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\large\bf Project Based Math 112, Fall 2001\\
Using Error Bounds\\
\S 5.9 Activity 2\\[.5in]
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{\bf Part A\\}
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Consider the integral $\int_0^\pi \sin(x) dx$. Sketch the corresponding area.
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Bound the error when approximating the area using the given rule and
$n=100$.

\begin{enumerate}

\item The Midpoint Rule

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\item The Trapezoid Rule

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\item Simpson's Rule

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(OVER)
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{\bf Part B\\} 
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\item Is the approximation in A1 an overestimate or an underestimate?

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\item Is the approximation in A2 an overestimate or an underestimate?

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\item What condition on a function guarantees that the Midpoint Rule
gives an overestimate?

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\item What condition on a function guarantees that the Trapezoid Rule
gives an overestimate?

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