Concept:
The equation
Given:
3) Calculation:
The given equation is
The equation
represents the set of all points in
That is,
Here is no restriction on z-coordinate, so a point in the region must lie on a circle with radius 2 and centre on z-axis but it could be any horizontal plane
Therefore, the region consists of all points on the circle
That is, a circular cylinder with radius 2 whose axis is the z - axis
Therefore, the given equations represents the region in
Conclusion:
The given equations represents the region in
Systems of Inequalities Graph the solution set of the system if inequalities. Find the coordinates of all vertices, and determine whether the solution set is bounded.