Surface Area In Exercises 4346, find the area of the surfacegiven by over the region R

Chapter 14, Problem 44

(choose chapter or problem)

Surface Area  In Exercises 43-46, find the area of the surface given by z = f(x, y) over the region R.

\(f(x,\ y)=16-x-y^2\)

\(R=\{(x,\ y):\ 0\ \leq\ x\ \leq\ 2,\ 0\ \leq\ y\ \leq\ x\}\)

Use a computer algebra system to evaluate the integral.

Text Transcription:

f(x, y)=16-x-y^2

R={(x, y): 0 leq x leq 2, 0 leq y leq x}