Solve the Problem $y = \ln ( \csc x ) , \pi / 3 \leq x \leq \pi / 2$

question 172

Multiple Choice

Solve the problem.
-Find the length of the curve $y = \ln ( \csc x ) , \pi / 3 \leq x \leq \pi / 2$

• A) \(\ln ( \sqrt { 3 } )\)
• B) \(\ln ( \sqrt { 3 } + 1 )\)
• C) \(1 - \ln ( \sqrt { 3 } )\)
• D) \(\ln ( 2 \sqrt { 3 } )\)

---

Definitions:

Natural Rate

The level of economic activity, particularly unemployment or interest rates, that corresponds to the economy's long-term equilibrium without short-term cyclical fluctuations.

Potential Output

Potential output is the maximum amount of goods and services an economy can produce when it is most efficient and fully employed, without causing inflation.

Expansionary Gap

A situation where real GDP exceeds potential GDP, often leading to inflationary pressures due to high demand in an economy.

Equilibrium Output

The level of output where the quantity of goods and services produced equals the quantity of goods and services demanded.