Answer Key
813
x − 3 π +38 π +12
y = 1 π +12
315 .
y =0 317 . a. y =− x +2 b. (3, −1) 319 . a. ⎛ ⎝ ± 7, 0 ⎞
⎠ b. −2 c. They are parallel since the slope is the same at both intercepts.
321 . y =− x +1 323 . a. −0.5926 b. When $81 is spent on labor and $16 is spent on capital, the amount spent on capital is decreasing by $0.5926 per $1 spent on labor. 325 . −8 327 . −2.67 329 . y ′ = − 1 1− x 2 331 . 2 xe x + x 2 e x 333 . e x 3 ln x ⎛ ⎝ 3 x 2 ln x + x 2 ⎞ ⎠
335 . 4 ( e x + e − x ) 2 337 . 2 4 x +2 · ln2+8 x 339 . πx π −1 · π x + x π · π x ln π 341 . 5 2(5 x −7) 343 . tan x ln10 345 . 2 x · ln2· log 3 7 x 2 −4
+2 x · 2 x ln7 ln3
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