Use logarithmic differentiation to find the derivative of y with respect to the independent variable.y = 8xx2

A. 8xx2(2x ln 8x )
B. 8xx2(2x ln 8x +x)
C. x2 ln 8x
D. 2x ln 8x +x


Answer: B

Mathematics

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Convert the Hindu-Arabic numeral to Roman form.3,234,507

A. LVII
B. DXVII
C. DVII
D. DVII

Mathematics

Evaluate the expression  for the given values of the variables.x = 0.83, y =  5

A. 0.66 B. 1.66 C. 0.066 D. 0.166

Mathematics

Solve.Assume that in 1985, the annual consumption of pork was about 55 lb per person and that in 1997, it was about 31 lb per person. In addition, assume that consumption is decreasing according to the exponential decay model. Find the value k, and write an exponential function that describes pork consumption after time t, in years. (Round decimals to three places.)

A. k = -0.048; C(t) = 55e-0.048t, where t is the number of years since 1997. B. k = 0.286; C(t) = 55e0.286t, where t is the number of years since 1985. C. k = 0.048; C(t) = e-0.048t, where t is the number of years since 1985. D. k = 0.048; C(t) = 55e-0.048t, where t is the number of years since 1985.

Mathematics

Find the foci of the hyperbola.y2 -  = 1

A. (0, ) and (0, -)
B. (, 0) and (-, 0)
C. (, 0) and (-, 0)
D. (0, ) and (0, -)

Mathematics