Find the Number $b$ Such That the Line $y = b$ Divides the Region Bounded by the Curves

question 74

Short Answer

Find the number $b$ such that the line $y = b$ divides the region bounded by the curves $y = x ^ { 2 }$ and $y = 4$ into two regions with equal area.

---

Definitions:

Limited Partners

Individuals in a partnership who invest money but are not involved in day-to-day management, and whose liability is limited to the amount of their investment.

General Partnership

A business structure where two or more individuals agree to share in all assets, profits, and financial and legal liabilities of a venture.

Participating Investors

Individuals or entities that engage in funding ventures with the expectation of earning a return on their investment.

Liability

The state of being responsible for something, especially by law.