Match each function with its contour plot. f(x, y) = 2x² + 2y? | f(x, y) = x² + 0.25y? | f(x, y) = x² + y? ] f(x, y) = 0.25x² + y? ] f(x, y) = x² – y² f(x, y) = y² – x² %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question 4
>
Match each function with its contour plot.
24
2a? + 2y?
] f(x, y)
] f(x, y)
] f(x, y)
a? + 0.25y?
b.
x2 + y?
| f(x, y) = 0.25x² + y?
f(æ, y)
x? – y?
-- f(x, y) = y? – a?
164
y
>40
of
16
25
2
1,0
1
2
а.
15
1
3
12
1
10
-1
С.
10
-1
1
-2
-1
-3
16
y
14 10
8
12
3)
2.
Transcribed Image Text:Question 4 > Match each function with its contour plot. 24 2a? + 2y? ] f(x, y) ] f(x, y) ] f(x, y) a? + 0.25y? b. x2 + y? | f(x, y) = 0.25x² + y? f(æ, y) x? – y? -- f(x, y) = y? – a? 164 y >40 of 16 25 2 1,0 1 2 а. 15 1 3 12 1 10 -1 С. 10 -1 1 -2 -1 -3 16 y 14 10 8 12 3) 2.
y
41
16
16
40
44
12
1
d.
-2 -1
13
-1
24
10
-3
14
12
41
446
10
of
32
50
18
5 x
е.
-2
-1
1
3
-1
10
- 10
-3
10
50
of
2.
2.
of
Transcribed Image Text:y 41 16 16 40 44 12 1 d. -2 -1 13 -1 24 10 -3 14 12 41 446 10 of 32 50 18 5 x е. -2 -1 1 3 -1 10 - 10 -3 10 50 of 2. 2. of
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