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

question 151

Multiple Choice

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.
Select the correct answer.

• A) \(4 ^ { 1 / 2 }\)
• B) \(\frac { 1 } { 3 }\)
• C) \(\frac { 2 } { 3 }\)
• D) \(4 ^ { 2 / 3 }\)
• E) \(4 ^ { 1 / 3 }\)

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Definitions:

Fixed Rate

A constant interest rate applied to a loan or mortgage that remains unchanged throughout the term, offering predictability in payments.

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An interest rate that fluctuates over time with market conditions, often applied to loans and credit.