Parameterize the surface using the notion of cylindrical coordinates to ( a ) First find the surface area of the part of the surface z 2 4 x 2 4 y 2 lying between z 0 and z 2 ( b ) Then find the mass of this surface assuming it has a variable density of ( x , y , z ) 4 z 2 Assume the units of mass are grams, and the units of distance are meters

Question

Parameterize the surface using the notion of cylindrical coordinates to  ( a ) First find the surface area of the part of the surface z 2   4 x 2   4 y 2 lying between z   0 and z   2   ( b ) Then find the mass of this surface assuming it has a variable density of ( x , y , z )   4 z 2   Assume the units of mass are grams, and the units of distance are meters

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Parameterize the surface using the notion of cylindrical coordinates to: ( a ) First find the surface area of the part of the surface z

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