824
Answer Key
307 . The degree of Q ( x ) must be greater than the degree of P ( x ) . 309 . lim x →1 − f ( x ) = -∞ and lim x →1 − g ( x ) =∞ 311 . The critical points can be the minima, maxima, or neither. 313 . False; y =− x 2 has a minimum only 315 . h = 62 3 in. 317 . 1 319 . 100ft by100ft 321 . 40ft by40ft
323 . 19.73ft. 325 . 84bpm 327 . T ( θ ) = 40 θ
θ
3 v + 40cos v
329 . v = b a 331 . approximately 34.02mph
333 . 4 335 . 0 337 .Maximal: x =5, y =5; minimal: x =0, y =10 and y =0, x =10 339 .Maximal: x =1, y =9; minimal: none 341 . 4 π 3 3 343 . 6 345 . r =2, h =4 347 . (2, 1)
349 . (0.8351, 0.6974) 351 . A =20 r −2 r 2 − 1 2 353 . C ( x ) =5 x 2 + 32
πr 2
x Differentiating, setting the derivative equal to zero and solving, we obtain x = 2 5 3
and h = 25 4 3 .
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