Give a Geometric Description of the Set of Points Whose $$x ^ { 2 } + y ^ { 2 } \leq 1 , z = 7$$

question 78

Multiple Choice

Give a geometric description of the set of points whose coordinates satisfy the given conditions.
- $$x ^ { 2 } + y ^ { 2 } \leq 1 , z = 7$$

• A) All points within the parabola \(x ^ { 2 } + y ^ { 2 } = 1\) in the plane \(z = 7\)
• B) All points on the cylinder with radius 1 along the \(z\)-axis
• C) All points on or outside of the circle \(x ^ { 2 } + y ^ { 2 } = 1\) and in the plane \(z = 7\)
• D) All points on or within the circle \(x ^ { 2 } + y ^ { 2 } = 1\) and in the plane \(z = 7\)

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Definitions:

Hedonic

Pertaining to pleasure or the pursuit of pleasure, often used in psychology to describe behaviors driven by the desire for immediate gratification.

CAPS Model

Stands for Cognitive-Affective Personality System, a psychological model emphasizing the interaction of cognitive and emotional processes in shaping personality.

Nomothetic Goals

Pertains to objectives that seek general laws and principles about behaviors or phenomena, aiming for universal insights.

Idiographic Goals

Goals that are unique to an individual's own interests, values, and aspirations.