Rewrite as a single logarithm. Assume all variables represent positive real numbers.4 log4(4x + 2) + 3 log4(5x + 3)

A. log4((4x + 2)4 + (5x + 3)3)
B. 12 log4(4x + 2)(5x + 3)
C. log4((4x + 2)4(5x + 3)3)
D. log4

Answer: C

Mathematics

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Use Euler's method to calculate the first three approximations to the given initial value problem for the specified increment size. Round your results to four decimal places.y' = 1 + , y(1) = -1, dx = 0.5

A. y1 = -1.5000, y2 = -1.0000, y3 = -0.6500 B. y1 = -2.0000, y2 = -1.2500, y3 = -1.0833 C. y1 = -2.0000, y2 = -1.6667, y3 = -2.1667 D. y1 = -1.0000, y2 = -0.8333, y3 = -0.5417

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Find a1, r, an, n, or Sn for the geometric sequence, as instructed.a1 = 5, r = , n = 4; Find an.

A.
B.  
C.  
D.  

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Evaluate the surface integral of the function G over the surface S.G(x, y, z) = ; S is the surface of the parabolic cylinder 6y2 + 3z = 12 bounded by the planes  ,

A.
B. 2
C. 1
D. 3

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Mathematics

Find the equation of the parabola corresponding to the given information.The parabola has focus and directrix as shown.

A. y = x2
B. y = - x2
C. y = - x2
D. x = y2

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Mathematics