Friday

August 22, 2014

August 22, 2014

Posted by **sam** on Monday, May 19, 2008 at 3:00am.

b) a recovery device arrives on the scene and begins removing oil. The rate at which oil is removed is R(t)=400 times square root of t cubics per min, where t is the time in min since the device began working.oil continues to leak at the rate of 2000 cubic cm per min. Find t when oil slick reaches its max volume.

c) By the time the recovery device began removing oil 60000 cubic cm of oil had already leaked. write but not evauate and expression involving an integral that gives the volume of oil at the time found in part (b)

help please start them

- calc -
**Damon**, Monday, May 19, 2008 at 1:24pmV = pi r^2 h

dV/dt = 2000 - 400 t^.5

b) when is dV/dt = 0?

400 t^.5 = 2000

sqrt t = 5

t = 25 min

c) V at t=0 = 60,000

dV/dt = 2000 -400 t^.5

V = 60,000 + integral from t = 0 to t = 25 of (2000 - 400 t^.5) dt

**Related Questions**

calculus - oil is leaking from a pipeline on the surface of a lake and forms an ...

Calculus - An ocean oil well is leaking oil into the ocean at a rate of 1 m3/hr ...

Calculus - An ocean oil well is leaking oil into the ocean at a rate of 1 m3/hr ...

Calculus - An ocean oil well is leaking oil into the ocean at a rate of 1 m3/hr ...

MATH-CALC - 3.A ruptured oil tanker causes a circular oil slick on the surface ...

Calc - We assume that an oil spill is being cleaned up by deploying bacteria ...

CALC - The radius in meters of a circular oil slick increases at a rate of (12...

4 CALCULUS study problem - 1. How fast does the radius of a spherical soap ...

physics - one liter (1000cm3) of oil is spiled onto a smooth lake. if the oil ...

CALCULUS - A ruptured oil tanker causes a circular oil slick on the surface of ...