Question

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) = yi − xj + 2zk, S is the hemisphere 

x2 + y2 + z2 = 4,  z ≥ 0, oriented downward

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Advanced Math

Evaluation Of Integral

Integral Calculus

Other

Related Advanced Math Q&A

Find answers to questions asked by students like you.