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

question 38

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: \(( 7 , - 2 )\)

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Definitions:

Conciliation/Mediation

A process where a neutral third party assists disputing parties to reach a mutual agreement and resolve their conflict outside of court.

Third Party

An individual or entity that is not directly involved in a transaction or agreement but may be affected by it or have an interest in its outcome.

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An agreement reached between parties in a dispute, often involving payment or other terms, to resolve the dispute without further litigation.

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Acting with honesty and integrity.