In Exercises 41 44, find the area of the surface given by

Chapter 14, Problem 41

(choose chapter or problem)

In Exercises 41 - 44, find the area of the surface given by z = f(x, y) over the region R. (Hint: Some of the integrals are simpler in polar coordinates.)

\(f(x, y)=25-x^{2}-y^{2}\)

\(R=\left\{(x, y): x^{2}+y^{2} \leq 25\right\}\)

Text Transcription:

f(x, y) = 25 - x^2 - y^2

R = {(x, y): x^2 + y^2 leq 25}