Download SGBAU B-Pharma 2019 Summer 1st Year Mathematics n Statistics New Question Paper

Download SGBAU (Sant Gadge Baba Amravati university) B.Pharma 2019 Summer (Bachelor of Pharmacy) 1st Year Mathematics n Statistics New Previous Question Paper

B.Pharm. - I First Year (Annual Pattern) (New Course)
35007 : Mathematics & Statistics; I-T-7
P. Pages : 2 AW - 2262
' u l; |
IWML'W' Max. Marks : 80
Time : Three Hours
Notes : 1. All question carry equal marks.
2. Answer any eight question.
3. Use of slide rule logarithmic tables, Steam tables, Mollier?s Chart, Drawing
instrument, Thermodynamic table for moist air. Psychrometric Charts and
Refrigeration charts is permitted. Use ofsimple calculator is permitted.
4. Use of pen Bluc/Black ink/rc?ll only for writing the answer Book.
1. Solve the following any two.
x x ?x _ 5
i) Evaluate lim E?+?b?+L??3
x?>0 X
_. ? ?. 5
ii) Evaluate lim -????3""X 351113 X
x?>0 x
. 2 - 5
iii) Evaluate Iim i"?"i
x?m/6 2 ? cos ecx
2. Solve the following.
? 5
i) If f(x)=]?co,Sk?x? for x?0
x?
= 8 for x = 0
15 continuous at x = 0 then ?nd K ,
.. 1? . 5
u) If f(x): cosx for x $0
x tan x
= l for x = 0
2
Then discuss the continuity at x ?, U
3. Solve the following
i) Find derivative ofcos x w. r. t. x by ?rst principle of derivatives. 5
, 5
ii) If y = xx +21x +xa +aa ?nd ~d;
dx
4. Solve the following
. . x dy 5
1 If '= smx ?nd?
) y ( ) dx
3 d r 5
ii) If x=asin3t y=acos?t?nd?
dx
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5. Divide 100 into two part: such as Ihdr )rnduct is. maximum.
6. Solve the following any two.
sex:2 I H; .\
i) Evaluate I (?1? ) x
x
2
ii) Evaluate Ix ex dx
0
' 7r/2 1
i1) Prove that j -~~ mdx = 71/4
0 l + cm x
7. Solve the following.
i) find the order & degree of T). F
d: y ldy
?' '?3 = V?
dx dx
ii) Form a differential equation by eliminating the arbitrary constants A & B from
3' = Ac? ~Be?3?
8. Solve the following.
i) Find L[c ?1?1
ii) Find lv,[t cos3t]
9. Solve the following.
i) Find mean mod_e& mgjjgn f?iroprf._}_1?1_bl_lgwl1 v data. __
Clzg??_:__ 19w ; 19:23 ?39730 . 30-40 40-59.
licaycwg? ?: __ 23 .___ 15__-?_
ii) Write short note on following.
a) Histogram bl Pi diagram
10. Find the coefficient of correlation bcl??~cg_1_X & :Y {mm the following data.
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10
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