Select] c) What is fl" (x)? [ Select ] The definition of the 3rd Maclaurin polynomial is: f" (0) p3 (x) = f (0) + f' (0) x + p" (0) 23 Therefore we should evaluate the derivatives and the function at z = 0. d) What is f (0)? [ Select ] e) What is f' (0)? [ Select] f) What is f" (0)? [ Select] g) What is f" (0)? [ Select ] h) Putting everything together now, which of the below options is the correct 3rd Maclaurin Polynomial of f (x) = (1+x)? [Select ] Option I. p3 (2) = 1+ + - Option II. ps (2) %31+ 을0+222-3 Option III. p3 (x) = 2 + Option IV. p3 (x) = 1+. Ontion (m) 3. 3 3 3
Question: Find the 3rd Maclaurin Polynomial of .f (x) = (1+x)7 Solution steps: a) What is the derivative of f (x) = (1+x) ? [ Select ] b) What is f" (x)? [ Select] c) What is fl" (x)? [ Select ] The definition of the 3rd Maclaurin polynomial is: f" (0) p3 (x) = f (0) + f' (0) x + p" (0) 23 Therefore we should evaluate the derivatives and the function at z = 0. d) What is f (0)? [ Select ] e) What is f' (0)? [ Select] f) What is f" (0)? [ Select] g) What is f" (0)? [ Select ] h) Putting everything together now, which of the below options is the correct 3rd Maclaurin Polynomial of f (x) = (1+x)? [Select ] Option I. p3 (2) = 1+ + - Option II. ps (2) %31+ 을0+222-3 Option III. p3 (x) = 2 + Option IV. p3 (x) = 1+. Ontion (m) 3. 3 3 3
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
q3 6.3
![Question:
Find the 3rd Maclaurin Polynomial of .f (x) = (1+ x)
Solution steps:
a) What is the derivative of f (x) = (1+x) ?
[ Select ]
b) What is f" (x)?
[ Select]
c) What is fl" (x)?
[ Select ]
The definition of the 3rd Maclaurin polynomial is:
f" (0)
P3 (x) = f (0) + f' (0) x +
p"(0)
+
73
Therefore we should evaluate the derivatives and the function at z = 0.
d) What is f (0)? [ Select]
e) What is f' (0)?
[ Select]
f) What is f" (0)?
[ Select]
g) What is f" (0)?
[ Select ]
h) Putting everything together now, which of the below options is the correct 3rd Maclaurin Polynomial of f (x) = (1+x)? [Select ]
Option I. p3 (2) = 1+ + -
Option II. p3 (2) =1++ ? - 3
Option III. p3 (x) = 2 +* -2?
Option IV. p3 (x) = 1+x +x² –
Option V. p3 (æ) =1++a? +](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb135572d-be3e-4d79-80b6-f74226b0d76c%2F24887f18-485c-4219-b3e0-316bb09c422f%2Fecpb88_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question:
Find the 3rd Maclaurin Polynomial of .f (x) = (1+ x)
Solution steps:
a) What is the derivative of f (x) = (1+x) ?
[ Select ]
b) What is f" (x)?
[ Select]
c) What is fl" (x)?
[ Select ]
The definition of the 3rd Maclaurin polynomial is:
f" (0)
P3 (x) = f (0) + f' (0) x +
p"(0)
+
73
Therefore we should evaluate the derivatives and the function at z = 0.
d) What is f (0)? [ Select]
e) What is f' (0)?
[ Select]
f) What is f" (0)?
[ Select]
g) What is f" (0)?
[ Select ]
h) Putting everything together now, which of the below options is the correct 3rd Maclaurin Polynomial of f (x) = (1+x)? [Select ]
Option I. p3 (2) = 1+ + -
Option II. p3 (2) =1++ ? - 3
Option III. p3 (x) = 2 +* -2?
Option IV. p3 (x) = 1+x +x² –
Option V. p3 (æ) =1++a? +
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