Download OU Pharm D Question Paper 1st Year 2018 1242 Remedial Mathematics

Download OU (Osmania University) Pharm D (Doctor of Pharmacy) 1st Year 2018 1242 Remedial Mathematics Previous Question Paper

OU - 1701 OU - 1701
Code No.1242
FACULTY
Pharm D (6 ? YDC) I ? Year (Main & Backlog) Examination, July 2018
Subject: Remedial Mathematics
Time: 3 Hours Max.Marks: 70
Note: Answer all questions from Part ? A. Any Five questions from Part ? B.
PART ? A (10x2 = 20 Marks)
1 If A =
?
?
?
?
?
?
?
? -
3 0
1 1
andI =
?
?
?
?
?
?
?
?
1 0
0 1
, find AI.
2 If
?
?
?
?
?
?
?
?
0 3b
2a 0
=
?
?
?
?
?
?
?
?
0 9
6 0
then find a and b.
3 Find the slope of the joining points (x
1
, y
1
) and (x
2
, y
2
).
4 Find the center and radius of (x-a)
2
+ (y-b)
2
= r
2
.
5 Evaluate
?
2 /
0
sin
? x dx.
6 Find the order and degree of differential eqn.
() y y y 5
2
+ ? + ? ? = x
2
.
7 Solve x
2
dx +
y
1
dy = 0.
8 Find .
1
1 2
lim
2
1
-
+ -
?
x
x x
x
9 Find the Laplace transform of f(t) = t
3
+ e
-t
10 Find
x
u
?
?
and
y
u
?
?
if u(x, y, z) = x
2
+ xyz.
PART ? B (5x10 = 50 Marks)
11 a) If A =
?
?
?
?
?
?
?
?
1 0
0 1
and B =
?
?
?
?
?
?
?
?
- 0 1
1 0
then find (sin? )A + (cos? )B.
b) Show that
1 3 3
1 2 a 1 2a
1 1 2a 2a a
2
+ +
+ +
= (a-1)
3
.
12 a) If (A+B) = ? /4 then prove that (1+tan A) (1+ tan B) = 2.
b) If sin A =
13
12
and cos B =
5
3
then find sin
2
A + cos
2
A and sin
2
B + cos
2
B.
..2
FirstRanker.com - FirstRanker's Choice
OU - 1701 OU - 1701
Code No.1242
FACULTY
Pharm D (6 ? YDC) I ? Year (Main & Backlog) Examination, July 2018
Subject: Remedial Mathematics
Time: 3 Hours Max.Marks: 70
Note: Answer all questions from Part ? A. Any Five questions from Part ? B.
PART ? A (10x2 = 20 Marks)
1 If A =
?
?
?
?
?
?
?
? -
3 0
1 1
andI =
?
?
?
?
?
?
?
?
1 0
0 1
, find AI.
2 If
?
?
?
?
?
?
?
?
0 3b
2a 0
=
?
?
?
?
?
?
?
?
0 9
6 0
then find a and b.
3 Find the slope of the joining points (x
1
, y
1
) and (x
2
, y
2
).
4 Find the center and radius of (x-a)
2
+ (y-b)
2
= r
2
.
5 Evaluate
?
2 /
0
sin
? x dx.
6 Find the order and degree of differential eqn.
() y y y 5
2
+ ? + ? ? = x
2
.
7 Solve x
2
dx +
y
1
dy = 0.
8 Find .
1
1 2
lim
2
1
-
+ -
?
x
x x
x
9 Find the Laplace transform of f(t) = t
3
+ e
-t
10 Find
x
u
?
?
and
y
u
?
?
if u(x, y, z) = x
2
+ xyz.
PART ? B (5x10 = 50 Marks)
11 a) If A =
?
?
?
?
?
?
?
?
1 0
0 1
and B =
?
?
?
?
?
?
?
?
- 0 1
1 0
then find (sin? )A + (cos? )B.
b) Show that
1 3 3
1 2 a 1 2a
1 1 2a 2a a
2
+ +
+ +
= (a-1)
3
.
12 a) If (A+B) = ? /4 then prove that (1+tan A) (1+ tan B) = 2.
b) If sin A =
13
12
and cos B =
5
3
then find sin
2
A + cos
2
A and sin
2
B + cos
2
B.
..2
OU - 1701 OU - 1701
Code No.1242
-2-
13 a) Find the radius and center of the circle x
2
+ y
2
+ 2ax ? 2by + b
2
= 0.
b) Find the coordinates of vertex and focus and directors of the parabola y
2
= 25x.
14 a) If
2
5
lim
2
1
-
+ +
?
x
x ax
x
= 3 then find value of a.
b) If u ? sin
-1
?
?
?
?
?
?
+
-
y x
y x
3 3
then find x
x
u
?
?
+ y
y
u
?
?
.
15 a) Evaluate
?
2
1
log x dx.
b) Evaluate
?
+
4 /
0
2
-1
x 1
x tan
? x
dx.
16 a) Solve .
1
1
2
2
x
y
dx
dy
+
+
=
b) Solve
dx
dy
= e
ax+by
.
17 a) Find the Laplace transform of e
t
cos
2
t.
b) Show that L[af(t)+bg(t)] = aL[f(t)] + bL[g(t)].
18 a) Show that
4
) 2 tan(
lim
2
2
-
-
?
x
x
x
=
4
1
.
b) Evaluate
?
2
0
2 x
e x dx.
****
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