Question

Use the Divergence Theorem to evaluate ∫ ∫ S F ⋅ d S where F=〈2x^3,2y^3,4z^3〉 and...

Use the Divergence Theorem to evaluate ∫ ∫ S F ⋅ d S where F=〈2x^3,2y^3,4z^3〉 and  S is the sphere x2+y2+z2=16 oriented by the outward normal.

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 Divergence Theorem to evaluate    S (11x + 2y + z2) dS where S...
Use the Divergence Theorem to evaluate    S (11x + 2y + z2) dS where S is the sphere x2 + y2 + z2 = 1.
Use the divergence theorem to find the outward flux ∫ ∫ S F · n dS  ...
Use the divergence theorem to find the outward flux ∫ ∫ S F · n dS   of the vector field F  =   cos(10y + 5z) i  +  9 ln(x2 + 10z) j  +  3z2 k,  where S is the surface of the region bounded within by the graphs of  z  =  √ 25 − x2 − y2  ,  x2 + y2  =  7,  and  z  =  0. Please explain steps. Thank you :)
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 the divergence theorem to find the outward flux (F · n) dS S of the...
Use the divergence theorem to find the outward flux (F · n) dS S of the given vector field F. F = y2i + xz3j + (z − 1)2k; D the region bounded by the cylinder x2 + y2 = 25 and the planes z = 1, z = 6
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
Evaluate the surface integral    S F · dS for the given vector field F and...
Evaluate the surface integral    S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. F(x, y, z) = x i − z j + y k S is the part of the sphere x2 + y2 + z2 = 4 in the first octant, with orientation toward the origin
Evaluate the surface integral S F · dS for the given vector field F and the...
Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. F(x, y, z) = x i − z j + y k S is the part of the sphere x2 + y2 + z2 = 25 in the first octant, with orientation toward the origin
Evaluate the surface integral ∫∫S F · dS for the given vector field F and the...
Evaluate the surface integral ∫∫S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. F(x, y, z) = x i - z j + y k S is the part of the sphere x2 + y2 + z2 = 81 in the first octant, with orientation toward the origin.
Use the Divergence Theorem to evaluate S F · N dS and find the outward flux...
Use the Divergence Theorem to evaluate S F · N dS and find the outward flux of F through the surface of the solid bounded by the graphs of the equations. F(x, y, z) = x2i + xyj + zk Q: solid region bounded by the coordinate planes and the plane 3x + 5y + 6z = 30
Use the Divergence Theorem to evaluate S F · N dS and find the outward flux...
Use the Divergence Theorem to evaluate S F · N dS and find the outward flux of F through the surface of the solid bounded by the graphs of the equations. F(x, y, z) = x2i + xyj + zk Q: solid region bounded by the coordinate planes and the plane 3x + 4y + 6z = 24
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT