Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.(log4 x + log4 y) - 2 log4 (x + 3)

A. log4 
B. log4 
C. log4 
D. log4 


Answer: B

Mathematics

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Find the length of the curve.The spiral r = 8?, 0 ? ? ? ?

A.
B. 4(? + ln (? + ))
C. 8
D. ((?2 + 1)3/2 - 4)

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Find the amplitude, period or phase shift.Find the phase shift of y = -4 - 3sin.

A.  to the right
B.  to the left
C.  to the right
D.  to the left

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Graph the parabola.y = x2 + 2x - 5

A.

B.

C.

D.

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Find the partial derivative of the dependent variable or function with respect to each of the independent variables.f(x, y) = sin2 (4xy2 - y)

A.  = 8y2sin (4xy2 - y) cos (4xy2 - y);  = 2sin (4xy2 - y) cos (4xy2 - y)
B.  = 8y2sin (4xy2 - y) cos (4xy2 - y);  = (16xy - 2) sin (4xy2 - y) cos (4xy2 - y)
C.  = 2sin (4xy2 - y) cos (4xy2 - y);  = 2sin(4xy2 - y) cos(4xy2 - y)
D.  = 2sin (4xy2 - y) cos (4xy2 - y);  = (16x - 2) sin (4xy2 - y) cos (4xy2 - y)

Mathematics