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Find the largest population growth from this following problem?
An observation to the species population from January 2008 to January 2009 gives a following data:
Jan 2008: 3000
April 2008: 1900
July 2008: 1000
Oct 2008: 2050
Jan 2009: 3000
Given: 3000 is maximum and 1000 is minimum.
The observer is predicting that this periodic function at any value of t:
P(t)= 2000+ 1000*cos(2pi*t), 0≤ t ≤1.
For this function, t=0 is the beginning of January 2008, and t=1 is the beginning of January 2009, with the increase rate at every month is 1/12.
What is the largest population growth from this problem?
