In environmental engineering (a specialty area in civil engineering), the following equation can be used to compute the oxygen level c ( mg / L ) in a river downstream from a sewage discharge: c = 10 − 20 ( e − 0.2 x − e − 0.75 x ) where x is the distance downstream in kilometers. (a) Determine the distance downstream where the oxygen level first falls to a reading of 5 mg/L. (Hint: It is within 2 km of the discharge.) Determine your answer to a 1% error. Note that levels of oxygen below 5 mg/L are generally harmful to game-fish such as trout and salmon. ( b) Determine the distance downstream at which the oxygen is at a minimum. What is the concentration at that location?
In environmental engineering (a specialty area in civil engineering), the following equation can be used to compute the oxygen level c ( mg / L ) in a river downstream from a sewage discharge: c = 10 − 20 ( e − 0.2 x − e − 0.75 x ) where x is the distance downstream in kilometers. (a) Determine the distance downstream where the oxygen level first falls to a reading of 5 mg/L. (Hint: It is within 2 km of the discharge.) Determine your answer to a 1% error. Note that levels of oxygen below 5 mg/L are generally harmful to game-fish such as trout and salmon. ( b) Determine the distance downstream at which the oxygen is at a minimum. What is the concentration at that location?
In environmental engineering (a specialty area in civil engineering), the following equation can be used to compute the oxygen level c
(
mg
/
L
)
in a river downstream from a sewage discharge:
c
=
10
−
20
(
e
−
0.2
x
−
e
−
0.75
x
)
wherex is the distance downstream in kilometers.
(a) Determine the distance downstream where the oxygen level first falls to a reading of 5 mg/L. (Hint: It is within 2 km of the discharge.) Determine your answer to a 1% error. Note that levels of oxygen below 5 mg/L are generally harmful to game-fish such as trout and salmon.
(b) Determine the distance downstream at which the oxygen is at a minimum. What is the concentration at that location?
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