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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 .

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). , . .

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 .

) 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.

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. .





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