Question

In: Advanced Math

Use Stokes' Theorem to find the circulation of F⃗ =2yi⃗ +2zj⃗ +4xk⃗  around the triangle obtained by...

Use Stokes' Theorem to find the circulation of F⃗ =2yi⃗ +2zj⃗ +4xk⃗  around the triangle obtained by tracing out the path (3,0,0) to (3,0,4), to (3,4,4) back to (3,0,0).

Circulation = ∫CF⃗ ⋅dr⃗  =

Second time I've asked this question because chegg cant solve this problem correct. 24sqrt(2) is the wrong answer

Solutions

Expert Solution


Related Solutions

Use Stoke's Theorem to find the circulation of F⃗ =7yi⃗ +3zj⃗ +2xk⃗ around the triangle obtained...
Use Stoke's Theorem to find the circulation of F⃗ =7yi⃗ +3zj⃗ +2xk⃗ around the triangle obtained by tracing out the path (5,0,0) to (5,0,3) to (5,5,3) back to (5,0,0)
Use Stokes' theorem to compute the circulation F · dr where F = 8xyz, 2y2z, 5yz...
Use Stokes' theorem to compute the circulation F · dr where F = 8xyz, 2y2z, 5yz and C is the boundary of the portion of the plane 2x + 3y + z = 6 in the first octant. Here C is positively oriented with respect to the plane whose orientation is upward.
proof of the general stokes theorem using the greens and divergence theorem that is understandable by...
proof of the general stokes theorem using the greens and divergence theorem that is understandable by a calculus student
Write down Green’s Circulation Theorem. Explain when Green’s Circulation Theorem applies and when it does not....
Write down Green’s Circulation Theorem. Explain when Green’s Circulation Theorem applies and when it does not. Give an example of Green’s Circulation Theorem showing the function, the integral and drawing the region.
Derive Kelvin Stokes' theorem using differential equations
Derive Kelvin Stokes' theorem using differential equations
Answer the following using Binomial theorem and Pascal's Triangle: a. Find the middle term in the...
Answer the following using Binomial theorem and Pascal's Triangle: a. Find the middle term in the expansion of (4x – x3)14 b. Use Pascal’s triangle to expand (3x + 2y)6.
Use Stokes' Theorem to evaluate C F · dr where C is oriented counterclockwise as viewed...
Use Stokes' Theorem to evaluate C F · dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = (x + y2)i + (y + z2)j + (z + x2)k, C is the triangle with vertices (7, 0, 0), (0, 7, 0), and (0, 0, 7).
Use Stokes' Theorem to evaluate C F · dr where C is oriented counterclockwise as viewed...
Use Stokes' Theorem to evaluate C F · dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = xyi + 3zj + 7yk, C is the curve of intersection of the plane x + z = 10 and the cylinder x2 + y2 = 9.
Use Stokes' Theorem to evaluate C F · dr where C is oriented counterclockwise as viewed...
Use Stokes' Theorem to evaluate C F · dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = xyi + 3zj + 5yk, C is the curve of intersection of the plane x + z = 2 and the cylinder x^2 + y^2 = 144.
Use the divergence theorem to calculate the flux of the vector field F⃗ (x,y,z)=−5xyi⃗ +2yzj⃗ +4xzk⃗  through...
Use the divergence theorem to calculate the flux of the vector field F⃗ (x,y,z)=−5xyi⃗ +2yzj⃗ +4xzk⃗  through the sphere S of radius 2 centered at the origin and oriented outward. ∬SF⃗ ⋅dA⃗ =
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT