34

1

site.iugaza.edu.pssite.iugaza.edu.ps/selshamy/files/2010/02/CH11.pdf · To the right if a > 0 and to the left if a < 0 y = By interchanging the variables x and y, we obtain

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Page 1: site.iugaza.edu.pssite.iugaza.edu.ps/selshamy/files/2010/02/CH11.pdf · To the right if a > 0 and to the left if a < 0 y = By interchanging the variables x and y, we obtain

1

Page 2: site.iugaza.edu.pssite.iugaza.edu.ps/selshamy/files/2010/02/CH11.pdf · To the right if a > 0 and to the left if a < 0 y = By interchanging the variables x and y, we obtain

2

Page 3: site.iugaza.edu.pssite.iugaza.edu.ps/selshamy/files/2010/02/CH11.pdf · To the right if a > 0 and to the left if a < 0 y = By interchanging the variables x and y, we obtain

3

Page 4: site.iugaza.edu.pssite.iugaza.edu.ps/selshamy/files/2010/02/CH11.pdf · To the right if a > 0 and to the left if a < 0 y = By interchanging the variables x and y, we obtain

4

Page 5: site.iugaza.edu.pssite.iugaza.edu.ps/selshamy/files/2010/02/CH11.pdf · To the right if a > 0 and to the left if a < 0 y = By interchanging the variables x and y, we obtain

5

Page 6: site.iugaza.edu.pssite.iugaza.edu.ps/selshamy/files/2010/02/CH11.pdf · To the right if a > 0 and to the left if a < 0 y = By interchanging the variables x and y, we obtain

6

Page 7: site.iugaza.edu.pssite.iugaza.edu.ps/selshamy/files/2010/02/CH11.pdf · To the right if a > 0 and to the left if a < 0 y = By interchanging the variables x and y, we obtain

7

Page 8: site.iugaza.edu.pssite.iugaza.edu.ps/selshamy/files/2010/02/CH11.pdf · To the right if a > 0 and to the left if a < 0 y = By interchanging the variables x and y, we obtain

8

Examples:

Page 9: site.iugaza.edu.pssite.iugaza.edu.ps/selshamy/files/2010/02/CH11.pdf · To the right if a > 0 and to the left if a < 0 y = By interchanging the variables x and y, we obtain

9

Page 10: site.iugaza.edu.pssite.iugaza.edu.ps/selshamy/files/2010/02/CH11.pdf · To the right if a > 0 and to the left if a < 0 y = By interchanging the variables x and y, we obtain

10

Page 11: site.iugaza.edu.pssite.iugaza.edu.ps/selshamy/files/2010/02/CH11.pdf · To the right if a > 0 and to the left if a < 0 y = By interchanging the variables x and y, we obtain

11

Page 12: site.iugaza.edu.pssite.iugaza.edu.ps/selshamy/files/2010/02/CH11.pdf · To the right if a > 0 and to the left if a < 0 y = By interchanging the variables x and y, we obtain

12

Page 13: site.iugaza.edu.pssite.iugaza.edu.ps/selshamy/files/2010/02/CH11.pdf · To the right if a > 0 and to the left if a < 0 y = By interchanging the variables x and y, we obtain

13

4)

Page 14: site.iugaza.edu.pssite.iugaza.edu.ps/selshamy/files/2010/02/CH11.pdf · To the right if a > 0 and to the left if a < 0 y = By interchanging the variables x and y, we obtain

14

Page 15: site.iugaza.edu.pssite.iugaza.edu.ps/selshamy/files/2010/02/CH11.pdf · To the right if a > 0 and to the left if a < 0 y = By interchanging the variables x and y, we obtain

15

Page 16: site.iugaza.edu.pssite.iugaza.edu.ps/selshamy/files/2010/02/CH11.pdf · To the right if a > 0 and to the left if a < 0 y = By interchanging the variables x and y, we obtain

16

Page 17: site.iugaza.edu.pssite.iugaza.edu.ps/selshamy/files/2010/02/CH11.pdf · To the right if a > 0 and to the left if a < 0 y = By interchanging the variables x and y, we obtain

17

Page 18: site.iugaza.edu.pssite.iugaza.edu.ps/selshamy/files/2010/02/CH11.pdf · To the right if a > 0 and to the left if a < 0 y = By interchanging the variables x and y, we obtain

18

Page 19: site.iugaza.edu.pssite.iugaza.edu.ps/selshamy/files/2010/02/CH11.pdf · To the right if a > 0 and to the left if a < 0 y = By interchanging the variables x and y, we obtain

