Osmania University (OU) 2012-4th Year B.E Mathematics 1, III Internal, 1/, Affiliated Vasavi College - Question Paper

SubMct M*thematic*-I Tunc 1 hour _Date-19 042012    Max Mark*'20

Part-A (3X2=6)

Answer *n (he QvecUons [1-2 31 1 FindtheoTthematrtx|2 1 21 U -S llJ

2. Test the converpace of J] -

K)'

40 ("l)*

3    Discuss the convergence of the series

Part-B (7X2=14)

Answer any two Questions

4    a) Redact the Quadratic form x²+3y*+3**-2yx lo canonical form    (4M) b) Discuss the convergence of J] _n?l+l X ]> 0 (3M)

>    I* ² 21

5j) Find the Inverse by usingCauss Jordon Mrthodof Hie matrix A=|o 2 M C.M iv-    ll I

b)Stateand prove Cayley - Hamilton theorem    (3M)

6j)Vcrifv Green's theorem In the phine tor (:** Hyfcfj 4 (4y - 6ty)dy where C K the region bounded by > < ,y    (^4M)

S.-

Attachment: osmania-university--ou--2012-b-e-48022-1.jpg

Earning:   Approval pending.