anonymous
  • anonymous
I need help on understanding what the question is asking. A fish swims at a speed v relative to the water, against a current of 9 mi/h. Using a mathematical model of energy expenditure, it can be shown that the total energy E required to swim a distance of 18 mi is given by E(v) = 2.73v^3(18/v āˆ’ 9) . Biologists believe that migrating fish try to minimize the total energy required to swim a fixed distance. Find the value of v that minimizes energy required.
Algebra
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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jim_thompson5910
  • jim_thompson5910
You'll need to find the derivative E ' (v) first
jim_thompson5910
  • jim_thompson5910
were you able to find it? or no?
anonymous
  • anonymous
yes it is (98.28v^3āˆ’1326.78v^2)/(vāˆ’9)^2

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jim_thompson5910
  • jim_thompson5910
I'm guessing the original function is this?\[\Large E(v) = 2.73v^3\left(\frac{18}{v-9}\right)\]I forgot to ask If it is, then you have the correct derivative
anonymous
  • anonymous
Yes thank you I solved for v and received the right answer
jim_thompson5910
  • jim_thompson5910
you should get v = 13.5
Jaynator495
  • Jaynator495
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