ВУЗ:
Составители:
Рубрика:
-30-
Окончание
12.15
862
22
xyyxxy
z −−= ,
1
43
,0,0 =+==
yx
yx ,
12.16
(
)
()
3/2
2
1−−= xyxz ,
2
,2 yxx ==
,
12.17
xyyxz 6
33
−+= ,
2,1,2,0 =
−
=
=
=
yy
x
x
,
12.18
()
yxyxz −−= 4
2
,
6,0,0
=
+
=
=
y
x
y
x
,
12.19
()
yxyxz +++= sinsinsin ,
2
,0,
2
,0
π
π
==== yyxx ,
12.20
yxxyyxz −−++=
22
,
3,0,0
=
+
=
=
y
x
y
x
,
12.21
()
yxyxz +++= cossinsin ,
2
3
,0,
2
3
,0
π
π
==== yyxx ,
12.22
()
yxyxz += coscoscos ,
π
π
=
=
=
=
yy
x
x
,0,,0,
12.23
()
yxyxz += sinsinsin ,
π
π
=
=
=
=
yy
x
x
,0,,0,
12.24
()
yxyxz 325
2
−−= ,
1,0,0
=
+
=
=
y
x
y
x
,
12.25
2
2
53
xy
yxxy
z −−= ,
1
82
,0,0 =+==
yx
yx ,
12.26
2232
95 yxyxyxz −−=
,
(
)
2
1,0,0 −=== xyyx
.
ЗАДАЧА № 13. Найти наибольшее и наименьшее значение функции в области,
ограниченной замкнутой кривой (внутри кривой)
13.1
xy
z = ,
1
22
=+ yx ,
13.2
33
yxz += , 1
94
22
=+
yx
,
13.3
()
22
32
22
yxez
yx
+=
−−
,
4
22
=+ yx
,
13.4
22
1 yxz −−=
,
1
92
22
=+
yx
,
13.5
yxz
2
= , 1
22
=+ yx ,
13.6
44
yxz += , 4
22
=+ yx ,
13.7
22
yxz +=
,
(
)
(
)
922
22
=−+− yx ,
13.8
22
1 yxz −−= ,
(
)
(
)
111
22
=−+− yx ,
13.9
()
22
2
3
yxz +=
,
(
)
0,0,3
33
≥≥=+ yxxyyx
,
13.10
33
66 yxz += ,
(
)
0,0,3
33
≥≥=+ yxxyyx ,
13.11
y
x
z 33 += ,
(
)
0,0,3
33
≥≥=+ yxxyyx
,
13.12
y
x
z 44 += ,
2
44
=+ yx
,
13.13
y
x
z 66
−
=
,
2
66
=+ yx
,
13.14
5
2
5
23
7
10
17
20
yyxxz ⋅+⋅=
,
2
24
=+ yx ,
13.15
3
2
3
27
5
18
23
36
yyxxz ⋅+⋅=
,
2
816
=+ yx ,
