Question

According to the results* of Tucker and Schmidt-Koenig, the energy expended by a certain species of parakeet is given by

E(v)=1v[0.074(v35)2+22]E(v)=\frac{1}{v}\left[0.074(v-35)^2+22\right]

where vv is the bird's velocity (in km/hr\mathrm{km} / \mathrm{hr} ).

a. What velocity minimizes energy expenditure?

b. Read an article on how mathematical methods can be used to study animal behavior, and write a paragraph on whether you think such methods are valid. You may wish to begin with the reference cited in this exercise.

Solution

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The energy expended by a parakeet as a function of its velocity (in km/h)\mathrm{km} / \mathrm{h}) is:

E(v)=1v[0.074(v35)2+22]E(v)=\frac{1}{v}\left[0.074(v-35)^{2}+22\right]

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