Find Two Functions Defined Implicitly by the Given Relation $$x + y ^ { 2 } = 64$$

question 46

Multiple Choice

Find two functions defined implicitly by the given relation.
- $$x + y ^ { 2 } = 64$$

• A) \(y = \sqrt { 64 - x }\) or \(y = \sqrt { 64 + x }\)
• B) \(y = \sqrt { 64 - x }\) or \(y = - \sqrt { 64 - x }\)
• C) \(y = 64 - x\) or \(y = 64 + x\)
• D) \(y = 64 - x\) or \(y = - 64 + x\)

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Definitions:

TR

A common abbreviation for Total Revenue, the total income generated from sales of goods or services.

TC

Typically stands for Total Cost, which in economics is the sum of all costs incurred in the production of goods or services.

Economic Profit

The difference between total revenue and total costs, including both explicit and implicit costs, representing the surplus generated beyond the firm’s opportunity costs.

ATC

Average Total Cost; it's the total cost per unit of output, calculated by dividing the total cost by the quantity of output produced.