PTU (Punjab Technical University) B.Pharmacy Third Semester May 2019 46221 PHARMACEUTICAL MATHEMATICS Question Paper
Total No. of Pages : 03
Total No. of Questions : 10
B.Pharma (2011 to 2016) (Sem.?3)
PHARMACEUTICAL MATHEMATICS
Subject Code : BPHM-301
M.Code : 46221
Time : 3 Hrs. Max. Marks : 80
INSTRUCTIONS TO CANDIDATES :
1.
SECTION-A is COMPULSORY consisting of FIFTEEN questions carrying T WO
marks each.
2.
SECTION-B contains FIVE questions carrying FIVE marks each and students
have to attempt ANY FOUR questions.
3.
SECTION-C contains FOUR questions carrying T EN marks each and students
have to attempt ANY T HREE questions.
SECTION-A
1.
Solve the following :
a) If a matrix has 8 elements, what are the possible orders it can have?
1 0
b) If A
find the value of 2A2 + 3I, where I is a unit matrix of order 2.
3 4
1 0 2
c) Find the value of determinant 2
1 1 .
0 4 2
d) If A is a square matrix of order 3 and |A| = 3 find the determinant value of 2A.
dy
e) Find
where y = x2 cos 3x.
dx
3
x 8
f) Find the value of limit Lt
.
x 2 x 2
dx
g) Evaluate the integral :
.
3
(2x 5)
h) Evaluate the integral sin 2x sin 3x d .
x
1 | M - 4 6 2 2 1
( S 4 ) - 2 1 2 5
i) Find the median of 5, 4, 1, 7, 3, 10, 15.
j) Find the value of x if mean of 3, 4, x, 5, 1 is 4.
k) Variance of a data containing 10 entries is 36, find its standard deviation.
l) Write the formula for coefficient of variation.
m) Define Binomial distribution.
n) Find the value of cos 75?
o) Express 2 cos 4x sin 2x as an algebraic sum of sines or cosines.
SECTION-B
2
1
2.
Find the inverse of matrix A
.
3 3
3.
Differentiate sin x
x
with respect to x.
4.
Evaluate
2
x log xd .
x
1 sin cos
5.
Prove that
tan
.
1 sin cos
2
6.
Find the median of the following distribution :
Class interval 0-10
10-20 20-30 30-40 40-50
Frequency
5
7
10
8
5
SECTION-C
7.
Solve the following by Cramer's rule :
6x + y ? 3z = 5
x + 3y ? 2z = 5
2x + y + 4z = 8
2 | M - 4 6 2 2 1
( S 4 ) - 2 1 2 5
dy
8.
a) Find
if x = 1 + sin t, y = t2 + 1
dx
dx
b) Evaluate the integral
( x 2) (x 3)
9.
Calculate the standard deviation of the following data :
X :
4
8
11
17
20
24
32
F :
3
5
9
5
4
3
1
10. a) Draw normal distribution curve and state any three properties of the curve.
1
b) Prove that cos 20? cos 40? cos 80?
8
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.
3 | M - 4 6 2 2 1
( S 4 ) - 2 1 2 5
This post was last modified on 05 November 2019