,
, :
1. 11 + 9 5 = 0 :
= {11,9}
= 2t,
2. = -1 + t, :
n = {-1,2}
-1 -3
3. S , 2 -2
z+4
3, :
{2,-2,3}
1. 5 -2 1
3 1 -4
6 0 -3 :
9
2. 1 2 3
2 -11
1 -4 2 :
-25
3. , :
11 12
21 22
4. , :
11 12 13
21 22 23
31 32 33
1. :
0 + 0 +
2 + 2
2. f () [1,7], : f (5) = 0, f () <0 (1,5), f() >0 (5,7). :
f min = f (5)
3. f () = 3 27:
1 = - 3 2 = - 3
4. f () [2,5], : f (3) = 0, f () <0 (2,3), f () < 0 (3,5). :
f () (2,5)
5. f () =3 - __:
1 = 1 2 = 1
3 3
6. f () = 3 -3:
1=-1 2=1
7. f () = 3 +3:
i.
8. f () [-2,1], : f (0)=0, f ()>0 (-2,0), f ()<0 (0,1). :
ii. f mn = f (0)
1. 2 + 1 = 0 :
= {-1,-2}
,
, z :
= + * t
= + * t
z = zo + az * t
4. : 1) 3-4+5=0;2) 2+5-4=0; 3) 6-8-3=0; 4) 3-5+5=0. :
1, 3
5. f()= __ 2 ___ :
-1
__2-2__
(-1)2
6. f() = 5 2 :
___-___
5 2
7. f() = 52 + 23 -3 :
___2___
33 2
8. f() = ln 3 :
iii. 1 -
7. f() = ( 3 * ) :
iv. (3 2 + 3)
9. mxn = (aij) nxp =(b jk) mxp =(cik), , :
v. ik= a il b lk + ailb2k + ..+ ainbnk, i = l, m, k =l, p
9. lim __tg __ :
0
1
10. lim __ 2 -25__ :
5 5
10
11. lim __1__ _ __3__ :
1 1- 1-3
- 1
12. lim __sin a __ :
0 tg
vi. __
15. lim __sin __ :
0
vii. 1
13. lim ___8 -7__ :
0 2 - 2 +1
0
2. lim _______ :
|
|
0 + 9 -3
6
12. lim _1-cos _ :
0 2
_1_
11. lim __2 +3__ :
2 3 + 1
1
11. lim __8 +3__ :
2 + 2 +4
1. 3 + 2 = 5,
= 5 :
= 3, = -2
2.. 3 + 2 = 5,
= 5 :
= 3, = -2
= -2, =3
2. 2 -3 = -8,
+3 = 5 :
= -1, = 2
3. - + 2 = 5,
3 = -5 :
= -1, = 2
2 3 1 2
0 2 -1 1
3. 4 0 5 1 :
2
4. 2 0 4 0
3 0 6 0
1 0 -3 0 :
2
5. 5 3 8
4 3 1
3 2 3 :
2
5. 0 (2;-1) 3+4-22=0 :
4
6. 0 (0,0,z0) Q, ++z+D=0, :
0 + 0 +z0 +D
2 + 2 +2
1 -7 2
D = 310
4. -2 3 4
:
-7 2 1 2
D = (-3) * +
3 4 -2 4
5. 4 3 -1
D = 62-5
1 0 1
:
6 -5 -4 -1
D = (-3) * +2
1 1 1 1
2 -3 3 3
1. 4 5 -2 -5 :
viii. 5 0
2 0
+1 1, +1 -1
1. 4 3 -1 2 :
3(+1) = 4 (-1)
2(+1) = - (-1)
2. 2-+9=0, 9++7=0 :
2-=-9,
9+=-7
3. 2-+9=0, 9++7=0 :
2-=-9
ix. 9+=-7
1. = f()
0 :
_ ___1___
f ()
2. = 2 0(0,1) :
-1/2
, (1,2,0)
= {2,-1,3}, :
2 + 3z = 0
5. : -2+5z-4=0. n, :
{1,-2,5}
, F(0,2),
= -2, :
2 =8
7. , =4, b=3, :
2 2 = 1
16 9
5. , = 6, b=2 :
2 2 = 1
36 4
6. , = 5, b=3 :
2 2 = 1
25 9
7. , V(1;2) N(0;3), :
= -+3
6. :
2 2
2 b2 = 1
7. :
lim _sin _
0
8. :
lim
9. , :
x. b = b + b + z bz
10. :
xi. = i+a j+ k
11. :
0 + 0 +
2 + 2