[See Solution] Find the area of the surface given by z = f(x, y) over the region R. f (x, y) = 10quad + 2 xquad - 3 y , , R = (x, y) : x^ 2quad + y^ 2quad


Question: Find the area of the surface given by z = f(x, y) over the region R.

\[\begin{aligned} & f\,\left( \,x,\,y\, \right)\quad =\quad 10\quad +\quad 2\,x\quad -\quad 3\,y \\ & \\ & R\quad =\quad \left\{ \,\left( \,x,\,y\, \right)\,:\quad {{x}^{\,2}}\quad +\quad {{y}^{\,2}}\quad \le \quad 9\, \right\} \\ \end{aligned}\]

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