Find the Area Enclosed by the Given Curves $y$ -Axis, Below by the Line

question 229

Multiple Choice

Find the area enclosed by the given curves.
-Find the area of the region in the first quadrant bounded on the left by the $y$ -axis, below by the line $y = \frac { 1 } { 3 } x$ , above left by $y = x + 4$ , and above right by $y = - x ^ { 2 } + 10$ .

• A) \(\frac { 39 } { 2 }\)
• B) \(\frac { 39 } { 4 }\)
• C) 15
• D) \(\frac { 73 } { 6 }\)

---

Definitions:

Microeconomics

The branch of economics that studies the behavior of individuals and firms in making decisions regarding the allocation of scarce resources and the interactions among these individuals and firms.

Economic Behavior

The actions and decisions made by individuals, households, and firms regarding the production, distribution, and consumption of goods and services.

Natural Resources

Substances and resources like minerals, forests, water, and arable land that are found in nature and can be exploited for financial benefit.

Economic Model

A simplified representation, often mathematical, of economic processes, relationships, or phenomena, to predict and explain economic behavior.