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Activity 12.3.3 .
In this activity, we will be breaking the region
\(D\) from the previous example into parts which are horizontally or vertically simple.
(a)
In
Figure 12.3.15 , we have broken our region
\(D\) into two regions
\(V_1\) and
\(V_2\text{.}\) Give inequalities for each of
\(V_1\) and
\(V_2\) that shows that they are individually vertically simple.
Figure 12.3.15. The region \(D\) split into two regions, \(V_1\) and \(V_2\text{,}\) which are individually vertically simple
(b)
In
Figure 12.3.16 , we have broken our region
\(D\) into three regions
\(H_1\text{,}\) \(H_2\text{,}\) and
\(H_3\text{.}\) Give inequalities for each of
\(H_1\text{,}\) \(H_2\text{,}\) and
\(H_3\) that shows that they are individually horizontally simple.
Figure 12.3.16. The region \(D\) split into three regions, \(H_1\text{,}\) \(H_2\text{,}\) and \(H_3\text{,}\) which are individually horizontally simple