Find the Smallest N Such That the Error Estimate in the Approximation

question 164

Multiple Choice

Find the smallest n such that the error estimate in the approximation of the definite integral $\int _ { 0 } ^ { 1 } 2 \cos ( \pi x ) d x$ is less than $0.00001$ using Simpson's Rule.

• A) 48
• B) 8
• C) 11
• D) 14
• E) 19

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Definitions:

Price Floors

Minimum legally established prices below which a good or service cannot be sold, typically set by government to protect producers.

Ceiling Prices

are maximum legal prices set by authorities for particular goods or services to prevent them from becoming too expensive during shortages or high demand periods.

Rationing Function

The process by which scarce goods and services are distributed among competing users.

Price Ceiling

A legally established maximum price for a good, or service. Normally set at a price below the equilibrium price.