Trapezoidal Rule
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i) Given \(f(x)=\sqrt{4-x^2}\) complete this table of values, correct to 3 decimal places.
\begin{array}{|c|c|c|c|c|c|}
\hline x & 0 & 0.5 & 1 & 1.5 & 2 \\
\hline f(x) & & & & & \\
\hline
\end{array}
ii) Use the Trapezoidal rule, with four sub-intervals, to estimate the value of \(\displaystyle \int_0^2 \sqrt{4-x^2} \,d x\).
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