Download OU B.Sc 2019 Dec 1st Sem (1st Year ) 9007 Mathematics Question Paper

Download OU (Osmania University) B.Sc (Bachelor of Science) 2019 Dec 1st Sem (1st Year ) 9007 Mathematics Previous Question Paper

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E: :L Ia?nm FACULTY UF SCIENCE
E51? {CECE} Examinatunn. Nnuimbert chemhur 1U?
$uhjact : Mlthamatics {D?f?mntinl Ind Integral ?llinlus]
Paper? I
?u. Mirna; 3-D
TIME 1 a Huurs
PART? A [a n 4 = 3: Marks:
{Ehurt Anamrr Tm]
Hutu : Antiwar any EIGHT of tha tultuwing question.
FT FT
1 "?1: ?H = FEDS Iythen euatuate ?- ?
r5)! ['5'
2 If ?l.??= 2w 1 than Evaluate ?- 1'
3 +?.II' 431::th-
: -: ?1 1
3 H hr=iirl"'[Jr H ] thenshuwthah$+ HE =|anu.
.1 'I'_r !,"l. at...
T
4 lfH=ftv-E.z?H.x?ytthan shuwmat "f5 +?fi+?=ul
w. :25- EL-
lfz= th. x=at1, 14": Eatthem evaluate %
Expand fut. 5r} = x1 + Em; - yre as a Taytur's senes in pumn; at {x - 1} and h! - 21
Find the mdius utmwature turthe curve _r = E at Pitt. 11]].
.1?
Find the Bnuatupe at tl'II;1 t_am?y at curves 3 = m 1- + a ma.
Using Neman's mathnd. ?hd the radius at curvature fur the cum:
:3 +33 ? 2x3+ 63': n at the an'gin um. {21}.
15 Find H1eieng?tufthauuwey=x?tmmn =Dtux =4.
I
11 Findtttelangthufttvecumex=e"5in?.y=?ms?trum?=?tn?= E'
E?m-dmm
?12 Find the unlume of the ragiun generated by revolving the curve 3 = max . y = D tum
I:Dtnx=?ahautx-?a?is.
FA?T-B{4x12=4??nrk$}
{Essay Answer Type}
Huh: Wt ALL from the quantum.
"'11-ka 1 then Eh?w that
T?talffu=?ln . {H}?!
I-}-
?u En ,
' '?+ '-?=51l12u
{IJ t?l Jar
{I?ll r??+2n-?+v?i'f=n-4s.m=u1mu
' E11?" 'rh'?t' - a}.-
"2
DR

tape '1:- E??'r L
.3.
I" -'I _
{h} H- m u. 4]: ?_?. then using Eulars thenrem shew Ina!
l' 4-1:
'1 ?.' t:
I:-?':"+1.1_1'?f4l-r??T=U
III." FIE! c._ -'
14 [a] If fit 1:} passesses cnntmuuus 53mm nrder partial dEm??'?'E? f? am: 1., man
511ml math? = 1.,?
DR
{b1511uw that the minimum value at
1 I
' ll -
ut1.}-}= 135+"? + ?-? us 33?.
.r y
15 {3} Find lhe Mule uf the hyperboia 2x3 = a'.
' DH
[hJFindthaarnuehpeuHhacum [5] {:3 =I whama"+b"=c".
II
15 {:1} Shaw that the length GHI'IE tum: 11.: ai?-?u") memed {mm 01D. {:1 ti: P11 1")
ii a lug[?'+x]-I. "u,
?-J.?
a .. an
{b1Findmmmmwfmagaagdobgmauhmwmmammmmu
x=a[?+sh1#}.1f=h?$?3$?]
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