19

Summary

Page 20: site.iugaza.edu.pssite.iugaza.edu.ps/selshamy/files/2010/02/CH11.pdf · To the right if a > 0 and to the left if a < 0 y = By interchanging the variables x and y, we obtain

20

Page 21: site.iugaza.edu.pssite.iugaza.edu.ps/selshamy/files/2010/02/CH11.pdf · To the right if a > 0 and to the left if a < 0 y = By interchanging the variables x and y, we obtain

21

Page 22: site.iugaza.edu.pssite.iugaza.edu.ps/selshamy/files/2010/02/CH11.pdf · To the right if a > 0 and to the left if a < 0 y = By interchanging the variables x and y, we obtain

22

Definition:

Summary:

Page 23: site.iugaza.edu.pssite.iugaza.edu.ps/selshamy/files/2010/02/CH11.pdf · To the right if a > 0 and to the left if a < 0 y = By interchanging the variables x and y, we obtain

23

Page 24: site.iugaza.edu.pssite.iugaza.edu.ps/selshamy/files/2010/02/CH11.pdf · To the right if a > 0 and to the left if a < 0 y = By interchanging the variables x and y, we obtain

24

Page 25: site.iugaza.edu.pssite.iugaza.edu.ps/selshamy/files/2010/02/CH11.pdf · To the right if a > 0 and to the left if a < 0 y = By interchanging the variables x and y, we obtain

25

Summary

Page 26: site.iugaza.edu.pssite.iugaza.edu.ps/selshamy/files/2010/02/CH11.pdf · To the right if a > 0 and to the left if a < 0 y = By interchanging the variables x and y, we obtain

26

Page 27: site.iugaza.edu.pssite.iugaza.edu.ps/selshamy/files/2010/02/CH11.pdf · To the right if a > 0 and to the left if a < 0 y = By interchanging the variables x and y, we obtain

27

OR:

Page 28: site.iugaza.edu.pssite.iugaza.edu.ps/selshamy/files/2010/02/CH11.pdf · To the right if a > 0 and to the left if a < 0 y = By interchanging the variables x and y, we obtain

28

Page 29: site.iugaza.edu.pssite.iugaza.edu.ps/selshamy/files/2010/02/CH11.pdf · To the right if a > 0 and to the left if a < 0 y = By interchanging the variables x and y, we obtain

29

Page 30: site.iugaza.edu.pssite.iugaza.edu.ps/selshamy/files/2010/02/CH11.pdf · To the right if a > 0 and to the left if a < 0 y = By interchanging the variables x and y, we obtain

30

Page 31: site.iugaza.edu.pssite.iugaza.edu.ps/selshamy/files/2010/02/CH11.pdf · To the right if a > 0 and to the left if a < 0 y = By interchanging the variables x and y, we obtain

31

Another formula for ellipse:

Page 32: site.iugaza.edu.pssite.iugaza.edu.ps/selshamy/files/2010/02/CH11.pdf · To the right if a > 0 and to the left if a < 0 y = By interchanging the variables x and y, we obtain

32

Page 33: site.iugaza.edu.pssite.iugaza.edu.ps/selshamy/files/2010/02/CH11.pdf · To the right if a > 0 and to the left if a < 0 y = By interchanging the variables x and y, we obtain

33

,

,

Page 34: site.iugaza.edu.pssite.iugaza.edu.ps/selshamy/files/2010/02/CH11.pdf · To the right if a > 0 and to the left if a < 0 y = By interchanging the variables x and y, we obtain

34

Example 2.

site.iugaza.edu.pssite.iugaza.edu.ps/akeshta/files/2014/12/Teaching...-ˆ ,˙˘ ˙˘- ˘,,, ˇ ˘1.˙˘ˆˇ /˘ , 1. ˘ - ˛˚˜ *$ , ˜ * ˚ 23 -˜ˆ ˚4˚ ˘ˆˇ /˘ , - ˘,, ˘˚

site.iugaza.edu.pssite.iugaza.edu.ps/akeshta/files/2014/12/Teaching...-ˆ ,˙˘ ˙˘- ˘,,, ˇ ˘1.˙˘ˆˇ /˘ , 1. ˘ - ˛˚˜ *$ , ˜ * ˚ 23 -˜ˆ ˚4˚ ˘ˆˇ /˘ , - ˘,, ˘˚

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