Register to reply 
The energy required by a fish swimming at speed v to travel a distance 
Share this thread: 
#1
Jan1912, 03:55 PM

P: 5

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)/(vu)), 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 


#2
Jan1912, 06:34 PM

HW Helper
P: 925




Register to reply 
Related Discussions  
Optimizing a DFT  Calculus & Beyond Homework  3  
Optimizing with derivatives... I think  Calculus & Beyond Homework  7  
Optimizing with Derivatives... I think  Precalculus Mathematics Homework  1  
Optimizing problem  Introductory Physics Homework  2  
Optimizing a trebuchet  General Physics  3 