! Required information The growth of populations of organisms has many engineering and scientific applications. One of the simplest models assumes that the rate of change of the population p is proportional to the existing population at any time t dt = kgP where kg = the growth rate. Given, the step size = 5 years. The world population, in millions, from 1950 to 2000 is given below: t (yr) 1950 1955 1960 1965 1970 1975 1980 1985 1990 1995 2000 P 2555 2780 3040 3346 3708 4087 4454 4850 5276 5686 6079 Assuming the given equation holds, use the data from 1950 through 1970 to estimate kg. (Round the final answer to four decimal places.) The estimate of the population growth rate is kg- = /yr.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
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Author:Kreith, Frank; Manglik, Raj M.
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Chapter5: Analysis Of Convection Heat Transfer
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Required information
The growth of populations of organisms has many engineering and scientific applications. One of the simplest models
assumes that the rate of change of the population p is proportional to the existing population at any time t
dt
=
kgP
where kg = the growth rate. Given, the step size = 5 years. The world population, in millions, from 1950 to 2000 is given
below:
t (yr) 1950 1955 1960 1965 1970 1975 1980 1985 1990 1995 2000
P 2555 2780 3040 3346 3708 4087 4454 4850 5276 5686 6079
Assuming the given equation holds, use the data from 1950 through 1970 to estimate kg. (Round the final answer to four decimal
places.)
The estimate of the population growth rate is kg-
=
/yr.
Transcribed Image Text:! Required information The growth of populations of organisms has many engineering and scientific applications. One of the simplest models assumes that the rate of change of the population p is proportional to the existing population at any time t dt = kgP where kg = the growth rate. Given, the step size = 5 years. The world population, in millions, from 1950 to 2000 is given below: t (yr) 1950 1955 1960 1965 1970 1975 1980 1985 1990 1995 2000 P 2555 2780 3040 3346 3708 4087 4454 4850 5276 5686 6079 Assuming the given equation holds, use the data from 1950 through 1970 to estimate kg. (Round the final answer to four decimal places.) The estimate of the population growth rate is kg- = /yr.
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