Determine whether each of the following functions is smooth on the specified domain. (a) f1x2! x4 +

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Determine whether each of the following functions is smooth on the specified domain.

(a) f1x2! x4 + 3x - 19 for all x

(b) f1x2!min 52x - 1, 2 - x6 for all x

(c) f1x2!  x - 5  for x 7 0

(d) f1x2!3x + ln 1x2 for x 7 0

(e) f1x1, x22!x1ex2 for all x1, x2

(f) f1x1, x22! 0 x1 + 1 + 0 x2 - 3 for x1, x2 Ú 0.

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