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rate of increase = 6000 root(t) +14000
integrate wrt t we get
P = 6000* t^(1.5)/1.5 +14000 t +c
or we can write
P = 4000 t^1.5 +14000t +c
at t = 0 P = 27000 therefore c = 27000
now population after 9 years
P = 4000* (9)^1.5 +14000*9+27000 = 261000 Answer
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Jul 23rd, 2015
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