1. .
. ,
, :
2.
.
,
, .
3. t = 4 t = 4,025.
. :
, ds. t = 4:
ds, , 0,000112. , , , .
4. = 2,995.
. : , = 3:
= 3:
,
5. = 10 0,03 . .
. V (10)=103=1000.
0,03 , ..
, = 10:
.. 0,1 .
1 25. :
1. . 2. .
3. . 4. .
5. . 6. .
7. . 8. .
9. . 10. .
11. . 12. .
13. . 14. .
15. . 16. .
17. . 18. .
19. . 20. .
21. . 22. .
23. . 24. .
25. .
26 35. . :
26. . 27. .
28. 29. .
30. . 31. .
32. . 33. .
34. . 35. .
36 50. :
36. . 37. . 38. .
39. . 40. . 41. .
42. . 43. . 44. .
45. . 46. . 47. .
48. . 49. . 50. .
51. , (1; 1), (2; 3) (5; -1) .
52. , (-3; 4; 8) 12.
53. (1; 4), (3; -9), (-5; 2). , .
54. (1; -2; 2), (1; 4; 0), (-4; 1; 1) D(-5; -5; 3) D. , D .
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55. (5; 2; -4), (9; -8; -3), (16; -6; -11).
56. , (4; 5).
57. , (3; -1; 6), (-1; 7; -2), (1; -3; 2) .
58. (3; 4), (3; 8) (6; 4).
59. . .
60. , (4; -1; 2) (0; 2; -1).
61. (2; -3; -5) (-1; 3; 2) (4; -1; 7). .
62. , (3; -1; 2), (0; -4; 2), (-3; 2; 1) .
63. . .
64. , (2; 0; 2) (5; -2; 0) .
65. (-3; 5; 6), (1; -5; 7), (8; -3; -1).
66. , (-8; 13) 17 .
67. (8; 0; 7), (10; 2; 8), (10; -2; 8).
68. , (1; -1; 2).
69. : (3; -5), (5; -3), (-1; 3). , .
70. , (2; 2) (1; 5) .
71. (-6; 4), (2; -2), (-4; 3) . , .
72. (2; 2; 2), (6; 5; 0), (0; 3; 8) . .
73. , (1; -3; 7) (5; 7; -5).
74. , : (1; -3; 0), (-2; 4; 1), (-3; 1; 1).
75. (-1; -2; 4), (-4; -2; 0) (3; -2; 1).
76. , (-5; -1) , 4. .
77. , (5; -4) 3 2 7 = 0. .
78. , + 2 6 = 0. .
79. , (2; 1) = 3 4. .
80. 2 + 1 = 0 , (1; 3) (-1; -3). .
81. 4 3 9 = 0, 3 +4 +12 = 0, 2 + 4 = 0. . .
82. , , (-5; 2), (1; -8). .
83. , (4; 1), (-1; -4). .
84. (3; 2), (5; -2) (1; 0). , . .
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85. , 5 + 2 + 10 = 0, , 5. . .
86. 4 + 3 12 = 0, . .
87. (2; 4), (0; 2), (4; -2). , . .
88. , (3; 4) (-7; 3) (11; -15). .
89. (2; 3) (-1; 0). , . .
90. , (2; 3) , . .
91. , (2; -5) , 3. .
92. (4; 7) (2; -3). . .
93. (-1; 3), (3; -2), (5; 3). , . .
94. (-1; 2) (2; 3) . . .
95. , , (-5; 7) (3; -11), . .
96. (-2; 1) 2 7 + 14 = 0 . . .
97. (2; -7) (-3; 1). , (-2; 3) . .
98. (-4; 5) , 7 + 8 = 0. . .
99. (2; 3) , . .
100. , (2; 0; 2) (5; -2; 0) . .
101. ) f() = (2 3)/(2 + 3) .
) , 30 , , . ?
102. ) f() = (cos 3)/(1 - sin3) .
) = 4 2 = 1.
103. ) .
) . .
104. ) .
) = 3 62.
105. ) f(x) = sin x/(2 cos2x) .
) 40 . ?
106. ) f() = 3 ∙ 3 .
) = 3 + 2 = 1.
107. ) .
) s = -10t3 +15t2 + 2t. .
108. ) .
) 8 , .
109. ) f(x) = cos2 x 2 ln cos x .
) = 23 42 + 6 3 = 1.
110. ) f(x) = 1/(1 - x2)3 .
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) s = (1/4) t4 4t3 + 16t2. ?
111. ) .
) 24 . , ?
112. ) f(t) = sin4t cos4t .
) = /(1 + 2) = 0.
113. ) f(x) = (ex e-x)/ (ex + e-x) .
) s = t3 9t2 + 24t. . ?
114. ) .
) 30 50 2 , . ?
115. ) f(x) = (2 sin x)/(2 + sin x) .
) y = x3 + 3x2.
116. ) .
) = 3 32 + 9 1 = 1.
117. ) f(x) = cos x (1/3) cos3x .
) 100 , .
118. ) y = ln sin x + (1/2) cos2x .
) s = -t3 + 3t2 + 9t + 3. .
119. ) f(x) = (1/2)tg2x + ln cos x .
) = 3 - 12.
120. ) f(x) = tg x + (1/3)tg3x .
) , 72 3, , 1: 2. , ?
121. ) .
) s = -(1/6)t3 + 3t2 5. , .
122. ) .
) , . , 800 2, ?
123. ) .
) , , ?
124. ) f(x) = ln sin x .
) = 23 + 32.
125. ) f(x) = (1 cos 2x)/(1 + cos 2x) .
) 4 3 , , . , ?
126 130. :
126. . 127. .
128. . 129. . 130. .
131 135. :
131. .
132. .
133. .
134. .
135. .
136 140. :
136. 2 1,998.
137. 1 1,02.
138. .
139. 0,5 0, 503.
140. 4 4,001.
141. = 3,01.
142. = 1,02.
143. = 2,997.
144. = 0,02.
145. = 0,99.
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146. , = 3, 0,09.
147. 10 . , , 0,02 .
148. 0,16 2. .
149. , 5 5,03 .
150. , 20 20,2 .
1. .., .. . ., 1980.
2. 10-11 .. , .. , .. . .: 2002 .
3. . .., .., .. . .: , 1999 .
4. .