Question

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.

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 (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 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.
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 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) = 5yi + xzj + (x + y)k, C is the curve of intersection of the plane z = y + 7 and the cylinder x2 + y2 = 1.
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...
Use Stokes' Theorem to evaluate ∫ C F ⋅ dr. In each case C is oriented...
Use Stokes' Theorem to evaluate ∫ C F ⋅ dr. In each case C is oriented counterclockwise as viewed from above. F ( x , y , z ) = e − x ˆ i + e x ˆ j + e z ˆ k C is the boundary of the part of the plane 2 x + y + 2 z = 2 in the first octant ∫ C F ⋅ d r =
URGENT Can someone answer these two questions within the next hour? Use Green’s Theorem to find...
URGENT Can someone answer these two questions within the next hour? Use Green’s Theorem to find the integral of the vector field F~ (x, y) = (5y + 4x)~i + (3y − 7x)~j counterclockwise around the ellipse x 2 9 + y 2 = 1. Hint: The area of the ellipse with equation x 2/ a 2 + y 2 /b 2 = 1 is πab. Use Stokes’ Theorem to compute Z C F~ · d~s where F~ (x, y,...
Use​ Green's Theorem to find the counterclockwise circulation and outward flux for the field F=(3x−y)i+(y−x)j and...
Use​ Green's Theorem to find the counterclockwise circulation and outward flux for the field F=(3x−y)i+(y−x)j and curve​ C: the square bounded by x=​0, x=4​,y=​0, y=4. find flux and circulation
Use Stokes' Theorem to evaluate    C F · dr where C is oriented counterclockwise as...
Use Stokes' Theorem to evaluate    C F · dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = yzi + 6xzj + exyk, C is the circle x2 + y2 = 9, z = 2.