Answer Key
825
355 . P ( x ) = (50− x )(800+25 x −50) 357 . ∞ 359 . 1 2 a 361 . 1 na n −1 363 . Cannot apply directly; use logarithms 365 . Cannot apply directly; rewrite as lim x →0 x 3 367 . 6
369 . −2 371 . −1 373 . n 375 . − 1 2 377 . 1 2
379 . 1 381 . 1 6 383 . 1 385 . 0 387 . 0
389 . −1 391 . ∞ 393 . 0 395 . 1 e
397 . 0 399 . 1 401 . 0 403 . tan(1) 405 . 2 407 . F ( x n ) = x n −
3 +2 x
x n
n +1
2 +2
3 x n
409 . F ( x n ) = x n − e xn e xn 411 . | c | >0.5 fails, | c | ≤0.5 works 413 . c = 1 f ′( x n ) 415 . a. x 1 = 12 25 , x 2 = 312 625
; b. x 1 =−4, x 2 =−40 417 . a. x 1 =1.291, x 2 =0.8801; b. x 1 =0.7071, x 2 =1.189 419 . a. x 1 = − 26 25 , x 2 = − 1224 625 ; b. x 1 =4, x 2 =18 421 . a. x 1 = 6 10 , x 2 = 6 10 ; b. x 1 =2, x 2 =2 423 . 3.1623 or − 3.1623 425 . 0, −1or1 427 . 0 429 . 0.5188 or − 1.2906 431 . 0 433 . 4.493
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