25. f(x, y) = 10 - 4x - 5y
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
25
Transcribed Image Text:12. Let g(x, y, z)= x³y²z√10-x-y-z.
(a) Evaluate g(1, 2, 3).
(b) Find and describe the domain of g.
13-22 Find and sketch the domain of the function.
13. f(x, y) = √√x - 2 + √y-1=0
14. f(x, y) = √√x - 3y
15. f(x, y) = ln(9-x² - 9y²) 16. f(x, y) = √√x² + y² - 4
In(2-x)
-
18. g(x, y) = 1 − x² − y²
x-y
x + y
√y=x²
1-x²
20. f(x, y) = sin¯¹'(x + y)
21. f(x, y, z)=√√4 = x² + √√9 - y² + √1 − z ²
-
22. f(x, y, z) = ln(16- 4x² - 4y² - z²)
17. g(x, y)
=
19. f(x, y) =
=
23-31 Sketch the graph of the function.
23. f(x, y) = y
25. f(x, y) = 10 - 4x - 5y
27. f(x, y) = sin x
29. f(x, y) = x² + 4y² + 1
31. f(x, y) = √√√4 - 4x² - y²
24.
f(x, y) = x²
26. f(x, y) = cos y
28. f(x, y) = 2 - x² - y²
30. f(x, y) = √4x² + y²
32. Match the function with its graph (labeled I-VI). Give reasons
for your choices.
1
(a) f(x, y) = ₁ + x² + y²
(c) f(x, y) = ln(x² + y²)
(e) f(x, y) = |xy|
-1
(b) f(x, y) =
1 + x²y²
(d) f(x, y) = cos √√x² + y²
(f) f(x, y) = cos(xy)
33. A conto
values
shape c
34. Show
Ame
isoba
(a) I
(b)
Transcribed Image Text:12. Let g(x, y, z)= x³y²z√10-x-y-z.
(a) Evaluate g(1, 2, 3).
(b) Find and describe the domain of g.
13-22 Find and sketch the domain of the function.
13. f(x, y) = √√x - 2 + √y-1=0
14. f(x, y) = √√x - 3y
15. f(x, y) = ln(9-x² - 9y²) 16. f(x, y) = √√x² + y² - 4
In(2-x)
-
18. g(x, y) = 1 − x² − y²
x-y
x + y
√y=x²
1-x²
20. f(x, y) = sin¯¹'(x + y)
21. f(x, y, z)=√√4 = x² + √√9 - y² + √1 − z ²
-
22. f(x, y, z) = ln(16- 4x² - 4y² - z²)
17. g(x, y)
=
19. f(x, y) =
=
23-31 Sketch the graph of the function.
23. f(x, y) = y
25. f(x, y) = 10 - 4x - 5y
27. f(x, y) = sin x
29. f(x, y) = x² + 4y² + 1
31. f(x, y) = √√√4 - 4x² - y²
24.
f(x, y) = x²
26. f(x, y) = cos y
28. f(x, y) = 2 - x² - y²
30. f(x, y) = √4x² + y²
32. Match the function with its graph (labeled I-VI). Give reasons
for your choices.
1
(a) f(x, y) = ₁ + x² + y²
(c) f(x, y) = ln(x² + y²)
(e) f(x, y) = |xy|
-1
(b) f(x, y) =
1 + x²y²
(d) f(x, y) = cos √√x² + y²
(f) f(x, y) = cos(xy)
33. A conto
values
shape c
34. Show
Ame
isoba
(a) I
(b)
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