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1. P=100+20t+2t^2-t^3 where t is measured in yearsr, and t=0 in the year 2000. find the year in which the bird population is expected to reach its maximum.

Thank you
2. (Original post by CTinTin14)
P=100+20t+2t^2-t^3 where t is measured in yearsr, and t=0 in the year 2000. find the year in which the bird population is expected to reach its maximum.

Thank you
dP/dt = 20 + 4t - 3t^2 = 0

--> (3t-10)(t+2) = 0
--> t = 10/3 (disregard t = -2, as it is meaningless in this context)
--> The answer is therefore the floor function of (2000 + (10/3)) = 2003
[I presume that t is measured in years from the context. Edit: Yep, it's measured in years.]

--> The bird population is expected to reach its maximum in the year
2003.
3. Incorrect
(Original post by SH0405)
dP/dt = 20 + 4t - 3t^2 = 0

--> (3t-10)(t+2) = 0
--> t = 10/3 (disregard t = -2, as it is meaningless in this context)
--> The answer is therefore the floor function of (2000 + (10/3)) = 2003
[I presume that t is measured in years from the context]

--> The bird population is expected to reach its maximum in the year
2003.
4. (Original post by schindlers list)
Incorrect

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