Download GTU B.Pharma 2018 Summer 1st Sem 818807 Remedial Mathematics Question Paper

Download GTU (Gujarat Technological University) B.Pharma (Bachelor of Pharmacy) 2018 Summer 1st Sem 818807 Remedial Mathematics Previous Question Paper

Seat No.: _____ Enrolment No. _____________
GUJARAT TECHNOLOGICAL UNIVERSITY
Pharm D ? 1st Year ? EXAMINATION ? SUMMER - 2018
Subject Code: 818807
Date: 01/06/2018
Subject Name: Remedial mathematics
Time: 10:30am TO 01:30pm
Total Marks: 70
Instructions:


1. Attempt any five questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.

Q.1 (a) Given A(2,4) , B(6,8), C(a+4, 2a + b) and CA BC, find a.
06

(b)
3
4
1
04
Expand by SARRUS RULE (2
0
7 )
1 -3 -2

(c) If cos +sin = 2 cos, show that cos ? sin = 2sin
04



Q.2 (a) Solve the following simultaneous quations using cramer's rule.
06
x+ y+z =4, 2x-3y+4z=33, 3x-2y-2z=2.

(b) Prove that cos5+cos3 = cot x
04
sin 5-sin 3

(c) Show that points (1, 1), (2,3) and (3,5) are collinear.
04



Q.3 (a)
06
Using theorems prove that [2 2 2] = xyz(x-y)(y-z)(z-x)
3
3
3

(b) Evaluate
2-+3
lim
04
23+1

(c) Prove that sin10? sin 30? sin50? sin70? = 1/16.
04



Q.4 (a) Solve the differential equation:
06
xy = y+2 if y(1) = 1.

(b) Solve (xy2 +x) dx + (yx2+y) dy = 0.
04

(c) Solve the following differential equation
04
(1+x3) dy = x2y dx



Q.5 (a) If y = -cos , find .
06
+

(b) Solve: 2xy = x2+ 3y2
04

(c) Evaluate lim(1 + 2)1/
04
0



Q. 6 (a) Solve the following differential equation:
06
= 2(log+1)
sin +

(b) Evaluate: sin3x cos4x dx
04

(c) Solve : L-1 +4
(
)
04
2+4+8



Q.7 (a) Evaluate: 2
dx
06
2-7+12

(b) Find the Laplace transform of cos32t.
04

(c)
Evaluate: 2 2 dx.
04
0
***************

---