Make up to \$500 this semester by taking notes for StudySoup as an Elite Notetaker
> > > > Problem 26

# A 100-gallon tank initially contains 100 gallons of sugar

## Problem 26 Chapter 1.9

Differential Equations 00 | 4th Edition

• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants

Differential Equations 00 | 4th Edition

4 5 0 336 Reviews
26
4
Problem 26

A 100-gallon tank initially contains 100 gallons of sugar water at a concentration of 0.25 pounds of sugar per gallon. Suppose that sugar is added to the tank at a rate of p pounds per minute, that sugar water is removed at a rate of 1 gallon per minute, and that the water in the tank is kept well mixed. (a) What value of p should we pick so that, when 5 gallons of sugar solution is left in the tank, the concentration is 0.5 pounds of sugar per gallon? (b) Is it possible to choose p so that the last drop of water out of the bucket has a concentration of 0.75 pounds of sugar per gallon?

Step-by-Step Solution:
Step 1 of 3

MATH 1220 Notes for Week #7 22 February 2016 Warm­Up ● Remind yourself of the of the statement of the Intermediate Value Theorem (IVT): ○ on a closed interval [a, b] where a < b and f(a) < 0, f(b) > 0, and f is continuous, there exists a number z such that f(z) = 0 ○ note: z is not unique; example is f(x) = sin(x) because sin(x) = 0 on the period kπ Equilibrium...

Step 2 of 3

Step 3 of 3

##### ISBN: 9780495561989

This textbook survival guide was created for the textbook: Differential Equations 00, edition: 4. Since the solution to 26 from 1.9 chapter was answered, more than 322 students have viewed the full step-by-step answer. This full solution covers the following key subjects: . This expansive textbook survival guide covers 90 chapters, and 1456 solutions. The answer to “A 100-gallon tank initially contains 100 gallons of sugar water at a concentration of 0.25 pounds of sugar per gallon. Suppose that sugar is added to the tank at a rate of p pounds per minute, that sugar water is removed at a rate of 1 gallon per minute, and that the water in the tank is kept well mixed. (a) What value of p should we pick so that, when 5 gallons of sugar solution is left in the tank, the concentration is 0.5 pounds of sugar per gallon? (b) Is it possible to choose p so that the last drop of water out of the bucket has a concentration of 0.75 pounds of sugar per gallon?” is broken down into a number of easy to follow steps, and 118 words. Differential Equations 00 was written by Patricia and is associated to the ISBN: 9780495561989. The full step-by-step solution to problem: 26 from chapter: 1.9 was answered by Patricia, our top Math solution expert on 01/02/18, 08:51PM.

#### Related chapters

×
Get Full Access to Differential Equations 00 - 4 Edition - Chapter 1.9 - Problem 26

Get Full Access to Differential Equations 00 - 4 Edition - Chapter 1.9 - Problem 26

I don't want to reset my password

Need help? Contact support

Need an Account? Is not associated with an account
We're here to help