Download OU B.Pharma 1st Year 2016 4035 Mathematics Question Paper

Download OU (Osmania University) B.Pharma 1st Year (Bachelor of Pharmacy) 2016 4035 Mathematics Previous Question Paper

.
1705 1705
Code No. 4035
FACULTY
B. Pharmacy I Year (Suppl.) Examination, November 2016
Subject : Mathematics
Time : 3 Hrs Max. Marks: 70
Note: Answer all questions. All questions carry equal marks.
1 (a) Find x from the equation a
x
. c
2x
= b
3x+1
.
(b) If
5
3
sin = ? and ? is acute, Find the value of
2 Tan? + 3 sec ?+ 4 sec ?. cosec ?
12
163
=
OR
(c) Find the value of lo
8
128.
(d) If
2
5
cot = ? and ? is acute show that
21
29
sin 2 cos 5
sin cos 5
=

+
? ? ? ? 2 (a) Use first principles to find the sin x derivative.
(b) Find the maxima and minima of the function
f(x)=3x
3
9x
2
27x + 30
OR
(c) If u = Tan
1
y x
y x
y x
?
?
?
?
?
?
?
?
?

+
,
3 3
show that u
y
u
y
x
u
x 2 sin =
?
?
+
?
?
(d) If z = 3x
2
2xy + 7y
2
. Find
x
z
?
?
and
y
z
?
?
.
3 (a) Find
?
+ x
dx
cot 1
(b) Evaluate? cos
3
x sin
4
x dx
OR
(c) Evaluate dx
x
x
?
+
4
sin 1
2 sin
(d) Find the area between the cubic y = x
3
and parabola of y = 4x
2
..2
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.
1705 1705
Code No. 4035
FACULTY
B. Pharmacy I Year (Suppl.) Examination, November 2016
Subject : Mathematics
Time : 3 Hrs Max. Marks: 70
Note: Answer all questions. All questions carry equal marks.
1 (a) Find x from the equation a
x
. c
2x
= b
3x+1
.
(b) If
5
3
sin = ? and ? is acute, Find the value of
2 Tan? + 3 sec ?+ 4 sec ?. cosec ?
12
163
=
OR
(c) Find the value of lo
8
128.
(d) If
2
5
cot = ? and ? is acute show that
21
29
sin 2 cos 5
sin cos 5
=

+
? ? ? ? 2 (a) Use first principles to find the sin x derivative.
(b) Find the maxima and minima of the function
f(x)=3x
3
9x
2
27x + 30
OR
(c) If u = Tan
1
y x
y x
y x
?
?
?
?
?
?
?
?
?

+
,
3 3
show that u
y
u
y
x
u
x 2 sin =
?
?
+
?
?
(d) If z = 3x
2
2xy + 7y
2
. Find
x
z
?
?
and
y
z
?
?
.
3 (a) Find
?
+ x
dx
cot 1
(b) Evaluate? cos
3
x sin
4
x dx
OR
(c) Evaluate dx
x
x
?
+
4
sin 1
2 sin
(d) Find the area between the cubic y = x
3
and parabola of y = 4x
2
..2
.
1705 1705
Code No. 4035
..2..
4 (a) Find the values of the determinant
b a a c c b
c b a
+ + +
1 1 1
(b) Solve the system of equations x + y + z = 1, 2x + 2y + 3z =6, x+4y+9z =3, by
matrix ?Inversion? method.
OR
(c) Find the value of x if 0
3 2 1
3 2 1
3 2 1
=
+

+
x
x
x
(d) If
?
?
cos sin
sin cos
? ? show that A. A
1
= A
1
.A=I.
5 (a) Write abt Linear and Non Linear raphs.
OR
(b) Find the equation of circle passin thrh the points (1, 1) (2, 1), (3, 2).
*****
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