Download PTU B.Sc Agriculture 2019 May 2nd Semester 72360 MATHEMATICS II Question Paper

Download PTU (Punjab Technical University) BSc Agriculture 2nd Semester 72360 MATHEMATICS II Last 10 Years 2020, 2019, 2018, 2017, 2016, 2015, 2014, 2013, 2012, 2011 and 2010 Previous Question Papers.

1 | M-72360 (S2)-809
Roll No. Total No. of Pages : 02
Total No. of Questions : 09
B.Sc.(Agriculture) (2014 & Onwards) (Sem.?2)
MATHEMATICS ? II
Subject Code : BSAG-205A
M.Code : 72360
Time : 3 Hrs. Max. Marks : 60
INSTRUCTIONS TO CANDIDATES :
1. SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks
each.
2. SECTION-B contains FIVE questions carrying FIVE marks each and students
have to attempt any FOUR questions.
3. SECTION-C contains THREE questions carrying TEN marks each and students
have to attempt any TWO questions.

SECTION-A
Q1. Write briefly :
a) Define Horizontal asymptotes.
b) Find :
2 1
lim
3 1
n
n
n
? ?
?
?

c) Find the first derivative of (5x + 2) (4x + 3).
d) Define continuity.
e) Discuss the continuity of sine function.
f) Define Improper fraction.
g) Integrate tanx w.r.t. x
h) Evalute : sin x x dx
?

i) Evalute : cos 2 x x dx
?
.
j) Evaluate :
2
( ) x x dx ?
?
.
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1 | M-72360 (S2)-809
Roll No. Total No. of Pages : 02
Total No. of Questions : 09
B.Sc.(Agriculture) (2014 & Onwards) (Sem.?2)
MATHEMATICS ? II
Subject Code : BSAG-205A
M.Code : 72360
Time : 3 Hrs. Max. Marks : 60
INSTRUCTIONS TO CANDIDATES :
1. SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks
each.
2. SECTION-B contains FIVE questions carrying FIVE marks each and students
have to attempt any FOUR questions.
3. SECTION-C contains THREE questions carrying TEN marks each and students
have to attempt any TWO questions.

SECTION-A
Q1. Write briefly :
a) Define Horizontal asymptotes.
b) Find :
2 1
lim
3 1
n
n
n
? ?
?
?

c) Find the first derivative of (5x + 2) (4x + 3).
d) Define continuity.
e) Discuss the continuity of sine function.
f) Define Improper fraction.
g) Integrate tanx w.r.t. x
h) Evalute : sin x x dx
?

i) Evalute : cos 2 x x dx
?
.
j) Evaluate :
2
( ) x x dx ?
?
.
2 | M-72360 (S2)-809
SECTION-B
Q2. Prove that the greatest integer function [x] is not differentiable at x = 1.
Q3. Give the Geometrical interpretation of the derivative.
Q4. Find the derivative of log[(x + 2) (x
2
+ x)] w.r.t. x.
Q5. Evaluate : cos
x
e x dx
?
.
Q6. If f ?(x) = x
4
+ x
2
+ 9, then find f (x).

SECTION-C
Q7. If y = a sin(log x) + b cos(log x), then prove that
2
2
2
0.
d y dy
x x y
dx dx
? ? ?
Q8. Water is dripping out of the conical funnel, at the uniform rate of 2cc/sec through a tiny
hole at the vertex of the funnel. When the slant height of water is 5cm, find the rate of
decrease of the slant height of the water.
Q9. Integrate by the method of partial fraction
2
2 1
6
x
dx
x x
?
? ?
?
.







NOTE : Disclosure of identity by writing mobile number or making passing request on any
page of Answer sheet will lead to UMC case against the Student.

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