The formula for local midpoint rule in the interval $[-\frac{h}{2},\text{}\frac{h}{2}]$

Elle Weber
2022-04-07
Answered

The formula for local midpoint rule in the interval $[-\frac{h}{2},\text{}\frac{h}{2}]$

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$\begin{array}{|cccccccccc|}\hline {\textstyle \text{Time}}& {\textstyle \text{9am}}& {\textstyle \text{10:30 am}}& {\textstyle \text{Noon}}& {\textstyle \text{1:30 pm}}& {\textstyle \text{3 pm}}& {\textstyle \text{4:30 pm}}& {\textstyle \text{6 pm}}& {\textstyle \text{7:30 pm}}& {\textstyle \text{9 pm}}\\ t& 0& 1.5& 3& 4.5& 6& 7.5& 9& 10.5& 12\\ P\left(t\right)& 200& 728& 1193& 1329& 1583& 1291& 804& 256& 0\\ \hline\end{array}$

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