SOLUTION: A herd of 100 deer is introduced to a small island. The herd at first increases rapidly, but eventually the food resources of the island dwindle and the population declines. Suppos

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Question 293019: A herd of 100 deer is introduced to a small island. The herd at first increases rapidly, but eventually the food resources of the island dwindle and the population declines. Suppose that the number N(t) of deer after t years is given by +N%28t%29=-t%5E4%2B21t%5E2%2B100+. When does the population of deer become extinct on this island?


*note* we are working with max/min quadratic problems currently. I tried getting the factors of p and q and doing synthetic division. I'm just confusing myself more. I'm not sure where to start.


Thanks :)
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
You just need to find the zeros.
There are 4 zeros-two complex and two real rational. One of the real rational is positive.
t=4.98269 almost 5 years