Nannie Mack
2020-12-29
tafzijdeq
Skilled2020-12-30Added 92 answers
Concept:
The equation represents a circle with its center on the z-axis.
Given:
3) Calculation:
The given equation is
The equation
is a set of all the 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 (parallel to xy - 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 consisting of all possible citcles of radius 2 and centre on z -axis that 1s a circular cylinder with radius 2 whose axis is the z - axis.
Conclusion:
The given equations represents the region in consisting of all possible circles of radius 2 and centre on z - axis that is a circular cylinder with radius 2 whose axis is the z - axis.
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