a) Develop a program that creates a plot of the derivative of f a finite difference approximation using n computational nodes. The program should also graph the exact derivative given by f'= f'(x) above. f(x) based on %3D
a) Develop a program that creates a plot of the derivative of f a finite difference approximation using n computational nodes. The program should also graph the exact derivative given by f'= f'(x) above. f(x) based on %3D
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
Concept explainers
Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
Question
![Consider the function
f(x) = sin
for x ranging from 0 to 1, and the derivative
os ()
x+e
(x+E)*
Here, & is a given input parameter.
a) Develop a program that creates a plot of the derivative off:
a finite difference approximation using n computational nodes. The program
should also graph the exact derivative given by f'= f'(x) above.
b) Test the program using n
c) How large do you have to choose n in order for the difference between these
two functions to be less than 0.1?
f(x) based on
10 and e 1/5.
Hint Each function gives an array. Create a while loop and use the max function
of the arrays to retrieve the maximum value and compare these.
d) Let a:
1/10 and recalculate.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff10f6b1c-efdc-4969-97a6-be09f22ba4cb%2Fa588dafa-01dc-4211-b9d3-840b9633ba10%2F9g23hu5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the function
f(x) = sin
for x ranging from 0 to 1, and the derivative
os ()
x+e
(x+E)*
Here, & is a given input parameter.
a) Develop a program that creates a plot of the derivative off:
a finite difference approximation using n computational nodes. The program
should also graph the exact derivative given by f'= f'(x) above.
b) Test the program using n
c) How large do you have to choose n in order for the difference between these
two functions to be less than 0.1?
f(x) based on
10 and e 1/5.
Hint Each function gives an array. Create a while loop and use the max function
of the arrays to retrieve the maximum value and compare these.
d) Let a:
1/10 and recalculate.
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 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
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
![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)