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anonymous
 one year ago
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 − 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.
anonymous
 one year ago
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 − 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.

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jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2You'll need to find the derivative E ' (v) first

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2were you able to find it? or no?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes it is (98.28v^3−1326.78v^2)/(v−9)^2

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2I'm guessing the original function is this?\[\Large E(v) = 2.73v^3\left(\frac{18}{v9}\right)\]I forgot to ask If it is, then you have the correct derivative

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yes thank you I solved for v and received the right answer

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.2you should get v = 13.5

Jaynator495
 one year ago
Best ResponseYou've already chosen the best response.2Welcome To OpenStudy! Here you will find great helpers and friends, a community of students that help students! We hope you enjoy the experience!
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