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 below by a Morse potential. The fish will attract or repel each other until they reach a distance that minimizes the function V(r). The coefficients A and a are positive numbers. Complete parts (a) through (c). V(r) = e -Ae - ar r>0 (a) Assume initially that a = = and A = 1, what is the behavior of V(r) as r→0? As r+0, V(r)→

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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 below by a Morse
potential. The fish will attract or repel each other until they reach a distance that minimizes the function V(r). The coefficients A and a are positive numbers. Complete
parts (a) through (c).
V(r) = e -Ae - ar r>0
(a) Assume initially that a = = and A = 1, what is the behavior of V(r) as r→0?
As r+0, V(r)→
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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 below by a Morse potential. The fish will attract or repel each other until they reach a distance that minimizes the function V(r). The coefficients A and a are positive numbers. Complete parts (a) through (c). V(r) = e -Ae - ar r>0 (a) Assume initially that a = = and A = 1, what is the behavior of V(r) as r→0? As r+0, V(r)→

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