Calculus Volume 1

Answer Key

785

197 .

199 . These are inverses. 201 . These are not inverses. 203 . These are inverses. 205 . These are inverses. 207 .

π 6 π 4

209 .

211 . π 6 213 . 2 2 215 . −

π 6 217 . a. x = f −1 ( V ) = 0.04− V

500 b. The inverse function determines the distance from the center of the artery at which

blood is flowing with velocity V . c. 0.1 cm; 0.14 cm; 0.17 cm 219 . a. $31,250, $66,667, $107,143 b. ⎛ ⎝ p = 85 C C +75 ⎞ ⎠ c. 34 ppb 221 . a. ~92° b. ~42° c. ~27° 223 . x ≈ 6.69, 8.51; so, the temperature occurs on June 21 and August 15 225 . ~1.5sec 227 . tan −1 (tan(2.1)) ≈ − 1.0416; the expression does not equal 2.1 since 2.1>1.57= π restricted domain of tan x . cos −1 (cos(2.1)) = 2.1, since 2.1 is in the restricted domain of cos x . 229 . a. 125 b. 2.24 c. 9.74 231 . a. 0.01 b. 10,000 c. 46.42

2 —in other words, it is not in the

233 . d 235 . b

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