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Unformatted text preview: 15 6 6. (10 pts.) A population of sharks and a population bait Fsh share a common habitat. The number of sharks as a function of time is S and the number of bait Fsh as a function of time if B . Observations indicate that the quantity 900( S40) 2 + ( B1000) 2 is always constant. Suppose that at some point in time there are 500 bait Fsh and 20 sharks, and that at this time the shark population is increasing at a rate of 10 sharks per year. What is the rate of change of the bait Fsh 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.) ±ind 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
 STAFF
 Calculus, Derivative, pts, bait ﬁsh share, bait ﬁsh population

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