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

Mathematics

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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

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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

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Find the domain and sketch the graph of the function. What is its range?

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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)

Mathematics