In Exercises 11-18: (a) Find the domain D of the given function. (b) State whether D is an open or closed set. (c) State whether D is bounded or unbounded. 11. f(x, y) = V9- x2- y2 12. f(x, y) = Vy – x?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
Please solve number 12 for me
(c) State whether S is bounded or unbounded.
1)?
(y - 3)?
< 1
6.
(x -
7. S=
{(x, v) |y + x}
{(x,y) |x +v 1}
10. S = {(x, y)ly> sin x}
8. S =
9. S=
In Exercises 11-18:
(a) Find the domain D of the given function.
(b) State whether D is an open or closed set.
(c) State whether D is bounded or unbounded.
11. f(x, y) = V9- x2 - y2
12. f(x, y) = vy-
Vy- x?
1
13. f(x, у) :
%3D
Vy - x2
x² - y?
14. f(x, y) =
%3D
x2 + y?
15. f(x, y) = x + 3xy + y
x' +y+1
16. f(x, y)
X- 2y + 3
17. f(x, y) =
V1- x-
18. f(x, y) = In(xy)
- v2
88
Transcribed Image Text:(c) State whether S is bounded or unbounded. 1)? (y - 3)? < 1 6. (x - 7. S= {(x, v) |y + x} {(x,y) |x +v 1} 10. S = {(x, y)ly> sin x} 8. S = 9. S= In Exercises 11-18: (a) Find the domain D of the given function. (b) State whether D is an open or closed set. (c) State whether D is bounded or unbounded. 11. f(x, y) = V9- x2 - y2 12. f(x, y) = vy- Vy- x? 1 13. f(x, у) : %3D Vy - x2 x² - y? 14. f(x, y) = %3D x2 + y? 15. f(x, y) = x + 3xy + y x' +y+1 16. f(x, y) X- 2y + 3 17. f(x, y) = V1- x- 18. f(x, y) = In(xy) - v2 88
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