Find Two Functions Defined Implicitly by the Given Relation $$x ^ { 2 } + y ^ { 2 } = 81$$

question 47

Multiple Choice

Find two functions defined implicitly by the given relation.
- $$x ^ { 2 } + y ^ { 2 } = 81$$

• A) \(y = \sqrt { 81 } + x\) or \(y = \sqrt { 81 } - x\)
• B) \(y = \sqrt { 81 - x ^ { 2 } }\) or \(y = \sqrt { 81 + x ^ { 2 } }\)
• C) \(y = \sqrt { 81 } + x\) or \(y = - \sqrt { 81 } - x\)
• D) \(y = \sqrt { 81 - x ^ { 2 } }\) or \(y = - \sqrt { 81 - x ^ { 2 } }\)

---

Definitions:

Salt Solution

A homogeneous mixture of salt dissolved in water, often used in various scientific experiments and medical treatments.

Preservative

A substance used to preserve food, wood, or other materials against decay or deterioration.

Functional Résumé

A type of résumé format that focuses on highlighting skills and experiences over job history.

Academic Experience

Refers to the educational background, achievements, and activities that one has been a part of during their time in academic institutions.