5. Evaluate /// (y +z) dV where E is bounded by x = 0, y = 0, x2 + y2 + z2 = 1, and x2 + y2 + 2?" = 9. Use spherical coordinates. Answer must be exact values.
Evaluate SSS, (x² + y2 + z)ele?+y't??)? DV, where B is the unit ball: B={(x,y,z)/x² + y2 +2+ <1}
E = { (z, y, z) 1-2-y-0, 0-x-y, 0 〈 z 〈 x +92} Evaluate (2+ y-4z) dV where Preview
Question3: Evaluate SSE (x - y)dv, where E is the region enclosed by z= x2 – 1, z = 1 - x2, y = 0, and y = 2.
Evaluate the triple integral ∭E(x+6y)dV∭E(x+6y)dV where EE is bounded by the parabolic cylinder y=6x2y=6x2 and the planes z=8x,y=12x,z=8x,y=12x, and z=0z=0.
Let ∭E (yz)dV, where E = {(x,y,z)/ x = 1 - y^2 - z^2, x>=0} a. Sketch E, the solid of integration. b. Sketch D, the region of integration in the plane the solid is projected onto. c. Evaluate the integral using cylindrical coordinates.
Use cylindrical coordinates. Evaluate SIS x2 + y2 dv, where E is the region that lies inside the cylinder x2 + y2 = 4 and between the planes z = 3 and z = 12. x
Find: 1. Find (2x2 + y2) DV where Q = { (x,y,z) 0 < x <3, -2 <y <1, 152<2} ЛАЛ
Evaluate SSJ (+y– 32) 2V where E = {(x, y, z)| - 55y<0,0 < x <y, 0 <z<x+y?}
Evaluate ∫∫∫ E √ x 2 + y 2 + z 2 d V where E lies above the cone z = √ x 2 + y 2 and between the spheres x 2 + y 2 + z 2 = 1 and x 2 + y 2 + z 2 = 9 . df (76 KB) 2. Evaluate r2 + y2 + 22 dV x2 + y2 and between the spheres r? + y2 + 2 = 1 and...