Module 17 : Surfaces, Surface Area, Surface integrals, Divergence Theorem and applications
Lecture 50 : Application of surface integrals [Section 50.2]
(3)

Show that the flux of the universe square vector field

 

across the sphere R

towards the outward unit normal is given by

   
(4)
 Find the coordinates of the center of mass of the surface out from the cylinder
  by the planes and
  Answer
 


(5)
 Let be a vector field such that for all on the unit sphere
 

Show that

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