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8.
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I. . .
1.1.
1.2.
1.3.
1.4.
1.5.
1.6.
1.7.
1.8.
1.9.
1.10.
1.11.
1.12.
1.13.
1.14.
1.15.
1.16.
1.17.
1.18.
1.19.
1.20.
II. , , . .
2.1. y = x, x = 2, xy = 1
2.2. xy = 6, x+y = 7
2.3. y = -x2 +4 x -1, y = -x -1
2.4. y = x2 +2 x, x-y = -2
2.5. y = x, y = 2 x, x+y = 6
2.6. y2 = x, x+y = 2
2.7. y = x2, y = 4- x2
2.8. x = 4
2.9. ,
2.10. x = y2, 4 x -6 y +2 = 0
2.11. x = 9
2.12. y 2 = 2 x +1, y = x -1
2.13. y = x2, x+y = 2, x = 2
2.14. y = x2, y = 3-2 x
2.15. y = 2 x -2, x+y = 7, y = 0, y = 2
2.16. y-x = 0, 2x-y = 6, y = 0
2.17. x+y = 2, y = 0
2.18. y = x2, y = 2 x
2.19. , x = 0, y = 0
2.20. x = y2, y = x3
III. , . .
3.1. z = 4- y 2, z = y2 +2, x = -1, x = 2
3.2. z = x2-y2, z = 0, x = 3
3.3. z = x2+y2, z = x2 +2 y 2, y = x, y = 2 x, x = 1
3.4. z = x, z = 0, x2+y2 = 4,
3.5. z = y-x2, 4 x2 = y, y = 1, z = 0
3.6. z = x2+y2 +1, x = 2, y = 3, x = 0, y = 0, z = 0
3.7. z = x2+y2, x+y = 1, x = 0, y = 0, z = 0
3.8. z = 2 x2+y2, x+y = 2, x = 0, y = 0, z = 0
3.9. z = x2+y2, y = x2, y = 1, z = 0
3.10. z = 4- x2, , x = 0, y = 0, z = 0
3.11 z = x2 + y2, y = , x + y =2, z = 0, x =0
3.12 z = 9- y 2, 3 x +4 y = 12, x = 0, y = 0, z = 0, y 0
3.13 z = 4- x, y = 4 x2, y = 0, z = 0
3.14 z = 4- y2, , z = 0
3.15 z=x2+y2, , x+y = 2, z = 0, y = 0
3.16. z = 3 y, z = 0, x+y = 4,
3.17 x = 15- z-y, z = 0, x = 5, y = 5
3.18. z = x2, z = 0, 2 x-y = 0, x+y = 9
3.19 z = y2-x2, z = 0, y = 3
3.20 z = x2+y2 +1, x = 4, y = 4, x = 0, y = 0
IV. .
4.1 , L (0,0) B (4,3)
4.2 , L A(-1,1) B (1,1)
4.3 , L y = x2 A(-1,1) B(1,1)
4.4 , L A(1,2) B(2,4)
4.5 , L A(0.-2) B(4,0)
4.6 , L
4.7 , L , M(2,0) N(4,2)
4.8 , L , O(0,0) A(4,3)
4.9 , L , O(0,0) A(1,2)
4.10 , L
4.11 , L x 2 + y 2 = 4
4.12 , L A(0,0) B(1,2)
4.13 , L M(0,1) B(2,3)
4.14 , L - y = x O(0,0) B(2,1)
4.15 , L A(4,0)