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Write inequalites to describe the region. The solid cylinder that lies on or below the z=8 and or above the disk in the xy-plane with center the origin and radius 2

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abdulbasitcheema

Answer:

x^2 + y^2 <= 4, 0 <= z <= 8

Step-by-step explanation:

  1. Region that lies on/below the plane means Z<=8
  2. Region that lies on/above the xy plane means Z>=0.

Combining 1 and 2, we get

0<=Z<=8

If we want disk  of radius 2 in x-y plane to be centered at origin the inequality becomes:

x^2 + y^2 <= 4

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