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Unformatted text preview: . 2 ft/s, how fast is he walking? 15 6 6. (10 pts.) A population of rabbits and a population foxes share a common habitat. The number of foxes as a function of time is F and the number of rabbits as a function of time if R . Observations indicate that the quantity 900( F-20) 2 + ( R-400) 2 is always constant. Suppose that at some point in time there are 250 rabbits and 15 foxes, and that at this time the rabbit population is increasing at a rate of 60 rabbits per year. What is the rate of change of the fox population at this time? 7. The graphs of a function, f , and its derivative, f , are shown at right. Suppose that g ( x ) = x 2 f ( x ) (a) (5 pts.) Find g ( x ). (b) (5 pts.) Estimate g (2). (It is your job to deduce which graph is f and which is f .) (c) (5 pts.) Estimate g (2). 3...
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- Spring '08