Download SGBAU B-Pharma 2019 Summer 2nd Sem Sem II Mathematics Old Question Paper

Download SGBAU (Sant Gadge Baba Amravati university) B.Pharma 2019 Summer (Bachelor of Pharmacy) 2nd Sem Sem II Mathematics Old Previous Question Paper

P. Pages : 3
Time : Three Hours
B.Pharm. Second Semester (Old)
35148 : Mathematics : 2.6
*05?5-
AW - 2294
Max. Marks : 60
Notes : 1. All question carry equal marks.
2. A)
B)
2. Answer any ?ve question from given 7 questions.
3. Use of slide rule logarithmic tables, Steam tables, Moller's Chart, Drawing
instrument, Thermodynamic table for moist air, Psychrometn'c Charts and
Refrigeration charts is permitted. Use of calculator is permissible.
4. Use of pen Bluc/Black ink/re?ll only for vwiting the answer book.
Attempt any three of following.
a) Prove that S?:c46(1?sin4 O)?2tan29=l
b) Area of circular sector of radius 12cm is 43.2 sq. cm ?nd it's perimeter.
38in x ~sin 3x
c) Evaluate lim 3
X?>0 x
l?sinx
d) Evaluate lim 2
x?m/Z (1: -2x)
Evaluate any two of following.
3) Find 9?3 if y= xx +3" +x3 +33
dx
b) Find 51 if y =(sin x)'?gx
X
c) Find 2?) ifx=acos36 y=asin39
x
Attempt any one of following.
a) Iff(x)=-l?_ci:K?X whcnx?0
x
= )6 when x = 0
is continuous at x = 0 then ?nd K.
b) Examine the function for maxima & minima where f ( x) = x3 ?6x2 +le -?8.
AW - 2294
P.T.O

C."
A)
B)
AW - 2294
Evaluate any three 01' following.
?()4X
a) Iff(x)= a - forx::4
VX?+9?S
=240 fOszt4
is continuous or discontinuous at x = 4 check.
b) Find derivative of c" by ?rst principle w.r.t x.
. - _ l"
c) y= sung tmdiza
(Ix
4x ,
d) Evaluate I? e d"
(?4)8' g 4
L +. )
Evaluate any two of tbllowing.
n?:
l
a) Evaluate ?v dx
1+ 1 j
0 lm\
.. . . ? w 7 . ? . . .
b) rmd area 01 Clrclc x? y? a~ usmg dchmtc 111tcgrullon.
2? ?e"
?- \
X '
c) Solve the D. E. 9
, X
\ ?e+c
Attempt any two 01? foflmsing.
a) Form the differemia! equation b) removing arbitrary constants ?'om
v =Ae3x + Be?Jx
b) Three coins axe tossed simultaneously ?nd probability that of getting
i) at most two tails. ii) at least two tails.
c) If P(A )=/ P(B )=/ [1nd]? (A?B) when A & B are independent events.
Evaluate any one of following.
a) IFP(A')=0.7 P(B)=0.7 P(Ij??k; 11nd P(A/B) & P(AUB).
b) [FA & B are any two L:\ cnts from sample space S then prove that
i) P(AUB):P(A)+P(B)?-P(A?B)
ii) P(A) + P(A') = l where A 6': A' are complements of each other.
to

6.
A) Write short notes on :
a) Bar diagram.
b) Pi' diagram.
B) Attempt any one of following.
21) Find mean, S. D. & ooet?f. of variation from dam
Class jo?wo 10?20 20?30 30?40 40?50
Frequency L 8 15 22 15 8
b) Find mean, mode & median from data.
Class 0?10 10?20 20?30 30?40 40-50J 50?60
I Frequency 5 10 20 9 6 A1
Attempt any one of following.
a) Calculate the coeff. of correl? between X & Y from the following data.
10 1 1 T 13 7
X
12
Y
I4
9'8
8 6
9111112 3
b) Find standard error 5?. ie. error ol?estimulion on y from following data.
AW - 2294
Fx 54 58 52 46 49 51 57 53 4o 50
[Y 34 36 40 50 52 48 46 44 56 64J
i********i:*
3
12
12