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: 3 . 100

()

A .

()

29 A, B C.

A 10 1 , B 12 4

C 7 6 .

()

. 4

4 3 6 .

1.

A 3 A = 64. A.

2.

4 2

2

3 0dy d y

ydx dx

+ =

3.

= 2 2 + 3 .

4. 1

0

3

1

y

x

+

0 5

2 1

=

6

8

.

5.

1 12 2

cos sin sin .3 3

+

6.

C 2 1 4

.

4 7 2

x y z = = .

7. | |a b

2 3 , 5 3 2 .a i j k b i j k = + + = +

8. a b 3 . 3.a b = 2

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9.

() = 4 + 3 . (), = .

10.

A =1

0

0

1

B =

0

1

1

0

. .

11. , 1 11 1

tan tan ,| | 1.2 2 4

x xx

x x

+ + =

18. =1

cos log tan2

a t

+

= . 2

2

d y

dx =

4

.

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19.

(3.05) () = 32= 15 = 15.

() () ()

() = 23 92 + 12 + 15.

20. 1 12

.

4. .

21.

7 ( )a b+ ( )a b

a i j k = + +

2 3 .b i j k = + +

22.

C 1 3 15 2 4

x y z += =

(3, 0, 4). A .

23. 4 , 3 2 .60. 2 4

.42. 2 3 .40.

.

( )3

2

12x x dx+ + .

24. A .

12.

.

1 1sin .3

25. 2+ 2= 16 2= 6.

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26. (2, 3, 4) 2 2 3 3 4

3 4 5

x y z+ + += =

4 + 12 3 + 1 = 0.

27. A 4000 , 50

1400 . A B .5 .4

. A 200 , 1 40

, B 100 , 2

40 . A B

, .

.

28. A, B C 60%, 30% 10% .

1%, 2% 3% A, B C . A

.

B.

29. ( )0log 1 cosx dx

+

2 2 2 20

.sin cos

xdx

a x b x

+