[Solution Library] The population of a herd of deer is modeled by P(t)=1000+360 sin ((π)/(6) t)+180 sin ((π)/(3) t) where t is measured in months,
Question: The population of a herd of deer is modeled by
\[P(t)=1000+360 \sin \left(\frac{\pi}{6} t\right)+180 \sin \left(\frac{\pi}{3} t\right)\]where \(t\) is measured in months, beginning from April 1. Answer the following questions. You must show all work.
- When is the herd largest? How many deer are in it at that time? (Hint: Use the double-angle formula)
- When is the herd smallest? HOW many deer are in it at that time?
- Find the period of P (t):
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