Find the points of inflection.f(x) = x4 - x3 + 9

A. (0, 0), (2, 5)
B. (0, 0), (2, -4)
C. (0, 9), (2, 5)
D. (0, 0)


Answer: C

Mathematics

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A. Converges B. Diverges

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Give the equation of the horizontal asymptote, if any, of the function. f(x) = 

A. y = 0 B. no horizontal asymptotes C. x = 0, x = -49 D. y = 1

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Which scenario(s) below should be counted using permutations? I. the number of ways the gold, silver, and bronze medal winners can be chosen in an Olympic track-and-field event (assume that there are no ties) II. the number of ways 3 people can be chosen to sit from among 8 people III. the number of ways to choose 5 lottery numbers IV. the number of ways to roll a total of 7 when rolling a pair of dice V. the permutation may not be used in any scenarios

A. ?II only B. ?I only C. ?V only D. ?IV only E. ?III only

Mathematics