Thomas Calculus 13th [Solutions]

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∞ ∞ ∞ ww w 17. y xy 3y œ 0 Ê n 2 n n 1 c x x n 1 n c x 3 n c x œ 0 n n n nœ2 nœ1 nœ0 ∞ ∞ ∞ n2 nn 1c x n nc x n n n 3cnx 0 nœ2 nœ1 nœ0 Ê œ power of x coefficient equation 0 3 x 21c 2 3c0 œ 0 Ê c2 œ 2c0 1 1 x 32c 3 1c 1 3c1 œ 0 Ê c3 œ 3c1 2 1 1 x 43c 4 2c 2 3c2 œ 0 Ê c4 œ 12c2 œ 8c0 3 x 54c 5 3c3 3c3 œ 0 Ê c5 œ 0 4 1 1 x 65c 6 4c 4 3c4 œ 0 Ê c6 œ 30c4 œ 240c0 ã ã ã n n3 x n 2n 1c n c 3c œ 0 Ê c œ c n2 n n n2 n2n1 n Section 17.5 Power-Series Soutions 1029 3 2 1 3 1 4 1 6 yœ c cx cx cx cx cx á œ cˆ 3 2 1 4 1 6 1 1 x x x á‰ cˆ 3 x x‰ 0 1 2 0 6 1 8 0 240 0 0 2 8 240 1 3 ∞ ∞ ∞ # ww w # 18. x y 4xy 6y œ 0 Ê x n 2 n n 1 c x 4x n 1 n c x 6 n c x œ 0 n n n nœ2 nœ1 nœ0 ∞ ∞ ∞ n nn 1c x n 4nc x n n n 6cnx 0 nœ2 nœ1 nœ0 Ê œ power of x coefficient equation 0 x 6c0 œ 0 Ê c0 œ 0 1 x 41c 1 6c1 œ 0 Ê c1 œ 0 2 x 21c 242c 2 6c2 œ 0 Ê 0œ 0 3 x 32c 343c 3 6c3 œ 0 Ê 0œ 0 4 x 43c 444c 4 6c 4 œ 0 Ê c 4 œ 0 ã ã ã n x nn 1c 4n c 6c œ 0 Ê c œ 0 2 2 3 3 y œ c x c x n n n n Copyright © 2010 Pearson Education, Inc. Publishing as Addison-Wesley.
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1 Functions 1 TABLE OF CONTENTS 1.1
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8.3 Trigonometric Integrals 569 8.4
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2 Chapter 1 Functions 15. The domai
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4 Chapter 1 Functions 3 0 0 ( 1) 1
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6 Chapter 1 Functions 43. Symmetric
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8 Chapter 1 Functions 68. (a) From
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10 Chapter 1 Functions The complete
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12 Chapter 1 Functions 35. 36. 37.
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14 Chapter 1 Functions (c) domain:
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16 Chapter 1 Functions 69. 3 y f (
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18 Chapter 1 Functions (c) (d) 80.
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20 Chapter 1 Functions 21. 22. peri
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22 Chapter 1 Functions 40. sin(2 x)
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24 Chapter 1 Functions 65. A 2, B 2
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26 Chapter 1 Functions 1.4 GRAPHING
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28 Chapter 1 Functions 17. [ 5, 1]
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30 Chapter 1 Functions 35. 36. 37.
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32 Chapter 1 Functions 9. 10. 11. 2
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34 Chapter 1 Functions 35. After t
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36 Chapter 1 Functions 24. Step 1:
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38 Chapter 1 Functions y 1 36. y =
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40 Chapter 1 Functions 56. (a) (b)
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42 Chapter 1 Functions 1 50 50 50 (
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44 Chapter 1 Functions 10. 5 3 5 y(
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46 Chapter 1 Functions 37. (a) ( f
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48 Chapter 1 Functions 50. (a) Shif
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50 Chapter 1 Functions 65. Let h he
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52 Chapter 1 Functions 81. (a) No (
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54 Chapter 1 Functions 11. If f is
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56 Chapter 1 Functions 21. (a) y =
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58 Chapter 1 Functions Copyright 20
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60 Chapter 2 Limits and Continuity
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116 Chapter 3 Derivatives 9. m 3 3
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118 Chapter 3 Derivatives 32. (2 )
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120 Chapter 3 Derivatives 45. (a) T
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122 Chapter 3 Derivatives 2. 2 2 F(
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124 Chapter 3 Derivatives 18. 19. (
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126 Chapter 3 Derivatives (b) The t
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128 Chapter 3 Derivatives 48. (a) f
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130 Chapter 3 Derivatives 59. The g
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132 Chapter 3 Derivatives 6. y 3 2
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134 Chapter 3 Derivatives 33. 34. 3
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136 Chapter 3 Derivatives 56. (a) 3
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138 Chapter 3 Derivatives 74. (a) W
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140 Chapter 3 Derivatives 10 . (a)
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142 Chapter 3 Derivatives 25. 6 4 3
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144 Chapter 3 Derivatives 36. (a) v
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146 Chapter 3 Derivatives 25. r sec
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148 Chapter 3 Derivatives 44. We wa
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150 Chapter 3 Derivatives 64. cos(
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152 Chapter 3 Derivatives 3.6 THE C
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154 Chapter 3 Derivatives y 1 6 1 1
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156 Chapter 3 Derivatives 58. sin(
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158 Chapter 3 Derivatives 82. g( x)
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160 Chapter 3 Derivatives (b) y sin
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162 Chapter 3 Derivatives (c) df dt
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168 Chapter 3 Derivatives 47. 2 2 x
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170 Chapter 3 Derivatives Mathemati
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172 Chapter 3 Derivatives 13. y 2 l
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174 Chapter 3 Derivatives 44. 1 1/2
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178 Chapter 3 Derivatives 100. Supp
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180 Chapter 3 Derivatives 3.9 INVER
