Question

\begin{tabular}{|c|c|c|c|c|c|c|c|} \hline \begin{tabular}{c} Time, \( \boldsymbol{t} \) \\ (minutes) \end{tabular} & 0 & 2 & 4 & 5 & 6 & 9 & 12 \\ \hline \begin{tabular}{c} Velocity, \( \boldsymbol{V} \) \\ (miles/minute) \end{tabular} & 0.8 & 0.833 & 0.866 & 0.9167 & 0.967 & 1 & 1.083 \\ \hline \end{tabular} g) Approximate the distance they traveled using a midpoint sum with 3 subintervals. All formulas and calculations must be shown.

          \begin{tabular}{|c|c|c|c|c|c|c|c|}
\hline \begin{tabular}{c} 
Time, \( \boldsymbol{t} \) \\
(minutes)
\end{tabular} & 0 & 2 & 4 & 5 & 6 & 9 & 12 \\
\hline \begin{tabular}{c} 
Velocity, \( \boldsymbol{V} \) \\
(miles/minute)
\end{tabular} & 0.8 & 0.833 & 0.866 & 0.9167 & 0.967 & 1 & 1.083 \\
\hline
\end{tabular}
g) Approximate the distance they traveled using a midpoint sum with 3 subintervals. All formulas and calculations must be shown.

Time, t

(minutes)
0 2 4 5 6 9 12

Velocity, V

(miles/minute)
0.8 0.833 0.866 0.9167 0.967 1 1.083

g) Approximate the distance they traveled using a midpoint sum with 3 subintervals. All formulas and calculations must be shown.

Added by David C.

Calculus for AP

Jon Rogawski & Ray Cannon 2nd Edition

Chapter 5

Instant Answer

Solved by Expert Vishal Parmar

Step 1

A midpoint sum is a method used in numerical integration to approximate the area under a curve. It involves dividing the interval of integration into smaller subintervals, finding the midpoint of each subinterval, and then calculating the value of the function at Show more…

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\begin{tabular}{|c|c|c|c|c|c|c|c|} \hline \begin{tabular}{c} Time, \( \boldsymbol{t} \) \\ (minutes) \end{tabular} & 0 & 2 & 4 & 5 & 6 & 9 & 12 \\ \hline \begin{tabular}{c} Velocity, \( \boldsymbol{V} \) \\ (miles/minute) \end{tabular} & 0.8 & 0.833 & 0.866 & 0.9167 & 0.967 & 1 & 1.083 \\ \hline \end{tabular} g) Approximate the distance they traveled using a midpoint sum with 3 subintervals. All formulas and calculations must be shown.