By Comtet L.

Show description

Read or Download Analyse combinatoire, tome 2 PDF

Similar mathematics books

Localization of nilpotent groups and spaces (Amsterdam NH by Peter John Hilton, etc. PDF

Hilton P. , Mislin G. , Roitberg J. Localization of nilpotent teams and areas (Amsterdam NH 1975)(ISBN 0720427169)

Additional info for Analyse combinatoire, tome 2

Sample text

2x − 3 x + 3 · x −2 x +1 3. x − 4 2x + 1 + x +1 x −1 4. 2x − 3 x +3 + x −2 x +1 5. x x −1 − x +1 x +1 6. x −1 1 − x −2 x −1 2 9. x x−1 1 x −y 1 =− x y(x + y) x(x + y) √ 2 2x ( x+1) −x 2 √ x+1 = x +1 2x(x + 1) − x 2 √ (x + 1) x + 1 2x 2 + 2x − x 2 x 2 + 2x x(x + 2) = = √ 3 (x + 1) x + 1 (x + 1) (x + 1) 3 EXERCISES Rewrite each expression in Exercises 1–16 as a single rational expression, simplified as much as possible. 1 = y (x + 1)(x + 2)(x + 2 − x − 1) (x + 1)(x + 2) x +1 = = 4 4 (x + 2) (x + 2) (x + 2) 3 = 7.

21/3 2−1 22/3 2−1/3 1/2 2 x y x −1/2 y x 1/3 y 105. y x 99. 32/3 3−1/6 98. 21/a /22/a 103. 2/3 3/2 x 101. 5/2 x x −1/2 y 104. 2 3/2 x y x −1/3 y 106. 3 y 5/4 102. 3/4 y 1/3 17 Solve each equation in Exercises 107–120 for x, rounding your answer to four significant digits where necessary. 107. x 2 − 16 = 0 4 109. x 2 − = 0 9 111. x 2 − (1 + 2x) 2 = 0 108. x 2 − 1 = 0 1 =0 110. x 2 − 10 112. x 2 − (2 − 3x) 2 = 0 113. x 5 + 32 = 0 114. x 4 − 81 = 0 115. x 1/2 − 4 = 0 1 117. 1 − 2 = 0 x 119. (x − 4) −1/3 = 2 116.

25 − 16 46. 25 − 16 √ √ 3 4 50. 81 − 16 51. 3 27/8 49. 8 − 27 √ 3 8 × 64 2 5x −3 x 72. √ x 75. 73. 1 3 2 3x √ 3 x 5 4 − √ + √ 79. 4 3 x 3x x √ 5 2 3 x 7 81. − √ 4 2 x3 1 3 − 3 83. 2 3 (x + 1) 4 (x 2 + 1) 76. 1 3 4x 2 x 3/2 2 + − 2 3 6 3x √ 3 7 5 x + √ 80. √ − 8 5 x 23 x 78. 1 2 82. 8x √x − √ 5 3 x3 84. 2 3 3 (x 2 + 1) 7 − 3(x 2 + 1) −3 4 Convert the expressions in Exercises 85–96 to radical form. 85. 22/3 86. 34/5 89. (x 1/2 y 1/3 ) 1/5 90. x −1/3 y 3/2 87. x 4/3 3 91. − x −1/4 2 88. y 7/4 4 92.

Download PDF sample

Analyse combinatoire, tome 2 by Comtet L.


by Kevin
4.1

Get Analyse combinatoire, tome 2 PDF
Rated 4.62 of 5 – based on 28 votes