Question

Prove Gauss's Theorem for vector field F= xi +2j + z2k, in the region bounded by...

Prove Gauss's Theorem for vector field F= xi +2j + z2k, in the region bounded by planes z=0, z=4, x=0, y=0 and x2+y2=4 in the first octant

Homework Answers

Answer #1

sir if any mistake plz comment

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
Verify that the Divergence Theorem is true for the vector field F on the region E....
Verify that the Divergence Theorem is true for the vector field F on the region E. Give the flux. F(x, y, z) = 5xi + xyj + 4xzk, E is the cube bounded by the planes x = 0, x = 2, y = 0, y = 2, z = 0, and z = 2.
Verify the Divergence Theorem for the vector field F(x, y, z) = < y, x ,...
Verify the Divergence Theorem for the vector field F(x, y, z) = < y, x , z^2 > on the region E bounded by the planes y + z = 2, z = 0 and the cylinder x^2 + y^2 = 1. By Surface Integral: By Triple Integral:
B is the solid occupying the region of the space in the first octant and bounded...
B is the solid occupying the region of the space in the first octant and bounded by the paraboloid z = x2 + y2- 1 and the planes z = 0, z = 1, x = 0 and y = 0. The density of B is proportional to the distance at the plane of (x, y). Determine the coordinates of the mass centre of solid B.
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
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) = −xi − yj + z3k, S is the part of the cone z = x2 + y2 between the planes z = 1 and z = 2 with downward orientation
Use the divergence theorem to calculate the flux of the vector field F = (y +xz)...
Use the divergence theorem to calculate the flux of the vector field F = (y +xz) i+ (y + yz) j - (2x + z^2) k upward through the first octant part of the sphere x^2 + y^2 + z^2 = a^2.
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
Problem (10 marks) Verify the Divergence Theorem for the vector fifield F(x, y, z) = <y,...
Problem Verify the Divergence Theorem for the vector fifield F(x, y, z) = <y, x, z^2>on the region E bounded by the planes y + z = 2, z = 0 and the cylinder x^2 + y^2 = 1. 1.Surface Integral: 2.Triple Integral:
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.