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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