Use the Divergence Theorem to calculate the outward flux of Fr|r| where r = (x, y,...

 

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Use the Divergence Theorem to calculate the outward flux of Fr|r| where r = (x, y, z) across S: the hemisphere z=16-x2 y2 and the disk x + y2 < 16 in the xy-plane. x2 32 Z2 Flux of F across S = where x = x2 = Flux of F across S = y MM dz dy dx y = Z = 32= Z = Use the Divergence Theorem to calculate the outward flux of Fr|r| where r = (x, y, z) across S: the hemisphere z=16-x2 y2 and the disk x + y2 < 16 in the xy-plane. x2 32 Z2 Flux of F across S = where x = x2 = Flux of F across S = y MM dz dy dx y = Z = 32= Z =