Question

Use Stokes’ theorem to find Z Z S (∇ × F) · dS where F =...

Use Stokes’ theorem to find Z Z S (∇ × F) · dS where F = x 2 i + 2xzj + xyk and S is part of the cone z = p x 2 + y 2 that lies below the plane z = 2.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Use Stokes' Theorem to evaluate    S curl F · dS. F(x, y, z) = x2...
Use Stokes' Theorem to evaluate    S curl F · dS. F(x, y, z) = x2 sin(z)i + y2j + xyk, S is the part of the paraboloid z = 1 − x2 − y2 that lies above the xy-plane, oriented upward.
Use Stokes' Theorem to evaluate S curl F · dS. F(x, y, z) = x2 sin(z)i...
Use Stokes' Theorem to evaluate S curl F · dS. F(x, y, z) = x2 sin(z)i + y2j + xyk, S is the part of the paraboloid z = 1 − x2 − y2 that lies above the xy-plane, oriented upward.
Use Stokes" Theorem to evaluate (F-dr where F(x, y, z)=(-y , x-z , 0) and the...
Use Stokes" Theorem to evaluate (F-dr where F(x, y, z)=(-y , x-z , 0) and the surface S is the part of the paraboloid : z = 4- x^2 - y^2 that lies above the xy-plane. Assume C is oriented counterclockwise when viewed from above.
Use Stokes' theorem to find the flux curl ∫∫s (CurlG). dS where G(x,y,z) = <-xy2, x2y,...
Use Stokes' theorem to find the flux curl ∫∫s (CurlG). dS where G(x,y,z) = <-xy2, x2y, 1> and S is the portion of the paraboloid z = x2 + y2 inside the cylinder x2 + y2 = 1. Use an upward-pointing normal.
Use the Divergence Theorem to calculate the surface integral S F · dS; that is, calculate...
Use the Divergence Theorem to calculate the surface integral S F · dS; that is, calculate the flux of F across S. F(x, y, z) = ey tan(z)i + y 3 − x2 j + x sin(y)k, S is the surface of the solid that lies above the xy-plane and below the surface z = 2 − x4 − y4, −1 ≤ x ≤ 1, −1 ≤ y ≤ 1.
use stoke's theorem to find ∬ (curl F) * dS where F (x,y,z) = <y, 2x,...
use stoke's theorem to find ∬ (curl F) * dS where F (x,y,z) = <y, 2x, x+y+z> and and S is the upper half of the sphere x^2 + y^2 +z^2 =1, oriented outward
Use Stokes' Theorem to evaluate   ∫ C F · dr  where F  =  (x + 5z) ...
Use Stokes' Theorem to evaluate   ∫ C F · dr  where F  =  (x + 5z) i  +  (3x + y) j  +  (4y − z) k   and C is the curve of intersection of the plane  x + 2y + z  =  16  with the coordinate planes
Use the Divergence Theorem ∬SF⋅dS=∭D∇⋅FdV ∬ S F ⋅ d S = ∭ D ∇ ⋅...
Use the Divergence Theorem ∬SF⋅dS=∭D∇⋅FdV ∬ S F ⋅ d S = ∭ D ∇ ⋅ F d V to find ∬SF⋅dS ∬ S F ⋅ d S where F(x,y,z)=3x2i+2y2j+2z2k F ( x , y , z ) = 3 x^2 i + 2 y^2 j + 2 z^2 k and S is the surface of the rectangular solid bounded by − 6 ≤ x ≤ 2 , − 6 ≤ y ≤ 3 , and − 4 ≤ z...
Use Stokes' Theorem to evaluate   ∫ C F · dr  where F  =  (x + 8z) ...
Use Stokes' Theorem to evaluate   ∫ C F · dr  where F  =  (x + 8z) i  +  (6x + y) j  +  (7y − z) k   and C is the curve of intersection of the plane  x + 3y + z  =  24  with the coordinate planes. (Assume that C is oriented counterclockwise as viewed from above.) Please explain steps. Thank you:)
Use Stokes' Theorem to evaluate the surface integral ∬ G curl F ⋅ n d S...
Use Stokes' Theorem to evaluate the surface integral ∬ G curl F ⋅ n d S where F ( x , y , z ) = ( z 2 − y ) i + ( x + y z ) j + x z k , G is the surface G = { ( x , y , z ) | z = 1 − x 2 − y 2 , z ≥ 0 } and n is the upward...