Answer Key
807
137 . y =−7 x −3 139 . y =−5 x +7 141 . y = − 3 2 x + 15 2 143 . y =−3 x 2 +9 x −1 145 . 12 121 or 0.0992 ft/s
−2 t 4 −2 t 3 +200 t +50 ⎛ ⎝ t 3 +50 ⎞ ⎠ 2
b. −0.02395 mg/L-hr, −0.01344 mg/L-hr, −0.003566 mg/L-hr, −0.001579 mg/L-hr c. The
147 . a.
rate at which the concentration of drug in the bloodstream decreases is slowing to 0 as time increases. 149 . a. F ′( d ) = −2 Gm 1 m 2 d 3 b. −1.33×10 −7 N/m 151 . a. v ( t ) =6 t 2 −30 t +36, a ( t ) =12 t −30; b. speeds up (2, 2.5) ∪ (3, ∞), slows down (0, 2) ∪ (2.5, 3) 153 . a. 464ft/s 2 b. −32ft/s 2 155 . a. 5 ft/s b. 9 ft/s 157 . a. 84 ft/s, −84 ft/s b. 84 ft/s c. 25 8 s d. −32ft/s 2 in both cases e. 1 8 ⎛ ⎝ 25+ 965 ⎞ ⎠ s f. −4 965ft/s 159 . a. Velocity is positive on (0, 1.5) ∪ (6, 7), negative on (1.5, 2) ∪ (5, 6), and zero on (2, 5). b.
c. Acceleration is positive on (5, 7), negative on (0, 2), and zero on (2, 5). d. The object is speeding up on (6, 7) ∪ (1.5, 2) and slowing down on (0, 1.5) ∪ (5, 6).
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