Find the GCF for the group of monomials.14m3 and 56m8

A. 56m3
B. 14m3
C. 784m5
D. 14m5

Answer: B

Mathematics

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Solve the problem.Use the binomial series and the fact that  tanh-1 x =   to generate the first four nonzero terms of the Taylor series for tanh-1 x. Use the first three terms of the series to estimate tanh-1 (0.5).

A. 1 + x2 - x4 + x6; 0.688
B. x -  +  - ; 0.535
C. x +  -  + ; 0.535
D. 1 - x2 + x4 - x6; 0.813

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Mathematics

Graph the pair of parametric equations in the rectangular coordinate system.x = 4 + 6 sin t, y = 4 + 6 cos t; 0 ? t ? 2? 

A.

B.

C.

D.

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Mathematics

Find the complete quotient when P(x) is divided by the binomial following it.P(x) = 3x5 + 4x4 + 2x2 - 1; x + 2

A. Q(x) = 3x4 - 2x3 + 4x2 + 6 +  
B. Q(x) = 3x4 + 2x3 + 4x2 + 8x +  
C. Q(x) = 3x4 - 2x3 + 4x2 - 6x + 12 +  
D. Q(x) = 3x4 - 2x3 + 6x2 - 12 + 

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Mathematics

Find the vertex, focus, and directrix of the parabola. Graph the equation.x2 - 12x = 8y - 76

A. vertex: (6, 5)
focus: (8, 5)
directrix: x = 4

B. vertex: (6, 5)
focus: (6, 3)
directrix: y = 7

C. vertex: (6, 5)
focus: (4, 5)
directrix: x = 8

D. vertex: (6, 5)
focus: (6, 7)
directrix: y = 3

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Mathematics