Use the Leading Coefficient Test to determine the end behavior of the polynomial function.f(x) = -x2(x - 3)(x + 2)
A. y ? ? as x ? -? and y ? -? as x ? ?
B. y ? -? as x ? -? and y ? ? as x ? ?
C. y ? ? as x ? -? and y ? ? as x ? ?
D. y ? -? as x ? -? and y ? -? as x ? ?
Answer: D
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Express the limit as a definite integral.?xk, where P is a partition of [0, 4?]
A. dx
B. dx
C. dx
D. dx
Find the center of mass of a thin plate covering the given region with the given density function.The region bounded by the curves y = ± and the lines x = 1 and x = 9, with density ?(x) =
A. = 2,
= 0
B. = 5,
= 0
C. = 4,
= 0
D. = 3,
= 0
Find the domain and sketch the graph of the function. What is its range?
Factor the expression completely, if possible.125a3 - 8b6
A. (5a + 2b2)(25a2 - 10ab2 + 4b4) B. (5a - 2b2)(25a2 + 10ab2 + 4b4) C. (5a - 2b2)(25a2 - 10ab2 + 4b4) D. (5a - 2b)(25a2 + 10ab + 4b2)