TRANSCRIBE THE FOLLOWING TEXT IN DIGITAL FORMAT
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
TRANSCRIBE THE FOLLOWING TEXT IN DIGITAL FORMAT
Transcribed Image Text:computing the
|H| =
=
x
-
-
it
-16 (²²4)
49 (x²y³²4 + y)²
256
2401
4 (1+2+3)
7 (x + x²³y²4) ²
16x (1+2 2 ² y ³) ( 1+ 22554)
49
784 (1+
|H|>0
obseme that
determinant of H.
X-
in the
conver
Therefore,
2401 (x²²y³²+ y)²(x +äkyätze
+x+y
- 16 (2²³²4 y ²)
47 (x+²³7y²7) ²
4 (2245)
(x²y³²7 + y)² (x + x^²+y^4) ²
9²2) ( 1+ 2/2 u²+ y^²^2) – 2²
-256
so
н жу
2
in the
of LOS THI>O for all
2x²
interior of ist quadrant of QR²
means that the function f(x,y)
is
in aqualities
are strict,
and
f(x,y)
strictly
conver.
2
first quadrant of R
Transcribed Image Text:The function
of
Differentiate the function f(x,y) enth
and
and yo
respect to
20
oy?
5/6
оу
=
11
Also,
of
оиду
of
буде
Now, The
H =
=
W
f(x,y) = in (x ² = + y^² =)
=
=-(-
=
16
49
7 y
16
has been defined by
– (14
49
1
of
1/2+y
4(1+² ¹²$)
2
7 (x + x²³ y ²5 ₁²
84²
o²f
X
2
4
3/2
буд
02/4x
4
47
7 (x²²7 +y ²³7)
4 (2₂²³5/4+1)
7 (x²" y " + + y)²
(*+ 27y²4) x (1
7x²³² (x² 4 + y^²4)
3/x
x
y
7 (x + x² + y²4) ²
27
re
m/x
~/x
4
-3/7 x 2²/1/2)
ау
y
Hessian matri
mix
"/xxy
X
<o
Mlx
- 3/4
12
of
+y^² =)
(x + x²44) ²
is
mixy
2
(x + ²y ² ) ²
оход
off
in the domain.
дуг
<o
J
7 (x+2²=y³s)
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