Factor the expression completely, if possible.a3 - 6a2b + 9ab2

A. a(a + 3b)2
B. ab(a - 3)2
C. a(a - 3b)2
D. Does not factor


Answer: C

Mathematics

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Solve the problem.Find the equation of the normal to the parabola x2 = -2y at the point (-8, -32).

A. y = - x - 33
B. y = 8x + 32
C. y = - x - 17
D. y = - x - 33

Mathematics

Find the first four nonzero terms in the Maclaurin series for the function.f(x) = e2x

A. x + 2x +  +  + . . .
B. 1 + 2x +  +  + . . .
C. 1 + 2x +  +  + . . .
D. 2x + 8x3 + 32x5 + 128x7 + . . .

Mathematics

Provide an appropriate response.It can be shown that  = 0 for c > 0. Find the smallest value of N such that  for all  if  and 

A. 31 B. 28 C. 35 D. 25

Mathematics

Find the Social Security tax and Medicare tax on the annual gross income of a self-employed individual. For a self-employed person, the FICA rate is 12.4% and the Medicare rate is 2.9%. Round to the nearest cent if needed.Drew Laughlin, attorney, earned $53,081.59

A. $6,482.12, $1,439.37 B. $3,291.06, $769.68 C. $6,582.12, $1,539.37 D. $3,291.06, $1,539.37

Mathematics