|Jan19-12, 03:55 PM||#1|
The energy required by a fish swimming at speed v to travel a distance
The energy required by a fish swimming at speed v to travel a distance L>0 in a current of speed u>0 is given by
E(v) = aL((v^3)/(v-u)), v>u
where a>0 is a proportionality constant.
a) Find the speed of the fish which results in minimal energy expenditure.
b) Give a qualitative sketch of the energy as a function of the speed of the fish.
I know that I am supposed to isolate v from the equation by using another equation in order to differentiate it, but I don't know how to. As well as a is a constant, and all values are positive. Also when I am drawing the sketch will the value a still be included? How do I include this in a graph?
1. The problem statement, all variables and given/known data
2. Relevant equations
3. The attempt at a solution
|Jan19-12, 06:34 PM||#2|
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