Your swimming pool containing 80000 gal of water has been contaminated by 8 kg of a nontoxic dye that leaves a swimmer's skin an unattractive green. With your filter pump running at 250 gal/min to clear the dye, the function q(t)=6000et/320 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 0.02 g/gal. (c) Is your filtering system capable of reducing the dye concentration to this level within 6 hours? The filtering system (choose: is is not) capable of reducing the dye concentration to this level in the given amount of time. (d) Find the time T at which the concentration of the dye first reaches the value of 0.02 g/gal. Note: round your answer to two decimal places T = hours r (e) Find the flow rate that is sufficient to achieve the concentration 0.02 g/gal within 4 hours. Note: round your answer to the nearest integer. ______gallons/min r =
Your swimming pool containing 80000 gal of water has been contaminated by 8 kg of a nontoxic dye that leaves a swimmer's skin an unattractive green. With your filter pump running at 250 gal/min to clear the dye, the function q(t)=6000et/320 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 0.02 g/gal. (c) Is your filtering system capable of reducing the dye concentration to this level within 6 hours? The filtering system (choose: is is not) capable of reducing the dye concentration to this level in the given amount of time. (d) Find the time T at which the concentration of the dye first reaches the value of 0.02 g/gal. Note: round your answer to two decimal places T = hours r (e) Find the flow rate that is sufficient to achieve the concentration 0.02 g/gal within 4 hours. Note: round your answer to the nearest integer. ______gallons/min r =
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 box your final answer
![Your swimming pool containing 80000 gal of water has been
contaminated by 8 kg of a nontoxic dye that leaves a swimmer's
skin an unattractive green. With your filter pump running at 250
gal/min to clear the dye, the function q(t)=6000et/320 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
0.02 g/gal.
(c) Is your filtering system capable of reducing the dye
concentration to this level within 6 hours?
The filtering system (choose: is is not) capable of
reducing the dye concentration to this level in the given amount
of time.
(d) Find the time T at which the concentration of the dye first
reaches the value of 0.02 g/gal.
Note: round your answer to two decimal places
T =
hours
r
(e) Find the flow rate that is sufficient to achieve the
concentration 0.02 g/gal within 4 hours.
Note: round your answer to the nearest integer.
______gallons/min
r =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc7ec7c05-a97b-47bb-95f0-4f627fc9dbce%2F2f5feebc-ef23-4b6f-8641-8ff5d3d8c722%2F2i5hgx4_processed.png&w=3840&q=75)
Transcribed Image Text:Your swimming pool containing 80000 gal of water has been
contaminated by 8 kg of a nontoxic dye that leaves a swimmer's
skin an unattractive green. With your filter pump running at 250
gal/min to clear the dye, the function q(t)=6000et/320 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
0.02 g/gal.
(c) Is your filtering system capable of reducing the dye
concentration to this level within 6 hours?
The filtering system (choose: is is not) capable of
reducing the dye concentration to this level in the given amount
of time.
(d) Find the time T at which the concentration of the dye first
reaches the value of 0.02 g/gal.
Note: round your answer to two decimal places
T =
hours
r
(e) Find the flow rate that is sufficient to achieve the
concentration 0.02 g/gal within 4 hours.
Note: round your answer to the nearest integer.
______gallons/min
r =
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
![Introductory Mathematics for Engineering Applicat…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
![Introductory Mathematics for Engineering Applicat…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
![Mathematics For Machine Technology](https://www.bartleby.com/isbn_cover_images/9781337798310/9781337798310_smallCoverImage.jpg)
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
![Basic Technical Mathematics](https://www.bartleby.com/isbn_cover_images/9780134437705/9780134437705_smallCoverImage.gif)
![Topology](https://www.bartleby.com/isbn_cover_images/9780134689517/9780134689517_smallCoverImage.gif)