Question # 55: Consider the following data set: X f(x) -0.1 -0.09483 0 0 for a function f (x) For these data values answer the following, and write all your results up to five decimal places. 3. 1. Using the above data, compute the first derivative of the function numerically by using the central difference method. 2. I For in interval [-0.1, 0.1], compute the error bound (truncation error) if the above data is generated by the function, f(x) = e¯ + 2x −. 1 X 1 Also compute the actual error. 4. . Based on your error calculations in the previous two parts, explain why the result found for the numerical value of the first derivative in the first part of the question is acceptable or not. 0.1 0.10484
Question # 55: Consider the following data set: X f(x) -0.1 -0.09483 0 0 for a function f (x) For these data values answer the following, and write all your results up to five decimal places. 3. 1. Using the above data, compute the first derivative of the function numerically by using the central difference method. 2. I For in interval [-0.1, 0.1], compute the error bound (truncation error) if the above data is generated by the function, f(x) = e¯ + 2x −. 1 X 1 Also compute the actual error. 4. . Based on your error calculations in the previous two parts, explain why the result found for the numerical value of the first derivative in the first part of the question is acceptable or not. 0.1 0.10484
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter10: Radical Functions And Equations
Section: Chapter Questions
Problem 15CT
Related questions
Question
![Question # 55: Consider the following data set:
-0.1
0.1
f (x)
-0.09483
0.10484
for a function f (x) For these data values answer
the following, and write all your results up to five
decimal places.
Using the above data, compute the
first derivative of the function numerically by
1.
using the central difference method.
For in interval -0.1,0.1], compute
2. Į
the error bound (truncation error) if the above
data is generated by the function,
f (x) = e-* + 2x – 1
3.
T Also compute the actual error.
4.
Based on your error calculations in
the previous two parts, explain why the result
found for the numerical value of the first
derivative in the first part of the question is
acceptable or not.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F87ad2ca8-d66d-4e75-84b8-141a4dbbd1f2%2F08abf786-2449-43dc-975e-c01a1903b971%2Fx30qu6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question # 55: Consider the following data set:
-0.1
0.1
f (x)
-0.09483
0.10484
for a function f (x) For these data values answer
the following, and write all your results up to five
decimal places.
Using the above data, compute the
first derivative of the function numerically by
1.
using the central difference method.
For in interval -0.1,0.1], compute
2. Į
the error bound (truncation error) if the above
data is generated by the function,
f (x) = e-* + 2x – 1
3.
T Also compute the actual error.
4.
Based on your error calculations in
the previous two parts, explain why the result
found for the numerical value of the first
derivative in the first part of the question is
acceptable or not.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps with 1 images
Recommended textbooks for you
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning