SUBJECTIVE (48) Notes AtaP TIRE out of FIVE questime (Al guestion curry oul marke) a) Dyin at the Mechani ente fact and we the rest to done late (x) for - 1<2<1. b) Find the Maclaurin's series for tan x. ustadni.com

SUBJECTIVE (48) Notes AtaP TIRE out of FIVE questime (Al guestion curry oul marke) a) Dyin at the Mechani ente fact and we the rest to done late (x) for - 1<2<1. b) Find the Maclaurin's series for tan x. ustadni.com Q. No. 3 a) Let f(x, y) = xe" + 5y. Find the slope of the surface z- f(x, y) in the x-dircetion at the point (3, 0). b) Let z=e* siny, Find бУ (x.0) Q. No. 4 Q. No. 5 a) If u -x'y+ y'z', where x=rse', y=rs'e"andz=r'ssint. Find the value of ds when r 2, $ = 1, t = 0. b) Find the Volgine of the solid by using triple integral. The solid in the first octant bounded by the coordinate planes and the plandex+ 6y + 42= 12w O. No. 6 2) Tar Taplace tranafor mation to shill bhar (cost) 3+1 *> 0. ustadni.com b) Find the Laplace transform of the following 50-10/23 320. Visit website: ustadni.com