Download PTU B.Sc CS-IT 2020 March 1st Sem 70879 Calculus Question Paper

Download PTU (I.K. Gujral Punjab Technical University Jalandhar (IKGPTU) B-Sc CSE-IT (Bachelor of Science in Computer Science) 2020 March 1st Sem 70879 Calculus Previous Question Paper

1 | M - 7 0 8 7 9 ( S 3 ) - 4 8 6
Roll No. Total No. of Pages : 02
Total No. of Questions : 07
B.Sc. (Computer Science) (2013 & Onwards) (Sem.?1)
CALCULUS
Subject Code : BCS-102
M.Code : 70879
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 SIX questions carrying TEN marks each and students have
to attempt any FOUR questions.

SECTION-A
1. Write briefly :
a) What is Right hand limit & Left hand limit?
b) State algebra of limits.
c) Differentiate
2
1,( 0) cosh x x ? ? .
d) Define uniform continuity.
e) Define absolute values.
f) State Leibnitz theorem.
g) Test the curve y = x
4
for points of inflexion.
h) Find asymptotes of the curve r log ? = a.
i) State Maclaurin?s theorem with various form of remainder.
j) Find
1
lim 1
n
n
n
? ?
? ?
?
? ?
? ?
.

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1 | M - 7 0 8 7 9 ( S 3 ) - 4 8 6
Roll No. Total No. of Pages : 02
Total No. of Questions : 07
B.Sc. (Computer Science) (2013 & Onwards) (Sem.?1)
CALCULUS
Subject Code : BCS-102
M.Code : 70879
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 SIX questions carrying TEN marks each and students have
to attempt any FOUR questions.

SECTION-A
1. Write briefly :
a) What is Right hand limit & Left hand limit?
b) State algebra of limits.
c) Differentiate
2
1,( 0) cosh x x ? ? .
d) Define uniform continuity.
e) Define absolute values.
f) State Leibnitz theorem.
g) Test the curve y = x
4
for points of inflexion.
h) Find asymptotes of the curve r log ? = a.
i) State Maclaurin?s theorem with various form of remainder.
j) Find
1
lim 1
n
n
n
? ?
? ?
?
? ?
? ?
.

2 | M - 7 0 8 7 9 ( S 3 ) - 4 8 6
SECTION-B
2. State and prove theorem on uniqueness of a limit.
3. State and prove maximum and minimum values theorem.
4. State and prove intermediate value theorem.
5. a) Examine for convex upwards and point of inflexion of the curve y = x
4
? 2x
3
+ 1.
b) If y = sin
2
x cos 4x, find y
n
.
6. a) Find all the asymptotes of the curve x
4
? y
4
+ xy = 0.
b) If y = (sin
?1
x)
2
, then show that (1 ? x
2
) y
2
? xy
1
= 2. Hence or otherwise prove that
(1 ? x)
2
y
n+2
? (2n + 1) xy
n+1
? n
2
y
n
= 0
7. Trace the curve y = x / (x ? 1).









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


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