Math_reweniya

Special for ITM and FIN^_^ Теорию сами найдете  удачи!!!

1. Determine the domain of the function:

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2. Determine the domain of the function:

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3. Determine the domain of the function:

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4. Determine the domain of the function:

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5. Determine the domain of the function:

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6. Find the limit of the function:

7. Find the limit of the function:

• 10

8. Find the limit of the function:

• 2/5

9. Find the limit of the function:

• -1/2

10. Find the limit of the function:

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11. Find the limit of the function:

• 0

12. Find the limit of the function:

• 5

13. Find the limit of the function:

• 4

14. Find the limit of the function:

• 8

15. Take derivative of the function:

• 42 x cos (7-1)

16. Take derivative of the function:

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17. Take derivative of the function:

• 2 x lnx + x

18. Take derivative of the function:

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19. Take derivative of the function:

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20. Take second order derivative of the function:

• _24x+10

21. Take second order derivative of the function: y = sinx

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22. Take derivative of the function: y = (sinx)³

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23. Take derivative of the function: y = (lnx)²

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24. Take derivative of the function: y =

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25. Take derivative of the function: y =

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26. Take derivative of the function: y =

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27. Take derivative of the function: y =

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28. Take derivative of the function: y =

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29. Find the interval where the function is increasing:

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30. Find the interval where the function is decreasing:

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31. Find the extreme points of the function :

• y(1)-max and y(3) -min

32. Find the extreme points of the function :

• y(2)-max and y(4) -min

33. Find the extreme points of the function :

• y(3) - min

34. Find the interval where the function is concave up:

• or x>-1

35. Find the interval where the function is concave down:

• X<-1

36. Find the points of inflection of the function:

• X= -1

37. Find the interval where the function is concave up:

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38. Find the interval where the function is concave down:

• X<2

39. Find the points of inflection of the function:

• X=2

40. Find the equations of the vertical asymptotes of the function:

• x= -3 and x=3

41. Find the equations of the vertical asymptotes of the function:

• x= -5 and x=5

42. Find the equations of the horizontal asymptotes of the function:

• Y=2

43. Find the equations of the horizontal asymptotes of the function:

• Y=3

44. Find the partial derivative of the function of two variables:

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45. Find the partial derivative of the function of two variables:

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46. Find the partial derivative of the function of two variables:

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47. Find the partial derivative of the function of two variables:

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48. Find the partial derivative of the function of two variables:

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49. Find the partial derivative of the function of two variables:

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50. Find the partial derivative of the function of two variables:

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51. Find the partial derivative of the function of two variables:

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52. Find the partial derivative of the function of two variables:

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53. Find the partial derivative of the function of two variables:

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54. Find the partial derivative of the function of two variables:

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55. Find the partial derivative of the function of two variables:

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56. Find the partial derivative of the function of two variables:

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57. Find the partial derivative of the function of two variables:

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58. Evaluate the indefinite integral:

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59. Evaluate the indefinite integral:

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60. Evaluate the indefinite integral:

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61. Evaluate the indefinite integral:

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62. Evaluate the indefinite integral:

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63. Evaluate the indefinite integral:

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64. Evaluate the indefinite integral:

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65. Evaluate the indefinite integral:

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66. Evaluate the indefinite integral:

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67. Evaluate the indefinite integral:

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68. Evaluate the indefinite integral:

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69. Evaluate the indefinite integral:

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70. Evaluate definite integral:

• 10/3

71. Evaluate definite integral:

• 2/3

72. Evaluate definite integral:

• 1

73. Evaluate definite integral:

• 1

74. Evaluate definite integral:

• 4

75. Find the area bounded between two curves:

• 32/3

• 2/9

• 4/3

• 1

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  1/2

76. Find the area bounded between two curves:

• 36

• 3

• 52

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  -36

• 1

77. Find the area bounded between two curves:

• 32/3

• 32

• 17/5

• 2/5

• 1

78. Find the area bounded between two curves:

• 8/3

• 25/2

• 12

• 1/3

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  1

79. Find the area bounded between two curves:

• 9/2

• 25/2

• 12

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  1/3

• 1

80. Find the area bounded between two curves:

• 9/2

• 25/2

• 12

• 1/3

• 1

81. Find the area bounded between two curves:

• 125/3

• 25/2

• 12

• 1/3

• 1

82. Find the area bounded between two curves:

• 256/3

• 25/2

• 12

• 1/3

• 1

83. Find the general solution of differential equation:

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84. Find the general solution of differential equation:

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85. Find the general solution of differential equation:

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86. Find the general solution of differential equation:

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87. Find the general solution of differential equation:

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88. Find the general solution of differential equation:

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89. Find the general solution of differential equation:

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90. Find the general solution of differential equation:

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91. Find the general solution of differential equation:

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92. Find the general solution of differential equation:

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93. Find the general solution of differential equation:

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94. Find the general solution of differential equation:

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95. Find the general solution of differential equation:

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96. Find the general solution of differential equation:

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97. Find the general solution of differential equation:

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98. Find general solution of differential equation:

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99. Find general solution of differential equation:

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100. Find general solution of differential equation:

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101. Find general solution of differential equation:

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102. Find general solution of differential equation:

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103. Find general solution of differential equation:

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104. Find general solution of differential equation:

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105. Find general solution of differential equation:

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106. Find general solution of differential equation:

107. Find general solution of differential equation:

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108. Take the limit using L^,Hopital^,s rule :

• 0

109. Take the limit using L^,Hopital^,s rule :

• ~

110. Take the limit using L^,Hopital^,s rule :

• ~

111. Take the limit using L^,Hopital^,s rule :

• -2

112. Take the limit using L^,Hopital^,s rule :

• -6

113. Take the limit using L^,Hopital^,s rule :

• -6

114. Take the limit using L^,Hopital^,s rule :

• ln5

115. Take the limit using L^,Hopital^,s rule :

• 12/ln5

116. Take the limit using L^,Hopital^,s rule :

• 9

117. Take the limit using L^,Hopital^,s rule :

• 9/4

118. Take the limit using L^,Hopital^,s rule :

• -1

119. Take the limit using L^,Hopital^,s rule :

• 0

120. Take the limit using L^,Hopital^,s rule :

• Ln4/3

121. Take the limit using L^,Hopital^,s rule :

• 2ln5

122. Take the limit using L^,Hopital^,s rule :

• 0

123. Take the indefinite integral:

• _{or Sinx*tgx+cosx}

124. Take the indefinite integral:

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125. Take the indefinite integral:

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126. Take the indefinite integral:

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127. Take the indefinite integral:

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128. Take the indefinite integral:

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129. Take the indefinite integral:

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130. Take the indefinite integral:

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131. Take the indefinite integral:

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132. Take the indefinite integral:

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133. Which of the following functions is inverse to the function:

134. Which of the following functions is inverse to the function:

135. Which of the following functions is inverse to the function:

136. Which of the following functions is inverse to the function:

137. Which of the following functions is inverse to the function:

138. Which of the following functions is inverse to the function:

139. Which of the following functions is inverse to the function:

140. Which of the following functions is inverse to the function:

141. Which of the following functions are even functions: a) ; b) ; c) d) e)

142. Which of the following functions are odd functions: a) ; b) ; c) d) e)

143. Take differential of the function:

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144. Take differential of the function:

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145. Take differential of the function:

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146. Take differential of the function:

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147. Take differential of the function:

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148. Take differential of the function:

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149. Take differential of the function:

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150. Take differential of the function:

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151. Take differential of the function:

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152. Take differential of the function:

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