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Unformatted text preview: P ( h ), which is the product of the harvesting eﬀort, h and the population size at the equilibrium point, N * (c) Find the harvesting eﬀort that maximizes harvest (d) Find the maximum harvest (e) Find the conditions for stability of the equilibria (f) Show that the (nonzero) equilibrium N * is stable when h is set to the value that maximizes the longterm harvest 1 Problem 3. [ 6 points ] Consider the following function: F ( x ) = x 2 + 2 x3 x 2 . (a) Find the domain of deﬁnition of F (b) Find the critical points of F (c) Find the inﬂexion points of F (d) Find the horizontal asymptotes, if any (e) Find the vertical asymptotes, if any (f) Draw a graph of the function 2...
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This note was uploaded on 12/19/2011 for the course MAT 1330 taught by Professor Dumitriscu during the Fall '08 term at University of Ottawa.
 Fall '08
 DUMITRISCU
 Calculus

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