Find the surface area of that part of the plane 9 x 2 y z = 3 that lies inside the elliptic cylinder \frac{x^2}{81} \frac{y^2}{4} =1 surface area =

To find the surface area of the plane, we must find the partial derivative of . Then, we have





We can compute for the surface area of the elliptical cylinder,

, with



knowing that we're working on the plane's surface from the cylinder,





Thus, the area around the plane of f(x) is .

units²