Finding Surface Area In Exercises 1–14, find the area of the surface given by /(z=f(x, y)\) over the region (Hint: Some of the integrals are simpler in polar coordinates.)

\(f(x, y)=9-x^{2}/) R: square with vertices (0, 0), (2, 0), (0, 2), (2, 2)

Text Transcription:

z=f(x, y)

f(x, y)=9-x^2

Step 1 of 5) Component Form A quantity such as force, displacement, or velocity is called a vector and is represented by a directed line segment (Figure 11.7).