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A beehive lies inside a chicken wire cage described by the equation x2 +y2 +z2 =...

A beehive lies inside a chicken wire cage described by the equation x2 +y2 +z2 = 1. The velocity of the emerging bees is given by the vector field F(x,y,z) = (x)i+(y)j+(z)k. The flux of F over the chicken wire surface measures how many bees are flying across the chicken wire, out of the cage.

A) Calculate this flux using a surface integral

B) Calculate this flux using the divergence theorem

Math   Calculus   
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