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No. Signature .............. DIPLOMA EXAN4INATION IN ENGINEERING/TECHNOLOGY/MANAGEMENT/COMMERCIAL PRACTICE - APRIL. 20I9 ENGINEERING MATHEMATICS - II(Maximun marks : 100)PART - AlMrximun merks : I0.1I Arsrver a// questrons. Eacl.r questiou carries 2 marks.l. I'ind thc unit vector in the tiircction of Zi - :i +k. [77rae : 3 hours Marks 2. Eraliiate lsec o tan olran U Sec 0 3. lfA=[02 j] B:il 4*ll. findArB.;{. lntegratc scc2x - 1 rvith respect to x.5. Find the onler and degree ol'tire differential equatiol.4! * !:r +1.!L))= c\dxl'd\2'\,rrr-" (5xl-l(17 PART - B(Maximum marks : 30)ll Ansrver anv /ii,e. of thc fo)loi,r-rng questions. Each question carries 6 marks.I . f ind the dot protluct antl anglc berween the vectors r,1- li * :t ,,,,1 :i + j - t2. Find the niicldle terms in the cxpausion ol (x + 2i17l. Solvc by Cramer's rule. Givcn2x*-ly +z =- 1, x +4y-22:3, 4x-y +32:-ll-r rt q - [l il r.ntu rhar AA-r : ,\-tA : t.L+ v.l5. L,r,aluate ff12 .o.+* cos x dx.6. Obtain ihe r.oltune cf a sphc.re ttf ratlius 'r' using integration-7. Solve -4i +ycotx=2cosr. 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