Question

Let F ( x , y , z ) =< e^z sin( y ) + 3x...

Let F ( x , y , z ) =< e^z sin( y ) + 3x , e^x cos( z ) + 4y , cos( x y ) + 5z >, and let S1 be the sphere x^2 + y^2 + z^2 = 4 oriented outwards Find the flux integral ∬ S1 (F) * dS. You may with to use the Divergence Theorem.

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Problem 10. Let F = <y, z − x, 0> and let S be the surface...
Problem 10. Let F = <y, z − x, 0> and let S be the surface z = 4 − x^2 − y^2 for z ≥ 0, oriented by outward-pointing normal vectors. a. Calculate curl(F). b. Calculate Z Z S curl(F) · dS directly, i.e., evaluate it as a surface integral. c. Calculate Z Z S curl(F) · dS using Stokes’ Theorem, i.e., evaluate instead the line integral I ∂S F · ds.
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
1.) Let f ( x , y , z ) = x ^3 + y +...
1.) Let f ( x , y , z ) = x ^3 + y + z + sin ⁡ ( x + z ) + e^( x − y). Determine the line integral of f ( x , y , z ) with respect to arc length over the line segment from (1, 0, 1) to (2, -1, 0) 2.) Letf ( x , y , z ) = x ^3 * y ^2 + y ^3 * z^...
Use the Divergence Theorem to evaluate F.N dS and find the outward flux of F through...
Use the Divergence Theorem to evaluate 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) = xi + xyj + zk Q: solid region bounded by the coordinate planes and the plane 3x + 4y + z = 24
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
Let S be the portion of the surface z=cos(y) with 0≤x≤4 and -π≤y≤π. Find the flux...
Let S be the portion of the surface z=cos(y) with 0≤x≤4 and -π≤y≤π. Find the flux of F=<e^-y,2z,xy> through S: ∫∫F*n dS
(a) Is the vector field F = <e^(−x) cos y, e^(−x) sin y> conservative? (b) If...
(a) Is the vector field F = <e^(−x) cos y, e^(−x) sin y> conservative? (b) If so, find the associated potential function φ. (c) Evaluate Integral C F*dr, where C is the straight line path from (0, 0) to (2π, 2π). (d) Write the expression for the line integral as a single integral without using the fundamental theorem of calculus.
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.
Let Q be the region bounded by the sphere x ^ 2 + y ^ 2...
Let Q be the region bounded by the sphere x ^ 2 + y ^ 2 + z ^ 2 = 25. Calculate the flow of the vector field F (x, y, z) = 2x ^ 2 i + 2y ^ 2 j + 2z ^ 2 k coming out of the sphere. (Use the Divergence or Gauss theorem). Evaluate the appropriate integral
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:
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT