Lovely Professional University 2012 B.Tech Engineering Mathematics MTH102 (Reappear/Improvement Summer ) - Question Paper
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04. VofyGreefti Theorem In the pfcnefor J(jy+y,)dr+xty vrtwrtCfeth* doe* curve of the ngbn
c
beunMby yx end f16Mrks)
" partC ' 05. ObWn fte Fourtei k*nsion ferf(x)* x ska as a cosine sen* in (O.v) and Hence show that
U.3 3.5 + 5.7 - 4 (15Ma*.,
08. J) Using Convolution theorem firy} L'J (10]
I) Find inverse Laplace transform of log(l + ) [51 |1S Marks!
or. if tan { 6 + i0 ) - tana + iseca
Pwe 02 * COt~ end 20 = Tl+ ~ 7t + <X [ISMarksJ
08. (I)If # where r *(x2 + yJ * z1 show that Vj = (5)
r r
Find the directional derivative of **>* 2s at (l, I,-1) in the direction of 2i-2j+ks 15)
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j, () If then (a) Find the Gradient. (b) Find the Leplacn. [51 (15 Marks]
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