Graph of swimming fish energy

Reference no: EM13123658

"For a fish swimming at a speed v relative to the water, the energy expenditure per unit time is proportional to v^3. It is believed that migrating fish try to minimize the total energy required to swim a fixed distance. If the fish are swimming against a current u(u less than v), then the time required to swim a distance L is L/(v-u) and the total energy E required to swim the distance is given by

E(v)=av^3(L/[v-u])

where a is the proportionality constant.

(a) Determine the value of v that minimizes E.

(b) Sketch the graph of E.

Author's Note: This result has been verified experimentally; migrating fish swim against a current at a speed of 50% greater than the current speed."

Reference no: EM13123658

Questions Cloud

Compute the unit product cost for one gamelan : Selected data for the company's operations last year follow (all currency values are in thousands of rupiahs):Assume that the company uses absorption costing. Compute the unit product cost for 1 gamelan.

Prepare the property, plant : Lowell Company's December 31, 2012, trial balance includes the following accounts: Inventories $120,000; Buildings $207,000; Accumulated Depreciation-Equipment $19,000; Equipment $190,000; Land Held for Investment $46,000; Accumulated Depreciation..

Determining nonzero function : Show that the following family is not complete by finding at least one nonzero function u(x) such that E[u(X)]=0, for all theta >0.

Standard direct material cost for cloth : The cost of the cloth is $3 per yard. The standard direct material cost for cloth per unit of finished product is:

Graph of swimming fish energy : For a fish swimming at a speed v relative to the water, the energy expenditure per unit time is proportional to v^3. It is believed that migrating fish try to minimize the total energy required to swim a fixed distance.

Find sample mean that will cut off upper from population : A sample of 20 cables is selected and tested. Find the sample mean that will cut off the upper 95% of all samples of size 20 taken from the population.

What income does alan recognize from the distribution : Caravan Corporation has always been an S corporation. Caravan Corporation is 100% owned by Alan Merten. On January 1, Alan has an adjusted basis of $50,000 in his Caravan stock.

Company direct material price variance : Information on Fleming Company's direct material costs follows: What was the company's direct material price variance?

Calculate the gross lease payment receivable to be recorded : Lampley, Inc. enters into a direct finance lease agreement as lessor on January 1, 2001, to lease an airplane to National Airlines. The term of the noncancelable lease is eight years and payments are required at the end of each year.

User Account

All Pages