Question

Use the Stokes theorem to write surface integral as line integral and calculate the area of...

Use the Stokes theorem to write surface integral as line integral and calculate the area of the surface enclosed between a parabola x = y^2 , and a circle x^2 + y^2 = 1.

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 the surface integral in​ Stokes' Theorem to calculate the circulation of the field F=x2i+5xj+z2k around...
Use the surface integral in​ Stokes' Theorem to calculate the circulation of the field F=x2i+5xj+z2k around the curve​ C: the ellipse 25 x squared plus 4 y squared equals 25x2+4y2=2 in the​ xy-plane, counterclockwise when viewed from above.
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...
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 Stokes' Theorem to evaluate the integral ∮CF⋅dr=∮C8z^2dx+8xdy+2y^3dz where C is the circle x^2+y^2=9 in the...
Use Stokes' Theorem to evaluate the integral ∮CF⋅dr=∮C8z^2dx+8xdy+2y^3dz where C is the circle x^2+y^2=9 in the plane z=0 .
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) = x4i − x3z2j + 4xy2zk, S is the surface of the solid bounded by the cylinder x2 + y2 = 9 and the planes z = x + 4 and z = 0.
Use Divergence theorem to evaluate surface integral S F ·n dA where S is the surface...
Use Divergence theorem to evaluate surface integral S F ·n dA where S is the surface of the solid enclosed by the tetrahedron formed by the coordinate planes x = 0, y = 0 and z = 0 and the plane 2x + 2y + z = 6 and F = 2x i − x^2 j + (z − 2x + 2y) k.
Use Stokes’ Theorem to calculate the flux of the curl of the vector field F =...
Use Stokes’ Theorem to calculate the flux of the curl of the vector field F = <y − z, z − x, x + z> across the surface S in the direction of the outward unit normal where S : r(u, v) =<u cos v, u sin v, 9 − u^2 >, 0 ≤ u ≤ 3, 0 ≤ v ≤ 2π. Draw a picture of S.
Stokes' Theorem is the generalization of the circulation form of Green's Theorem in the x y-plane....
Stokes' Theorem is the generalization of the circulation form of Green's Theorem in the x y-plane. Use Stokes' Theorem to write the circulation form of Green's Theorem in the y z-plane.
Use Green's Theorem to evaluate the line integral along the given positively oriented curve.    C...
Use Green's Theorem to evaluate the line integral along the given positively oriented curve.    C 3y + 7e x dx + 8x + 3 cos(y2) dy C is the boundary of the region enclosed by the parabolas y = x2 and x = y2
Use Green's Theorem to evaluate the line integral along the given positively oriented curve.    C...
Use Green's Theorem to evaluate the line integral along the given positively oriented curve.    C 3y + 7e x dx + 8x + 9 cos(y2) dy C is the boundary of the region enclosed by the parabolas y = x2 and x = y2