SECTION B (60 marks) Candidates must attempt THREE questions being careful to number them B9 to B18. B9. (a) Find zdz where the contour P is the curve y = r-x² joining the points (-1,-2) and (1,0) . (b) Evaluate the integral [8] z sin 2z where F is the contour |z- 1 = 1. [12] B10. (a Evaluate the indefinite integral d.x a4 + a4 where a > 0. (b) Show that (10 de 2 OP- a+b cos 0 for real numbers a and b such that la -62
SECTION B (60 marks) Candidates must attempt THREE questions being careful to number them B9 to B18. B9. (a) Find zdz where the contour P is the curve y = r-x² joining the points (-1,-2) and (1,0) . (b) Evaluate the integral [8] z sin 2z where F is the contour |z- 1 = 1. [12] B10. (a Evaluate the indefinite integral d.x a4 + a4 where a > 0. (b) Show that (10 de 2 OP- a+b cos 0 for real numbers a and b such that la -62
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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Please solve B9b....show clear working
![SECTION B (60 marks)
Candidates must attempt THREE questions being careful to number them B9 to B18.
B9.
(a) Find
zdz where the contour P is the curve y = r-x² joining the points (-1,-2)
and (1,0) .
[8]
(b) Evaluate the integral
z sin 2z
J. (4:2 – m²)2"
where F is the contour |z- 1 = 1.
[12]
B10.
(a Evaluate the indefinite integral
d.x
x4 + a4
where a > 0.
(b) Show that
(10)
-27
de
OP-
a+b cos 0
b2
for real numbers a and b such that la](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F347afb9f-d3eb-40fe-a407-c4814faebca2%2F876bd3bf-9aaf-4217-ac00-789ea047505b%2Fisxry0a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:SECTION B (60 marks)
Candidates must attempt THREE questions being careful to number them B9 to B18.
B9.
(a) Find
zdz where the contour P is the curve y = r-x² joining the points (-1,-2)
and (1,0) .
[8]
(b) Evaluate the integral
z sin 2z
J. (4:2 – m²)2"
where F is the contour |z- 1 = 1.
[12]
B10.
(a Evaluate the indefinite integral
d.x
x4 + a4
where a > 0.
(b) Show that
(10)
-27
de
OP-
a+b cos 0
b2
for real numbers a and b such that la
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