Use Stokes' Theorem to evaluate ∫??⋅??∫CF⋅dr,
where ?=−3?3?+3?3?+9?3?F=−3y3i+3x3j+9z3k and ?C is the
intersection of the cylinder ?2+?2=1x2+y2=1 and the plane
3?+4?+?=63x+4y+z=6 (oriented counterclockwise as seen from
above).
∫??⋅??=∫CF⋅dr=
Use Stokes' Theorem to evaluate ∫??⋅??∫CF⋅dr, where ?=−3?3?+3?3?+9?3?F=−3y3i+3x3j+9z3k and ?C is the intersection of the cylinder ?2+?2=1x2+y2=1...
Use Stokes' Theorem to evaluate / F. dr, where F = -7y’i + 7x'j + 2zk and C is the intersection of the cylinder x2 + y2 = 1 and the plane 1x + 4y + z = 9 (oriented counterclockwise as seen from above). [F.dr =
(1 point) Use Stokes' Theorem to evaluate / (2xyi + zj+ 3yk) dr where C is the intersection of the plane x z 8 and the cylinder x2 y9oriented counterclockwise as viewed from above. Since the ellipse is oriented counterclockwise as viewed from above the surface we attach is oriented upwards curl(2xyi+zj +3yk)- 2,0,-2x The easiest surface to attach to this curve is the interior of the cylinder that lies on the plane x + z-8. Using this surface in...
Let F = ( – 4y, 1x2, 322). Evaluate so . dr Where C is the intersection of the plane 9x + 4y +z = 2 and the cylinder a2 + y2 = 9, positively oriented as seen from above. Assume the conditions of Stoke's Theorm have been met. answer = 7
please show all work Use Stokes' Theorem to evaluate Sc F. dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = xyl +22+ 4yk, C is the curve of intersection of the plane X + 2 = 10 and the cylinder x2 + y2 - 36.
Use Stokes' Theorem to evaluate F. dr where Cis oriented counterclockwise as viewed from above. F(x, y, z) - xy + 27 + 6yk, C is the curve of intersection of the plane X + 2-1 and the cylinder + 9.
1 Help Entering Answers 1 point) Use Stokes' Theorem to evaluateF.dr where F(x,y,z) 6yzi 3xzj +3e k and C is the circy4,z 5 oriented counterclockwise as viewed from above Since the circle is oriented counterclockwise as viewed from above the surface we attach to the circle is oriented upwards The easiest surface to attach to this curve is the disk x2 + y2 < 4, z-5. Using this surface in Stokes' Theorem evaluate the following. F-dr = where sqrt(4-xA2) sqrt(4-x^2)...
Use Stokes' Theorem to evaluate $cF. dr, where C is the boundary of the surface S: z = 4 - 22 - y2 with 2 > 0, and is oriented counterclowise as viewed from above, F(x, y, z) = 2zi + 3aj + 5yk.
Use Stokes' Theorem to evaluate C F · dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = yzi + 3xzj + exyk, C is the circle x2 + y2 = 16, z = 8.
Use Stokes' Theorem to evaluate the line integral $cF. dr, where F(x, y, z) = xyzi+yj + zk. S is the surface 3x + 4y + 2z = 12 in the first octant, and is the boundary of S with counterclockwise orientation (from above).
Use Stokes' Theorem to evaluate the line integral $cF. dr, where F(x, y, z) = (-y+z)i + (x – z)j + (x – y)k. S is the surface z = V1 – 22 – y2, and C is the boundary of S with counterclockwise orientation (from above).