A graphing calculator is recommended.A fish swims at a speed v relative to the water, against a current of 3 mi/h. Using a mathematical model of energy expenditure, it can be shown that the total energy E required to swim a distance of 6 mi is given byE(v) = 2.73v3 6Biologists 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.[Note: This result has been verified; migrating fish swim against a current at a speed 50% greater than the speed of the current.]V =

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A graphing calculator is recommended. A fish swims at a speed v relative to the water, against a current of 3 mi/h. Using a mathematical model of energy expenditure, it can be shown that the total energy E required to swim a distance of 6 mi is given by E(v) = 2.73v³ v 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. [Note: This result has been verified; migrating fish swim against a current at a speed 50% greater than the speed of the current.] V=