5. The concentration of salt x in a home made soap maker is given as a function of time by dx = 37.5 – 3.5x dt At the initial time,t =0, the salt concentration in the tank is 50 g/L. a. Using Euler Method and Euler He-un and a step size of h = 0.75min, what is the salt concentration after 6minutes?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
Problem 56E: When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream...
icon
Related questions
Topic Video
Question

Answer up to 8 decimal places

5. The concentration of salt x in a home made soap maker is given as a function of time by
dx
= 37.5 – 3.5x
dt
At the initial time, t = 0, the salt concentration in the tank is 50 g/L.
a. Using Euler Method and Euler He-un and a step size of h = 0.75min, what is the salt concentration after 6minutes?
b. Using all Runge-kutta 2nd order techniques and Runge-Kutta 4th order method and a step size of, h = 1.5 min , what is
the salt concentration after 6 minutes?
c. Compare the absolute percent relative error of all the method and give a conclusion.
Transcribed Image Text:5. The concentration of salt x in a home made soap maker is given as a function of time by dx = 37.5 – 3.5x dt At the initial time, t = 0, the salt concentration in the tank is 50 g/L. a. Using Euler Method and Euler He-un and a step size of h = 0.75min, what is the salt concentration after 6minutes? b. Using all Runge-kutta 2nd order techniques and Runge-Kutta 4th order method and a step size of, h = 1.5 min , what is the salt concentration after 6 minutes? c. Compare the absolute percent relative error of all the method and give a conclusion.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 7 images

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning