Easy -1.2 This is a straightforward recall question requiring only identification of arcs crossing a given cut and addition of their capacities. It's a 1-mark question testing basic definition knowledge with no problem-solving or algorithmic application required, making it easier than average even for Further Maths.
1 The network represents a system of pipes.
The number on each arc represents the upper capacity for each pipe in \(\mathrm { cm } ^ { 3 } \mathrm {~s} ^ { - 1 }\)
\includegraphics[max width=\textwidth, alt={}, center]{dcf97b92-d067-41d4-89a6-ea5bab9ea4ff-03_691_1067_721_482}
The value of the cut \(\{ S , A , B \} \{ C , D , E , T \}\) is \(V \mathrm {~cm} ^ { 3 } \mathrm {~s} ^ { - 1 }\)
Find \(V\).
Circle your answer. [0pt]
[1 mark]
25303137
1 The network represents a system of pipes.\\
The number on each arc represents the upper capacity for each pipe in $\mathrm { cm } ^ { 3 } \mathrm {~s} ^ { - 1 }$\\
\includegraphics[max width=\textwidth, alt={}, center]{dcf97b92-d067-41d4-89a6-ea5bab9ea4ff-03_691_1067_721_482}
The value of the cut $\{ S , A , B \} \{ C , D , E , T \}$ is $V \mathrm {~cm} ^ { 3 } \mathrm {~s} ^ { - 1 }$\\
Find $V$.
Circle your answer.\\[0pt]
[1 mark]\\
25303137
\hfill \mbox{\textit{AQA Further AS Paper 2 Discrete 2019 Q1 [1]}}