hence option a is correct.....
Questions Evaluate S 45ydo over the surface S, the first octant of the plane +2y+2z =...
plz onstruct and evaluate a surface integral that represents the work done by the vector field 8 in the first octant F(x,y,2)(x, 2z,3y), around the triangular section of the plane 2x+ traversed counterclockwise. onstruct and evaluate a surface integral that represents the work done by the vector field 8 in the first octant F(x,y,2)(x, 2z,3y), around the triangular section of the plane 2x+ traversed counterclockwise.
Construct and evaluate a surface integral that represents the work done by the vector field F(x, y, z)-(x, 2z, 3y), around the triangular section of the plane 2x + y + z traversed counterclockwise. 8 in the first octant Construct and evaluate a surface integral that represents the work done by the vector field F(x, y, z)-(x, 2z, 3y), around the triangular section of the plane 2x + y + z traversed counterclockwise. 8 in the first octant
it c 5. Find the surface aren of the part of first octant. e 2y-6 that lies in the of the part of the plane 3a2y
s - the first octant portion of zx2 over xa (b) (4 pts) Be sure to sketch the surface. s - the first octant portion of zx2 over xa (b) (4 pts) Be sure to sketch the surface.
solve parts b,d and f 2. Compute the integral of f over S where (a) f(ayz)xy+z.S is the region in the first octant with xy+ (b) f(xy.z)xxyz, S is the region defined in 2(a) (c) f(x,y.z) x + y2-xz, s is the region bounded by the x'y plane, the plane z (d) f(x,y,z) 2, and the cylinderx2 y z, s is the region in the first octant bounded by r2 + y2 + 2 4 (e) f(xy,z-2, s is the...
5. Calculate the surface area of the portion of the sphere x2+y2+12-4 between the planes z-1 and z ะไ 6. Evaluate (xyz) dS, where S is the portion of the plane 2x+2y+z-2 that lies in the first octant. 7. Evaluate F. ds. a) F = yli + xzj-k through the cone z = VF+ア0s z 4 with normal pointing away from the z-axis. b) F-yi+xj+ek where S is the portion of the cylinder+y9, 0szs3, 0s r and O s y...
(1 point) Let S be the part of the plane z 4 y which lies in the first octant, oriented upward. Evaluate the flux integral of the vector field F 2i + j + 3k across the surface S (with N being the unit upward vector normal to the plane). B.I 48 C. I 72 E. 1 24 (1 point) Let S be the part of the plane z 4 y which lies in the first octant, oriented upward. Evaluate...
-. (15 pts.) Let S is the first-octant portion of the plane 2x + y +z = 4. Evaluate the surface integral SSE (2y2 + 2yz) ds.
Set up, but do not evaluate, an iterated integral equal to the surface integral xyzds, where is the portion of the plane 2x + 3y + 4z = 12 in the first octant, (a) by projecting on the .cy-plane. C V29 155 122 xy (12 - 2x - 3y) dydx 16 V29 122 xy (12 - 2x - 3y) dxdy 16 IM 882 C V29 xy (12 - 4x – 2y) d ydx 16 12-18 V20 xy (12 - 4x...
Evaluate the surface integral. SSs yz ds S is the part of the plane x + y + z = 9 that lies in the first octant. 243V3