prettygirlgwen24

31.01.2020 • 

Mathematics

The rabbit population on a small island is observed to be given by the function
p(t) = 130t − 0.4t4 + 1200
where t is the time (in months) since observations of the island began.
(a) when is the maximum population attained (round your answer to one decimal place.)

what is the maximum population? (round your answer to the nearest whole number.)

(b) when does the rabbit population disappear from the island? (round your answer to one decimal place.)

Ответ:

lin550

17.01.2022

Mathematics

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A.) P(t) = 130t - 0.4t^4 + 1200
The population is maximum when P'(t) = 0
P'(t) = 130 - 1.6t^3 = 0
1.6t^3 = 130
t^3 = 81.25
t = ∛81.25 = 4.3 months.

Maximum population P(t)max = 130(4.3) - 0.4(4.3)^4 + 1200 = 1,622

b.) The rabbit population will disappear when P(t) = 0
P(t) = 130t - 0.4t^4 + 1200 = 0
 t ≈ 8.7 months

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Ответ:

issaicnotisaac

03.03.2022

Mathematics

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Hey there!

We can write an equation:

x+x+1+x+2=7

3x+3=7

3x+4

x=4/3

The lines are 4/3, 7/3, and 10/3.

Let me know if this helps :)

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