Using stokes theorem (No point otherwise) find the F.dt, F vector=<z,-z,x^2-y^2> and C is the three lines in which z=8-4x-2y (plane) cuts the coordinate planes.
Please be detail, thanks.
Using stoke's theorem.
Using stokes theorem (No point otherwise) find the F.dt, F vector=<z,-z,x^2-y^2> and C is the three...
Using stokes theorem (No point otherwise) find the F.dt, F vector=<z,-z,x^2-y^2> and C is the three lines in which z=8-4x-2y (plane) cuts the coordinate planes. Please be detail, thanks. 5. USING STOKES THEOREM (NO POINTS OTHERWISE, FIND FocF, F={z LINES IN WHICH 258-4xby CIMKE COORDINATE PLANES (2, -2, x-x) AND CK THE THR 1 of 1
Use Stokes' Theorem to evaluate fF.dr where F = (x +92) i + (1x + y)j + (2y = z)k and C is the curve of intersection of the plane x + 3y +z = 12 with the coordinate planes. (Assume that C is oriented counterclockwise as viewed from above.)
using stokes theorem, set up integral that will calculate the circulationof the vector field Use Stokes' Theorem to find the integral which will calculate the circulation of the field F(x, y, z) = yzi + xzj + xyk where C is the intersection of the cylinder x + z2 = 9 and the planes z = 0, y = 0 and y = 1. Do not evaluate this integral.
(c) Let F be the vector field on R given by F(x, y, z) = (2x +3y, z, 3y + z). (i) Calculate the divergence of F and the curl of F (ii) Let V be the region in IR enclosed by the plane I +2y +z S denote the closed surface that is the boundary of this region V. Sketch a picture of V and S. Then, using the Divergence Theorem, or otherwise, calculate 3 and the XY, YZ...
4. Use Stokes' Theorem to evaluate F dr. F(x,y,z)-(3z,4x, 2y); C is the circle x2 + y2 4 in the xy-plane with a counterclockwise orientation looking down the positive z-axis. az az F dr-JI, (curl F) n ds and VGy, 1) Hint: use ax' dy
1. Confirm Stokes' theorem for the vector function F(x, y, z) = (z+y,4y, zxº) over the cone 2=4/x+y which has a total height of 16 in the z-direction. (See the diagram).
10. Stokes' Theorem and Surface Integrals of Vector Fields a. Stokes' Theorem: F dr- b. Let S be the surface of the paraboloid z 4-x2-y2 and C is the trace of S in the xy-plane. Draw a sketch of curve C in the xy-plane. Let F(x,y,z) = <2z, x, y?». Compute the curl (F) c. d. Find a parametrization of the surface S: G(u,v)- Compute N(u,v) e. Use Stokes' Theorem to computec F dr 10. Stokes' Theorem and Surface Integrals...
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 (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 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)