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6. [5 points] A beehive lies inside a chicken wire cage described the equation x' + y' +z' =1. The beehive is disturbed as we

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6. [5 points] A beehive lies inside a chicken wire cage described the equation x' + y' +z' =1. The beehive is disturbed as we hike by, and the velocity of the emerging bees is given by the vector field F(x, y,z)= xi + +zk . The chicken wire holes are too big to keep the bees in, and the flux of F over the chicken wire surface measures how many bees are flying across the chicken wire, out of the cage. Calculate this flux using a surface integral.7. [5 points] Rework last problem (bee hives through the chicken wire), using the divergence theorem

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