Posted by **Leah** on Saturday, February 6, 2010 at 10:48pm.

Suppose a fish swimming a distance of L ft at a speed of v fit/sec relative to the water against a current flowing at the rate of u ft/sec (u<v) expends a total energy given by

E(v)= (aLv^3)/(v-u)

Where E is measured in foot-pounds and a is a constant.

a) Evaluate the limit of E(v) as v-->u+ and interpret your result

b) Evaluate the limit of E(v) as v-->infinity and interpret your result

- Calculus (for Business) -
**drwls**, Saturday, February 6, 2010 at 11:38pm
a) as v -> u the Energy required becomes infinite because the fish does not move and requires infinite time to go a distance L.

b) as v--> infinity, the energy required is proportional to v^2 (which is true for the fluid drag force), as the stream velocity becomes negligible compared to v.

Energy = force x distance.

- Calculus (for Business) -
**Leah**, Monday, February 8, 2010 at 12:30am
Could you please show me the math behind answer a? How did you calculate the limit to get infinity?

## Answer This Question

## Related Questions

- calculus - The voltage V (volts), current I (amperes), and resistence R (ohms) ...
- calculus - The Voltage v , Current I and Resistance R are related by the ...
- calculus - The Voltage v , Current I and Resistance R are related by the ...
- Calculus 1 Related Rates - Water is discharged from a pipeline at a velocity v(...
- physics - the water in a 0.5 km wide river is flowing at 5 m/sec from west to ...
- calculus - A 13 ft ladder is leaning against a house when its base begins to ...
- calculus - The length l of a rectangle is decrasing at a rate of 5 cm/sec while ...
- PHysics - An athlete crosses a 21 m wide river by swimming perpendicular to the ...
- Math - Starting from 130 feet away, a person on a bicycle rides towards a ...
- Math - Starting from 130 feet away, a person on a bicycle rides towards a ...

More Related Questions