[See Solution] Explain the statement: If for a given function f(x, y) and a given region R in the xy -plane, it turns out that ∫_R f(x, y) d x d y<0
Question: Explain the statement:
If for a given function \(\mathrm{f}(\mathrm{x}, \mathrm{y})\) and a given region \(\mathrm{R}\) in the \(\mathrm{xy}\) -plane, it turns out that
\[\iint_{R} f(x, y) d x d y<0\]then you are guaranteed that there are some points \((x, y)\) in \(R\)
\[\text { with } \mathrm{f}(\mathrm{x}, \mathrm{y})<0\]
Deliverable: Word Document 
![[All Steps] The region R is plotted](/images/solutions/MC-solution-library-37615.jpg "[All Steps] The region R is plotted in the xy-plane y(y-6)+1,")
[All Steps] The region R is plotted in the xy-plane y(y-6)+1,
![[See Steps] Consider the region R plotted](/images/solutions/MC-solution-library-37616.jpg "[See Steps] Consider the region R plotted in the xy plane x(t)=")
[See Steps] Consider the region R plotted in the xy plane x(t)=
(Solution Library) Consider the region R plotted in the xy plane Where
![[Steps Shown] Here is another region R](/images/solutions/MC-solution-library-37618.jpg "[Steps Shown] Here is another region R plotted in the x y -plane 3")
[Steps Shown] Here is another region R plotted in the x y -plane 3
(See Solution) Given that the region R consists of everything inside
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