The population of salmon in a salmon farm grows and reduces as fish are born and sold. The population is given by P= 225 cos- 2nt + 750 where t is time in days. 9 What is the centre of the population? b What is the minimum number of salmon in the farm at any one time? What is the maximum population? d At what times is the population 700? At what rate is the population changing after: i 3 days? At what times is the population growing at the rate of 25 fish per day? e ii a week? iii 10 days? iv 18 days?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The population of salmon in a salmon farm grows and reduces as fish are born and sold.
2nt
+ 750 where t is time in days.
9.
The population is given by P= 225 cos
a
What is the centre of the population?
b
What is the minimum number of salmon in the farm at any one time?
What is the maximum population?
d
At what times is the population 700?
At what rate is the population changing after:
i 3 days?
At what times is the population growing at the rate of 25 fish per day?
e
ii a week?
iii 10 days?
iv 18 days?
Transcribed Image Text:The population of salmon in a salmon farm grows and reduces as fish are born and sold. 2nt + 750 where t is time in days. 9. The population is given by P= 225 cos a What is the centre of the population? b What is the minimum number of salmon in the farm at any one time? What is the maximum population? d At what times is the population 700? At what rate is the population changing after: i 3 days? At what times is the population growing at the rate of 25 fish per day? e ii a week? iii 10 days? iv 18 days?
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