In Calculus You Will See the Symbol Y $$- 5 ( x + y ) ^ { 2 } - 5 ( x + y ) ^ { 2 } y ^ { \prime } + 5 y ^ { 2 } y ^ { \prime } = - 5 x ^ { 2 }$$

question 9

Multiple Choice

In Calculus you will see the symbol y'. Treat y' as a variable and solve the equation for y'.
- $$- 5 ( x + y ) ^ { 2 } - 5 ( x + y ) ^ { 2 } y ^ { \prime } + 5 y ^ { 2 } y ^ { \prime } = - 5 x ^ { 2 }$$

• A) \(- \frac { y ( 2 x + y ) } { x ( 2 y + x ) }\)
• B) \(\frac { x ^ { 2 } + y ^ { 2 } } { ( x + y ) ^ { 2 } }\)
• C) \(\frac { x ( 2 x + y ) } { y ( 2 y + x ) }\)
• D) \(\frac { x ^ { 2 } - y ^ { 2 } } { ( x + y ) ^ { 2 } }\)

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Definitions:

Specialization of Labor

The division of labor into distinct tasks, where individuals specialize in specific tasks, improving efficiency and productivity.

Adam Smith

An 18th-century economist known for his writings on classical economics, including the concept of the division of labor and the benefits of free markets.

Absolute Advantage

The ability of a country, individual, company, or region to produce a good or service at a lower cost per unit than competitors using the same amount of resources.

Comparative Advantage

An economic theory that suggests a country should produce and export goods in which it has a lower opportunity cost than other countries.