1 Help Entering Answers 1 point) Use Stokes' Theorem to evaluateF.dr where F(x,y,z) 6yzi 3xzj +3e...
Help Entering Answers 1 point) Verify that Stokes' Theorem is true for the vector field F that lies above the plane z1, oriented upwards. 2yzi 3yj +xk and the surface S the part of the paraboloid z 5-x2-y To verify Stokes' Theorem we will compute the expression on each side. First computecurl F dS curl F0,3+2y,-2 Edy dx curl F dS- where x2 = curl F ds- Now compute F.dr The boundary curve C of the surface S can be...
(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...
Hii, please follow the steps in the problem. Nice handwriting and boxed answers are appreciated :) Thank you for your time and help! <3 <3 1 point) Use Stokes' Theorem to evaluate F dr where Fx,y,z)-(5x +y-.y +2.2z +) and C is the triangle with vertices (3,0,0), (0,3,0), and (0,0,3) oriented counterclockwise as viewed from above. Since the triangle is oriented counterclockwise as viewed from above the surface we attach to the triangle is oriented upwards curl F = |...
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.
Help Entering Answers (1 point) Verify that Stokes' Theorem is true for the vector field F = 3yd-2ǐ + 2xk and the surface S the part of the paraboloid z = 20-x2-y2 that lies above the plane z = 4, oriented upwards. To verify Stokes' Theorem we will compute the expression on each side. First computel curl F dS curl F- curl F. dS- EEdy di where curl F dS- Now compute F dr The boundary curve C of the...
Help Entering Answers (1 point) Verify that Stokes' Theorem is true for the vector field F = 2yzi + 3yj + xk and the surface S the part of the paraboloid Z-5-x2-y2 that lies above the plane z 1, oriented upwards. / curl F diS To verify Stokes' Theorem we will compute the expression on each side. First compute curl F <0.3+2%-22> curl F - ds - where y1 curl F ds- Now compute /F dr The boundary curve C...
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 evaluateF dr where C is oriented counterclockwise as viewed from above. C is the circle x2 + y2-9,2-6. Use Stokes' Theorem to evaluateF dr where C is oriented counterclockwise as viewed from above. C is the circle x2 + y2-9,2-6.
(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...
Use Stoke's Theorem to evaluate ScF. dr, where F(x, y, z) = -xzzi + y2zj + zºk and C is the curve of intersection of the planez = 1 – X – Y and the cylinder x2 + y2 = 1, oriented counterclockwise as viewed from above.