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) = 3xy2 i + xez j + z3 k
S is the surface of the solid bounded by the cylinder y2 + z2 = 9 and the planes x = -1 and x = 3.

Expert Answer

1 Rating

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

Applications of Integration