Find All Points (If Any) of Horizontal and Vertical Tangency $x = 7 + 3 \cos \theta , y = - 3 + \sin \theta$

question 34

Multiple Choice

Find all points (if any) of horizontal and vertical tangency to the curve $x = 7 + 3 \cos \theta , y = - 3 + \sin \theta$

• A) horizontal tangents: \(( 7 , - 2 ) , ( 7 , - 4 )\), vertical tangents: \(( 10 , - 3 ) , ( 4 , - 3 )\)
• B) horizontal tangents: \(( 10 , - 3 ) , ( 4 , - 3 )\), vertical tangents: \(( 7 , - 2 ) , ( 7 , - 4 )\)
• C) horizontal tangent: \(( 7 , - 2 )\), vertical tangent: \(( 10 , - 3 )\)
• D) horizontal tangents: \(( 7 , - 4 ) , ( 7 , - 4 )\), vertical tangents: \(( 10 , - 3 ) , ( 4 , - 3 )\)
• E) horizontal tangent: \(( 10 , - 3 )\), vertical tangent: \(( 7 , - 2 )\)

---

Definitions:

Waste-Removal Firm

A company specializing in the collection and disposal of garbage and recyclables.

High Self-Esteem

The condition of holding oneself in high regard, reflecting a person’s overall subjective emotional evaluation of their own worth.

Core Self-Evaluations

A personality trait concept reflecting an individual’s subconscious, fundamental evaluations about themselves, their abilities and their control over their environment.

Increased Success

An improvement or growth in achieving goals, marked by measurable outcomes or achievements in personal or professional areas.