One model that is used for the interactions between animals, including fish in a school, is that the fish have an energy of interaction that is given by a Morse potential: V(r)=e^(-r)-Ae^(-ar) r > 0. The fish will attract or repel each other until they reach a distance that minimized the function V(r). The coefficients A and a are positive number. 1) Assume initially that a = 1/2 and A = 1, what is the behavior of V(r) as r → 0? What is the behavior of V(r) as r → ∞?
One model that is used for the interactions between animals, including fish in a school, is that the fish have an energy of interaction that is given by a Morse potential: V(r)=e^(-r)-Ae^(-ar) r > 0. The fish will attract or repel each other until they reach a distance that minimized the function V(r). The coefficients A and a are positive number. 1) Assume initially that a = 1/2 and A = 1, what is the behavior of V(r) as r → 0? What is the behavior of V(r) as r → ∞?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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One model that is used for the interactions between animals, including fish in a school, is that the fish have an energy of interaction that is given by a Morse potential: V(r)=e^(-r)-Ae^(-ar) r > 0. The fish will attract or repel each other until they reach a distance that minimized the function V(r). The coefficients A and a are positive number.
1) Assume initially that a = 1/2 and A = 1, what is the behavior of V(r) as r → 0? What is the behavior of V(r) as r → ∞?
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