A tank initially contains a solution of 11 pounds of salt in 70 gallons of water. Water with 7/10 pound of salt per gallon is added to the tank at 7 gal/min, and the resulting solution leaves at the same rate. Let Q(t) denote the quantity (lbs) of salt at time t (min). (a) Write a differential equation for Q(t). Q'(t) = (b) Find the quantity Q(t) of salt in the tank at time t > 0. (c) Compute the limit. lim Q(t)= = 1-0
A tank initially contains a solution of 11 pounds of salt in 70 gallons of water. Water with 7/10 pound of salt per gallon is added to the tank at 7 gal/min, and the resulting solution leaves at the same rate. Let Q(t) denote the quantity (lbs) of salt at time t (min). (a) Write a differential equation for Q(t). Q'(t) = (b) Find the quantity Q(t) of salt in the tank at time t > 0. (c) Compute the limit. lim Q(t)= = 1-0
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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![A tank initially contains a solution of 11 pounds of salt in 70 gallons of water. Water with 7/10 pound of salt
per gallon is added to the tank at 7 gal/min, and the resulting solution leaves at the same rate. Let Q(t)
denote the quantity (lbs) of salt at time t (min).
(a) Write a differential equation for Q(t).
Q'(t) =
(b) Find the quantity Q(t) of salt in the tank at time t > 0.
(c) Compute the limit.
lim Q(t)
1-00](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F05785fd0-8a52-4e64-9215-e3fa4f952aba%2Fff67b942-c923-4c03-a9ea-6076b30c644b%2Fv4bqesb_processed.png&w=3840&q=75)
Transcribed Image Text:A tank initially contains a solution of 11 pounds of salt in 70 gallons of water. Water with 7/10 pound of salt
per gallon is added to the tank at 7 gal/min, and the resulting solution leaves at the same rate. Let Q(t)
denote the quantity (lbs) of salt at time t (min).
(a) Write a differential equation for Q(t).
Q'(t) =
(b) Find the quantity Q(t) of salt in the tank at time t > 0.
(c) Compute the limit.
lim Q(t)
1-00
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