(Steps Shown) Given that the region R consists of everything inside the ellipse ((x+3)/(7))^2+((y-1)/(2))^2=1 Go with f(x, y)=\mathrmx^2-3 \mathrmy^2 and calculate


Question: Given that the region \(R\) consists of everything inside the ellipse

\[\left(\frac{x+3}{7}\right)^{2}+\left(\frac{y-1}{2}\right)^{2}=1\]

Go with

\[\mathrm{f}(\mathrm{x}, \mathrm{y})=\mathrm{x}^{2}-3 \mathrm{y}^{2}\]

and calculate

\[\iint_{R} f(x, y) d x d y\]

by the method of least labor on your part.

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