1 E x² + y² + z² 2 = 25 and x² + y² + z² Evaluate J x² + y² + z² dV, where E lies between the spheres = 49 in the first octant.

determine the Loplace trans form df: 4 Apply the Convoluton theorem to fCE) = Jo re - 2 sin 3(t-T)dTT a C. "6S (s-2) (s?49) - 6. d.

4. Find дw b. dz a. дх at the point (x, y, z) = (0, 1, T) if w = x² + y? + z? and y sin z + z sin x = 0.

Use spherical coordinates to evaluate (2²+² +2²) ¹/4 dV, where E is the solid E 2 that lies between x² + y² +2²=1 and 2 2 x² + y² +²=4 given in the figure. 2 ZA x² + y² + z² = 4 x² + y² +2²=1

1 SE dV, where E lines between the spheres x² + y² + z² = 16 and x² + y² + z² 49 in the first octant. Evaluate x² + y² + 2² Calculator 1

at the point (-1.1) d)-플-1 If z = y sin(xy), find a) - 0.5 b)+1 c) - 2 g) None of them e) 0

SuoupnbI t)b X2 buisn su0unos pUH. tind the general solution u sing O=6p(I+ xU!S x) + xp (xs0hx + xuish) anos (T OF - M (x iy) and xp

1 Evaluate = √√√₂²² + 3² + 2² -dV, where E lies between the spheres z² + y² + E x² + y² + 16 in the first octant. = 4 and

et b) y" - 2y + y = t3