(See Steps) Consider the region R plotted in the xy plane x(t)= cos t(1- cos t) , y(t)= sin t(1- cos t) , In polar coordinates, this corresponds to r=1-
Question: Consider the region R plotted in the xy plane
\(\begin{aligned} & x\left( t \right)=\cos t\left( 1-\cos t \right) \\ & y\left( t \right)=\sin t\left( 1-\cos t \right) \\ \end{aligned}\)
In polar coordinates, this corresponds to \(r=1-\cos \theta \) .
Go with
\[f(x, y)=3+y-x\]and calculate
\[\iint_{R} f(x, y) d x d y\]by the method of least labor on your part.
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