Module 17 : Surfaces, Surface Area, Surface integrals, Divergence Theorem and applications
Lecture 50 : Application of surface integrals [Section 50.2]
 

Practice Exercises

(1)
Evaluate the surface integral
 

where is the surface given by

and

  Answer
   
(2)
Compute the flux of the vector field
 


across the surface that is the portion of the paraboloid



lying above the -plane, oriented by the upward unit normal.

  Answer
34