$\text { Use Simpson's Rule with } n = 14 \text { to approximate } \pi \text { using the equation }$

question 28

Multiple Choice

$\text { Use Simpson's Rule with } n = 14 \text { to approximate } \pi \text { using the equation }$ $\pi = \int _ { 0 } ^ { 1 } \frac { 4 } { 1 + x ^ { 2 } } d x$ .
Round your answer to five decimal places.

• A) \(3.14159\)
• B) \(3.13595\)
• C) \(3.14723\)
• D) \(3.14381\)
• E) \(3.13937\)

---

Definitions:

Long-Run Aggregate-Supply

The total output of an economy when all resources are fully employed, with prices of inputs and outputs able to adjust to any changes.

Real GDP

The inflation-adjusted value of all goods and services produced within a country's borders in a year, reflecting the actual productivity of an economy.

Price Level

An index reflecting the overall current prices for a wide range of goods and services within the economy, averaged out.

Exchange-Rate Effect

Refers to the impact of changes in the exchange rate on a country's export and import prices, and subsequently on its trade balance.