Download PTU B.Sc IT (BCA) 2019 May 2nd Semester 10051 MATHEMATICS II Question Paper

Download PTU (Punjab Technical University) BSc IT (BCA) 2nd Semester 10051 MATHEMATICS II Last 10 Years 2020, 2019, 2018, 2017, 2016, 2015, 2014, 2013, 2012, 2011 and 2010 Previous Question Papers.

1 | M- 10051 (S3)-945

Roll No. Total No. of Pages : 02
Total No. of Questions : 07
B.Sc.(IT) (2015 & Onwards)/BCA (2013 & Onwards) (Sem.?2)
MATHEMATICS ? II
Subject Code : BSIT/BSBC-202
M.Code : 10051
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. Answer the following :
a) Define Symmetric matrix.
b) Find the transpose of
1 4
.
3 5
? ?
? ?
? ?
? ?

c) Define Invertible Matrix.
d) Define Mean.
e) State measures of dispersion.
f) Define Depreciation.
g) Find the derivative of e
sinx
.
h) Differentiate : x
3
+ 4x
2
? 3x + 5.
i) Find
1
x
dx
x ?
?

j) State Trapezoidal Rule.
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1 | M- 10051 (S3)-945

Roll No. Total No. of Pages : 02
Total No. of Questions : 07
B.Sc.(IT) (2015 & Onwards)/BCA (2013 & Onwards) (Sem.?2)
MATHEMATICS ? II
Subject Code : BSIT/BSBC-202
M.Code : 10051
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. Answer the following :
a) Define Symmetric matrix.
b) Find the transpose of
1 4
.
3 5
? ?
? ?
? ?
? ?

c) Define Invertible Matrix.
d) Define Mean.
e) State measures of dispersion.
f) Define Depreciation.
g) Find the derivative of e
sinx
.
h) Differentiate : x
3
+ 4x
2
? 3x + 5.
i) Find
1
x
dx
x ?
?

j) State Trapezoidal Rule.
2 | M- 10051 (S3)-945

SECTION-B
Q2. Test for consistency and solve : 2x ? 3y + 7z = 5, 3x + y ? 3z = 13, 2x + 19y ? 47z = 32.
Q3. Calculate the mean and standard deviation of the following :

Size 6 7 8 9 10 11 12
Frequency 3 6 9 13 8 5 4

Q4. Find the maximum and minimum value of 3x
4
? 2x
3
? 6x
2
+ 6x + 1 in the interval (0, 2).
Q5. Find the second derivative w.r.t. x if x = a cos
3
? & y = asin
3
?.
Q6. Evaluate :
2
0
logsin . x dx
?
?

Q7. Evaluate
6
2
0
1
1 x dx ?
?
by using (i) Trapezoidal rule. (ii) Simpson?s 1/3 Rule.









NOTE : Disclosure of Identity by writing Mobile No. or Making of passing request on any
page of Answer Sheet will lead to UMC against the Student.
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This post was last modified on 07 December 2019