A storage bin is to be constructed in the shape of the solid bounded above by the surface z 20 x 2 y 2 below by the xy plane, and on the sides by the plane y 0 and the parabolic cylinder y 4 x 2 , where x, y, and z are in meters Find the volume of the bin ...

Solving 4x0 yields x 2 and x 2 So 2 V 1 1x 20x ...

A storage bin is to be constructed in the shape of the solid bounded above by the

Question:

A storage bin is to be constructed in the shape of the solid bounded above by the surface z = 20 − x² − y²below by the xy plane, and on the sides by the plane y = 0 and the parabolic cylinder y = 4 − x², where x, y, and z are in meters. Find the volume of the bin.

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