Download DBATU B.Tech 2019 Oct-Nov IT 3rd Sem Engineering Mathematics III Question Paper

Download DBATU (Dr. Babasaheb Ambedkar Technological University) B Tech 2019 Oct-Nov (Bachelor of Technology) IT 3rd Sem Engineering Mathematics III Question Paper

WIT;
'DR. BABASAHEB AMBEDKAR TECHNOLOGICAL UNIVERSITY, LONERE
' Mid Semester Examination ?Oct. 2019
Course: S Y. B. Tech. ALL 3
Subject Name; Engineering Mathematics?III
Max. Marks: 20 ? , ? Date: 03.10.2019
Semzlll
Subject Code:BTBS301
Du ration: 1Hr. '
:VVpIIisOry.
le calculator is allowed.
full marks. ,
Instructions: 1. All questions are c,
2. Use of nonprogra
3. Figures to right ind:
Ql. Attempt the foll'o'wing. (6Marks)
:1) Find Laplace transform of e?3?t" col
. .. ? 4'. i W 42 .
') (3+3)5 ii) (5+3)g i" ') (s+3)5 W) (?33?
b) The Laplace transform of sinZt 6(t *3 2)is .3 i. 3 col
V i) 9?2?sin2 ii) e?z?sin4 iii) 9 ?4?sin4 iv) e?zssinti-s
. l . 2_
c) Find Inverse Laplace Transform of {5 :1;ng c02
mm. 3t + 2:2~ ii) 133% 3t + 4t2iii) 133-6: + 2:2 iv) 1 '33 3t + 2:2
d)L-1[3Ni?3"]m~~w , , coz
i) t In f(t)dt/ ii) e?t f; f(t)dt iii) If f(t)dt iv) 1; f(t)dt '
* e) If F0?) Is FOurier transform of f(x) then Fourier transform of f(ax) Is
co3 .
i) 3F(?) ii) F(?) iii) '9? 33F(a) iv)3F(?)
f) Fourier cosine transform of f(tf) =23 ae?z?is ,, ? V co3
22 .. z ', ..r 21 .'2?2
Q2. Attempt aIIy Two of the followihg. (6Marks)
(A)Find L{ e? In t sint dt} , col
(B) Find Inverse Laplace Transform of log (3:21?) c02 ?
(C)Find Fourier cosine transform 9f V_e 3" co3
Q3. Attempt any ONE. 3 (6Marks)
. (A)Solve -+xw cost, %+y% w-?Sint
?02
such that 37(0):: 2, x(0)t?m'r? 0 by Laplace transform
(B) Findf(x)if 33(1) = 3:11 I ? co3
w. * II ?WM ? ? , , 393 I