Download PTU B-Tech AE 2020 Dec 2nd Sem 54092 Engineering Mathematics Ii Question Paper

Download PTU (I.K.Gujral Punjab Technical University (IKGPTU)) B-Tech (Bachelor of Technology) (AE)-Automobile Engineering 2020 December 2nd Sem 54092 Engineering Mathematics Ii Previous Question Paper

Roll No.
Total No. of Pages : 02
Total No. of Questions : 08
B.Tech. (Aeronautical Engg./Aerospace Engg./ Automation &
Robotics/Automobile Engg./BT/CE/CSE/Electrical & Electronics
Engg./EE/ECE/Electronics & Electrical Engg./IT/ICE/Marine Engg./Mechanical
Engg./Petroleum Refinary Engg./Textile Engg.) (2012 to 2017) (Sem.?2)
ENGINEERING MATHEMATICS ? II
Subject Code : BTAM-102
M.Code : 54092
Time : 2 Hrs.
Max. Marks : 30
INSTRUCTIONS TO CANDIDATES :
1 .
Attempt any FIVE question (s), ea ch que stion c arrie s 6 ma rks .
3
5
e
e
1.
Sum the series e cos
cos 2
cos 5 ......
3
5
1
3
7
2.
Verify Cayley's Hamilton theorem for the matrix A
4 2 3
and hence obtain the
1
2
1
inverse of the given matrix.
3.
Test the convergence of the following series :
2
3
2
3
4
2
3
1
x
x
x ......
2!
3!
4!
4m 1
4.
a) Prove L ogi
where m, n are integers.
i
4n 1
2
b) Discuss the convergence of
n
ne
.
5.
Solve (2x2y ? 3y4) dx + (3x3 + 2xy3) dy = 0
6.
a) Solve : (1 + y2) dx = (tan?1 y ? x) dy
3x
e
b) Solve y 6 y 9 y
by variation of parameter method
2
x
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2
d y
dy
sin (log x) 1
7.
Solve 2
x
3x
y log x
.
2
dx
dx
x
8.
A constant electromotive force E volts is applied to a circuit containing a constant
resistance R ohms in series and a constant inductance L henries. If the initial current is
zero, show that the current builds up to half its theoretical maximum in (Llog2)/R
seconds.
Note: Any student found attempting answer sheet from any other person(s), using
incriminating material or involved in any wrong activity reported by evaluator shall be
treated under UMC provisions.
Student found sharing the question paper(s)/answer sheet on digital media or with any
other person or any organization/institution shall also be treated under UMC.
Any student found making any change/addition/modification in contents of scanned copy of
answer sheet and original answer sheet, shall be covered under UMC provisions.
2 | M-54092
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