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184 Chapter 3 Derivatives 60. (a) D
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186 Chapter 3 Derivatives 65. The v
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188 Chapter 3 Derivatives 2 2 2 2 2
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190 Chapter 3 Derivatives 35. 1 dy
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192 Chapter 3 Derivatives 3.11 LINE
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194 Chapter 3 Derivatives x x x x 3
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196 Chapter 3 Derivatives 2 dA dt d
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198 Chapter 3 Derivatives As one zo
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200 Chapter 3 Derivatives 12. y 1 2
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202 Chapter 3 Derivatives 43. 1 4x
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204 Chapter 3 Derivatives 72. 2 1/2
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206 Chapter 3 Derivatives 90. 2 t 2
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208 Chapter 3 Derivatives 104. y si
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210 Chapter 3 Derivatives 124. rabb
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212 Chapter 3 Derivatives 147. Give
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214 Chapter 3 Derivatives CHAPTER 3
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216 Chapter 3 Derivatives 2 (b) On
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218 Chapter 3 Derivatives k k k k d
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220 Chapter 4 Applications of Deriv
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344 Chapter 5 Integration 3. f ( x
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346 Chapter 5 Integration 13. (a) B
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348 Chapter 5 Integration for n in
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350 Chapter 5 Integration n n 17. (
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352 Chapter 5 Integration 34. (a) (
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354 Chapter 5 Integration 45. 3 f (
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356 Chapter 5 Integration 2 2 17. T
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358 Chapter 5 Integration 33. 3 3 3
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360 Chapter 5 Integration b b 54. L
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362 Chapter 5 Integration 62. (a) 1
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364 Chapter 5 Integration 3 1 2 1 n
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366 Chapter 5 Integration (c) av( f
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368 Chapter 5 Integration 95-102. E
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370 Chapter 5 Integration 10. (1 co
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372 Chapter 5 Integration 34. 0 x 1
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374 Chapter 5 Integration 57. 2 x 2
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376 Chapter 5 Integration 71. Area
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378 Chapter 5 Integration 85 88. Ex
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380 Chapter 5 Integration 2 1 2 2 4
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382 Chapter 5 Integration 3 2 2 27.
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384 Chapter 5 Integration x 53. Let
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386 Chapter 5 Integration 72. csc x
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388 Chapter 5 Integration (b) Use t
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390 Chapter 5 Integration 17. Let u
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394 Chapter 5 Integration 2 3 54. F
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396 Chapter 5 Integration 65. a 0,
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398 Chapter 5 Integration 73. Limit
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400 Chapter 5 Integration 2 4 81. L
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402 Chapter 5 Integration 91. c 0,
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404 Chapter 5 Integration (c) 2 c f
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406 Chapter 5 Integration 116. Let
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408 Chapter 5 Integration 3. (a) (b
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410 Chapter 5 Integration 15. f ( x
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412 Chapter 5 Integration 27. f ( y
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416 Chapter 5 Integration 68. dx du
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418 Chapter 5 Integration 90. 3 /4
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420 Chapter 5 Integration 110. 8 8
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422 Chapter 5 Integration 130. The
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424 Chapter 5 Integration 8. The de
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426 Chapter 5 Integration 3 24. Let
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428 Chapter 5 Integration 36. y 3 x
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430 Chapter 5 Integration Copyright
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432 Chapter 6 Applications of Defin
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508 Chapter 7 Integrals and Transce
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536 Chapter 7 Transcendental Functi
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544 Chapter 8 Techniques of Integra
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662 Chapter 9 First-Order Different
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702 Chapter 10 Infinite Sequences a
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802 Chapter 11 Parametric Equations
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878 Chapter 12 Vectors and the Geom
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928 Chapter 13 Vector-Valued Functi
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974 Chapter 14 Partial Derivatives
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1084 Chapter 15 Multiple Integrals
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1156 Chapter 16 Integrals and Vecto
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Thomas Calculus 13th [Solutions]

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