This document contains mathematical equations and calculations involving variables and coefficients. Steps are shown to solve for unknown variables through algebraic manipulation and substitution of values into equations. The final lines indicate the solution was checked against the original problem.

1.
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2. • S A
• Y 5 5 LF T V E
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3.
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4. • VT0 E 6 AI C
T O
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5. • T =S 6 AI S
C
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• EFA60 N 5 S L 6
=N LS

6.
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12. • SC D V C A
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13.
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14. • E
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16. • o TVC i
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17. • 5 TVC s V TVC D
m
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18.
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19. • D E C
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A ~∼
• I %

20. •
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21. •
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22. •
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23. •
– L
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24.
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25. • K
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26. •
– A
– O V ~∼ A
1 1-‐‑‒ L K O
ʼ’
C1=)
C2=1
C3=2
C4=2C5=2
C6=3
C7=5

27. • L A L
– O V ~∼ A
1 1-‐‑‒ L K O
– x A
1 1( 1-‐‑‒ L K O
ʼ’
C’1=(
C2=1
C3=2
C4=2C5=2
C6=3
C7=5

28. •
– L LLO
• ( I
– I
ʼ’
0*
6
2
2
2
2
C’1=(
C2=1
C3=2
C4=2C5=2
C6=3
C7=5

29. •
–
– A
ʼ’
C’1=(
C2=1
C3=2
C4=2C5=2
C6=3
C7=5

30. •
–
– A
ʼ’
2C2
C’1=(
C2=1
C3=2
C4=2C5=2
C6=3
C7=5

31. •
–
– A
ʼ’
2C3 2C2 x
2C2
C’1=(
C2=1
C3=2
C4=2C5=2
C6=3
C7=5

32. •
–
– A
ʼ’
2C7 2C6+2C5 2C4+2C3 2C2+x
2C6 2C5+2C4 2C3+2C2 x
2C5 2C4+2C3 2C2+x 2C4 2C3 2C2 x 2C3 2C2 x
2C2
C’1=(
C2=1
C3=2
C4=2C5=2
C6=3
C7=5

33. •
– (1-‐‑‒ (1, (1+ (1* (1) (1( (1=
– L T AS
– 1= 1-‐‑‒ 1, 1+ 1* 1) 1(
– A
ʼ’
2C7 2C6+2C5 2C4+2C3 2C2+x
2C6 2C5+2C4 2C3+2C2 x
2C5 2C4+2C3 2C2+x 2C4 2C3 2C2 x 2C3 2C2 x
2C2
C’1=(
C2=1
C3=2
C4=2C5=2
C6=3
C7=5

34. • K A O
– K L L
– L
ʼ’
0*
6
2
2
2
2
C’1=(
C2=1
C3=2
C4=2C5=2
C6=3
C7=5

35. • x C
–
• S AE ( I
F A
– K
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•

36. 23
3 45 65= 7 2 ) (, u

37. • fsrt S T_̲L
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40. 2
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42. 2
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43. 2
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46.
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48. •
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49. • N I
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N
• x N

50. • O S
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O S
• C D
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51. •
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x~∼
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x
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52.
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53. • Vg 2 X
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59.
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64. • u~∼
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-‐‑‒

65. • t Q
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g
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