Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. basic math
  3. a 75-gallon tank initially holds 35 gallons of sal

A 75-gallon tank initially holds 35 gallons of salt water containing 6 pounds of salt....

80.2K

Verified Solution

Question

Basic Math

image

A 75-gallon tank initially holds 35 gallons of salt water containing 6 pounds of salt. Suppose salt water containing 5 pounds of salt per gallon is pumped into the top of the tank at the rate of 8 gallons per minute, while a well-mixed solution leaves the bottom of the tank at a rate of 4 gallons per minute. Let S(t) represent the number of pounds of salt in the vat after t minutes. (A) Write the DE model for the time rate of change of salt in the vat. Also include the initial condition. dS/ dt= S(O)= (B) Solve the initial value problem to find the amount of salt in the vat as a function of time. S(t)= (C) How much salt is in the tank when the tank is full? pounds.

Answer & Explanation Solved by verified expert
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Biology
1.2K views

3. Which of the following microscopes would you use if you wanted to observe a living Paramecium from a...

Advance Math
1.2K views

An environmentally toxic radioactive chemical is continually released at a constant rate of 1 (mg per...

Advance Math
1.2K views

Solve x(y^2+U)Ux -y(x^2+U)Uy =(x^2-y^2)U, U(x,-x)=1

Biology
1.2K views

The three populations that were chosen for further analysis are geographically distant from one another....

Physics
1.2K views

1 An observer can see through a pin hole the top end of a thin...

Calculus
1.2K views

Differentiate Y u Y u u u u5 3u

Accounting
1.2K views

1.What valuation techniques do we adopt for bonds and preferred/common stocks? ...

Accounting
1.2K views

the normative structure for reporting emphasise the importance of transactions that should be reported on...

Accounting
1.2K views

Which taxpayer makes the requirements to deduct moving expenses Sergeant Billy decides to...

Accounting
1.2K views

Assume that the sales mix changes, and rotomolded kayaks now make up 70% of total...

Accounting
1.2K views

Lukow Products is Investigating the purchase of automated equipment that will save $130,000 each year...

Accounting
1.2K views

Picard company used a predetermined overhead rate based on direct labour hours. The estimated annual...