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A bee cage is bounded by the surfaces: z = 0 on bottom, x = 0 on back, x = 1 - y? on

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A bee cage is bounded by the surfaces: z = 0 on bottom, x = 0 on back, x = 1 - y? on the front and sides, and z = x2 + y on top. Where x, y, and z are all measured in meters. To be as humane as possible to the bees there should be no more than 42 bees per m. How many bees does the cage hold?

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