Solve the initial value problem. =   , y(-6) = 6

A. y = -  + 7
B. y = -  + 6
C. y = ln(x + 7) + 6 - ln 2
D. y = ln(x + 7) + 6


Answer: D

Mathematics

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Solve.Assume that in 1985, the annual consumption of pork was about 55 lb per person and that in 1997, it was about 36 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 = 0.299; C(t) = 55e0.299t, where t is the number of years since 1985. B. k = 0.035; C(t) = e-0.035t, where t is the number of years since 1985. C. k = -0.035; C(t) = 55e-0.035t, where t is the number of years since 1997. D. k = 0.035; C(t) = 55e-0.035t, where t is the number of years since 1985.

Mathematics

Find the range for the set of data given.

A. 5.2 B. 1.1 C. 1.2 D. 5.7

Mathematics

Evaluate the work done between point 1 and point 2 for the conservative field F.F = 9 sin 9x cos 6y cos 8zi + 6 cos 9x sin 6y cos 8zj + 8 cos 9x cos 6y sin 8zk ; P1(0, 0, 0) , P2

A. W = 0 B. W = -2 C. W = 1 D. W = 2

Mathematics

Solve the differential equation subject to the initial conditions.x2 - 3xy = x5 sec x tan x; x > 0; x = ? when y = 0

A. y = -  - x2 , x > 0
B. y =  + x2 , x > 0
C. y =  + x3 , x > 0
D. y = -  - x3 , x > 0

Mathematics