Oil is leaking from an uncapped well and polluting a lake. Ten days after the leak is discovered, environmental engineers measure the amount of oil in the water to be 200 gallons with a current inflow rate of 30 gallons per day. The leak is slowing so that on the tenth day, the inflow rate is decreasing by 5 gallons/day each day. Suppose A(t) is the amount of oil (in gallons) tdays after the leak is discovered. (a) Find the quadratic approximation for A(t) centered at t= 10. (b) Use your answer in the previous part to estimate the amount of oil in the lake at t= 12.
Oil is leaking from an uncapped well and polluting a lake. Ten days after the leak is discovered, environmental engineers measure the amount of oil in the water to be 200 gallons with a current inflow rate of 30 gallons per day. The leak is slowing so that on the tenth day, the inflow rate is decreasing by 5 gallons/day each day. Suppose A(t) is the amount of oil (in gallons) tdays after the leak is discovered. (a) Find the quadratic approximation for A(t) centered at t= 10. (b) Use your answer in the previous part to estimate the amount of oil in the lake at t= 12.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Oil is leaking from an uncapped well and polluting a lake. Ten days after the leak is discovered,
environmental engineers measure the amount of oil in the water to be 200 gallons with a current inflow
rate of 30 gallons per day. The leak is slowing so that on the tenth day, the inflow rate is decreasing
by 5 gallons/day each day. Suppose A(t) is the amount of oil (in gallons) tdays after the leak is
discovered.
(a) Find the quadratic approximation for A(t) centered at t= 10.
(b) Use your answer in the previous part to estimate the amount of oil in the lake at t= 12.
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