an unattractive green. With your filter pump running at 200 gal/min to clear the dye, the function q(t) = 7000 e gives the amount of dye (in grams) in the pool at any time t (in minutes). You have invited several dozen friends to a pool party that is scheduled to begin in 6 hours. You have determined that the effect of the dye is imperceptible if its concentration is less than 0.017 g/gal. (c) Is your filtering system capable of reducing the dye concentration to this level within 6 hours? The filtering system [Choose one ▾ capable of reducing the dye concentration to this level in the given amount of time.
an unattractive green. With your filter pump running at 200 gal/min to clear the dye, the function q(t) = 7000 e gives the amount of dye (in grams) in the pool at any time t (in minutes). You have invited several dozen friends to a pool party that is scheduled to begin in 6 hours. You have determined that the effect of the dye is imperceptible if its concentration is less than 0.017 g/gal. (c) Is your filtering system capable of reducing the dye concentration to this level within 6 hours? The filtering system [Choose one ▾ capable of reducing the dye concentration to this level in the given amount of time.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Pls answer C, D and E box the final answer
Transcribed Image Text:Your swimming pool containing 80000 gal of water has been
contaminated by 7 kg of a nontoxic dye that leaves a swimmer's skin
an unattractive green. With your filter pump running at 200 gal/min to
clear the dye, the function q(t) = 7000 e gives the amount of dye
(in grams) in the pool at any time t (in minutes).
You have invited several dozen friends to a pool party that is scheduled
to begin in 6 hours. You have determined that the effect of the dye is
imperceptible if its concentration is less than 0.017 g/gal.
(c) Is your filtering system capable of reducing the dye
concentration to this level within 6 hours?
The filtering system [Choose one ▾
capable of reducing the
dye concentration to this level in the given amount of time.
Transcribed Image Text:(d) Find the time T at which the concentration of the dye first reaches
the value of 0.017 g/gal.
NOTE: Round your answer to two decimal places.
T =
hours
(e) Find the flow rate r that is sufficient to achieve the concentration
0.017 g/gal within 4 hours.
NOTE: Round your answer to the nearest integer.
r
gallons
min
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