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TEST

1. For a given function , find the .

y(3y-4x)

2. For a given function z=x +3x y-y , find .

3x -3 y

3x + y

3x +6xy
3 y +6xy

3. For a given function z=sin(x+y) , find .

sin(x+y)

cos(x+y)
tg(x+y)

xcos(x+y)

4. For a given function z=sin(x+y) , find .

sin(x+y)
cos(x+y)
xcos(x+y)
ysin(x+y)

5. For a given function z= x siny, find .

x cos y
x cos y
2x sin y
2x sin y

6. Evaluate a triple integral

3
2

6
4

7. Evaluate a triple integral

ab
c

abc
ac

8. Evaluate a triple integral

àbc
cb
2c

9. Evaluate a triple integral

bc
abc

10. Evaluate a triple integral

11. Evaluate , where AB is the segment of y=x3 from A(0,0) to B(2,8).

8
7
6
5

12. Evaluate , where AB is the segment of y=x3 from A(0,0) to B(1,1).

1/6.
1/3.
1/4.
1/2.

13. Evaluate , where AB is the segment of y=x2 from A(0,0) to B(1,1).

1/2
1
1/3
2

14. Evaluate , where AB is the segment of y=x2 from A(0,0) to B(1,1).

1/2
1/3
1/4
3

15. Evaluate , where AB is the segment of y=x from A(0,0) to B(1,4).

1/2
3
2
1

16. Evaluate

2
-5

17. Evaluate

4/7
4/3
8/3
5/3

18. Evaluate

15/7
7/12
13/8
6/13

19. Evaluate

9
5/4
4/9
9/4

20. Evaluate

90
130
125
110

21. For a given function find

2
0
3
5

22. For a given function find

1/2
0
3
x/4

23. For a given function find

6y
3x
6x
3y

24. For a given function find

6y
6x
3x
3y

25. For a given function find

8xy
6xy
7xy
5xy

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