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Answer:
The percent increase of the second year is 400%.
Step-by-step explanation:
Consider the provided information.
Let the population of birds was x.
After 2 years the population becomes 7 times more than before.
Therefore, after 2 years population is 7x.
In first year increase in the population was 40%.
Population after 1st year = x + 40% of x
Population after 1st year = x + 0.40x
Population after 1st year = 1.4x
The population increase from 1st year to 2nd year is: 7x-1.4x=5.6x
Thus the percentage increase is:
Hence, in second year the population of birds increase by 400%.
Differentiating once, we have
Differentiating again,
as needed.
Differentiating again,
as needed.