Determine the projected population 9 yr after construction has begun

Calculus
Tutor: None Selected Time limit: 1 Day

Jul 23rd, 2015

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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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