1. Page 1

2. ( 2 )3 ( 5 )2 ( 293 )
Page 2

3. 2 28 268435456
30605751221644063603537046129726862938858880417357699941677674125947
65331767168674655152914224775733499391478887017263688642639077590
03154226842927906974559841225476930271954604008012215776252176854
25596535690350678872526432189626429936520457644883038890975394348
96254360532259807765212708224376394491201286786753683057122936819
43649956460498166450227716500185176546469340112226034729724066333
25858350687015016979416885035375213755491028912640715715483028228
49379526365801452352331569364822334367992545940952768206080622328
12387383880817049600000000000000000000000000000000000000000000000
000000000000000000000000000
615
Page 3

4. ( 2 )2 ( 3 ) ( 11 ) ( 73 ) ( 157 )
n
(2 )
FermatPrime := 2 1
[ 5, 17, 257, 65537, 4294967297 18446744073709551617
, ]
[ ( 5 ), ( 17 ), ( 257 ), ( 65537), ( 641 ) ( 6700417), ( 67280421310721) ( 274177) ]
Page 4

5. 100
1 i
i 1 1 i4
1
k 1 k2
Page 5

6. Page 6

7. Page 7

8. Page 8

9. Page 9

10. Page 10

11. Page 11

12. [ x1 2 x2 6 x3 8 x4 14 x5 3 x6 0, 2 x1 4 x2 x3 8 x4 5 x5 x6 0,
3 x1 x2 4 x3 9 x4 10 x5 0, 3 x1 2 x2 x3 12 x4 x5 4 x6 0,
5 x1 7 x2 11 x3 11 x4 19 x5 9 x6 0 ]
Page 12

13. Page 13

14. y x sin( 3 x ) x
z f( x, y )
Page 14

15. Page 15

16. 1
2
n
Page 16

17. Page 17

18. rtheta r
r
r, , z
x
1 r cos ( t ) 1 r sin( t )
z2 0
4 9
6z
1
2
2
(9 5 sin( t ) )
Page 18

19. r cos ( t ) r sin( t )
z2 0
4 9
6z
9 5 sin( t ) 2
r, ,
Page 19

20. 2 a cos( )
a cos ( )
2
1x
1
2
2 2
12 e
1
2
Page 20

21. f( x )
f( x ) a f( x b) d
Page 21

22. Page 22

23. f := x x 2 sin( x )
Page 23

24. Page 24

25. x3 1 ex
f
g 0
Page 25