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 a What is the centre of the population? 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? e At what rate is the population changing after: i 3 days? ii a week? iii 10 days? iv 18 days?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Part c,d,e only

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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