Question 9 Use your value of x to calculate a value for e* from the first four terms. Compare the answers to questions 7 and 8.
Question 9 Use your value of x to calculate a value for e* from the first four terms. Compare the answers to questions 7 and 8.
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
Solve q9 using data set that i attached
I also attached the answers of q7 and q8

Transcribed Image Text:Set of Data for Candidates
Q3
Q4
Q2
X
Y X Y
X
Y
1000
100 10
160
1050
176
100 11
1100 100 12
192
In
5
2
400
40
200
Question 9
Use your value of x to calculate a value for e* from the first four terms. Compare the answers to questions 7 and 8.
Candidate
Muhaimin
Yahya
Ameera
Q1
ACF
BBBC
А
DOO
1.0
1.1
1.2
2
2
2
Q5-6 Q7
A
A
BCC
BBA
Q9
1
2
32
Q10
1
2
4
![2
© (1+r)^= it (~ 2 )e+ (7)er (3)
A)(1+x)
+ ₂x -
2
= 1-2x + 3x² - 4x³ +...
the series is
By ratio test when Ixk1
convergent.
Ⓒ (1+2) ³ = 1+ 2) (15² (62) + (-1) (1) (2)
1x2
+....
1-3x + 6x² - 10x³-15x²+...
when
Converges
1~1 < 1
f"¹² (x) = = (+" (x)) = dx (ex) = ex
da
then f"" (0) = 6° = 1
Maclaurin series is
f(x) = f (0) + f² (0) x + f² ( 0 / / x² + ²
f"(0) 3
21
31
+
2
2
f(x) = 1 + x + x² + +
+
(= f(0) = f'(o) = f" (0)
f" (0)=1]
²
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9179dca4-1382-4ca9-9da8-9e16fe6cba84%2F5f773f00-a201-460b-a413-f538f42e7698%2Fxgxi63q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2
© (1+r)^= it (~ 2 )e+ (7)er (3)
A)(1+x)
+ ₂x -
2
= 1-2x + 3x² - 4x³ +...
the series is
By ratio test when Ixk1
convergent.
Ⓒ (1+2) ³ = 1+ 2) (15² (62) + (-1) (1) (2)
1x2
+....
1-3x + 6x² - 10x³-15x²+...
when
Converges
1~1 < 1
f"¹² (x) = = (+" (x)) = dx (ex) = ex
da
then f"" (0) = 6° = 1
Maclaurin series is
f(x) = f (0) + f² (0) x + f² ( 0 / / x² + ²
f"(0) 3
21
31
+
2
2
f(x) = 1 + x + x² + +
+
(= f(0) = f'(o) = f" (0)
f" (0)=1]
²
=
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