Chapter 15, Section 15.8, Question 007 Use Stokes' Theorem to evaluate F dr F(x, y,z)3i 10x j+ 8y k where is the boundary of the paraboloid shown in the figure below. Chapter 15, Section 15....
15.8 a. Use Stokes' Theorem to evaluate fF.dr where F(x,y,z) = (32-2y)i + (4x – 3y)j + (z +2y)k and C is the boundary of the triangle joining the points (1, 0, 0), (0, 1, 0), and (0, 0, 1). b. Find F.dr where F = 2zi - xj + 3y2k and S is the portion of the plane 3x + 3y + 2z = 6 in the first octant and C is its boundary.
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).
. Problem #8: Use Stokes' Theorem to evaluate | F• dr where F = (x + 52)i + (6x + y)j + (7y - -)k and C is the curve of intersection of the plane x + 3y += = 12 with the coordinate planes. (Assume that C is oriented counterclockwise as viewed from above.) Problem #8: Just Save Submit Problem #8 for Grading Attempt #1 Attempt #2 Attempt #3 Attempt #4 Attempt #5 Problem #8 Your Answer: Your Mark:...
C is the curve of intersection of the paraboloid z (++y and the plane z 2x+2. 2. Evaluate [ F -dr using Stokes' Theorem. Choose the simplest surface with boundary curve C and orient it upward. C is the curve of intersection of the paraboloid z (++y and the plane z 2x+2. 2. Evaluate [ F -dr using Stokes' Theorem. Choose the simplest surface with boundary curve C and orient it upward.
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 (part A) line integral directly then use (part B) Stokes' Theorem 10. Use Stokes's Theorem to evaluate F dr where F(x, y, z) (3z 2y)i + (4x 3y)j + (z + 2y)k and C is the unit circle in the plane z (a) 67 (d) 12m 3. (b) TT (e) None of these (c) 3 TT 10. Use Stokes's Theorem to evaluate F dr where F(x, y, z) (3z 2y)i + (4x 3y)j + (z + 2y)k and C...
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.
1 Use Stokes' theorem to evaluate the integrals: F(x, y, z) dr a) where F(r, y,z)(3yz,e, 22) and C is the boundary of the triangle i the plane y2 with vertices b) where F(x, y,z (-2,2,5xz) and C is in the plane 12- y and is the boundary of the region that lies above the square with vertices (3,5, 0), (3,7,0),(4,5,0), (4,7,0) c) where F(x, y,z(7ry, -z, 3ryz) and C is in the plane y d) where intersected with z...
Use Stokes' Theorem to find SC F. dr where F(x,y,z) = (-y, x,x) and C is the curve of intersection of the plane y = 2 and the paraboloid y + x2 + z2 = 6. Show all work. Please select file(s) Select file(s)
(a) Use Stokes' Theorem to evaluate F. dr where F(x, y, z) - x2yi +1x3j+xyk and C is the curve of intersection of the hyperbolic paraboloid z - y2 - x2 and the cylinder x2 + y2 - 1 oriented counterclockwise as 3 viewed from above (b) Graph both the hyperbolic paraboloid and the cylinder with domains chosen so that you can see the curve C and the surface 1.0 1.0 0.5 у0,5 0.0 0,0 1.0 1.0 0.5 0.5 0.0...