4. Complete the table below. Approximate the derivative by completing the table using the different values of h given. Show your complete manual solution. approximate error = E, = present approximation - previous approximation approximate error absolute percent relative approximate error = 1%c al = present approximation| x 100 B D 1 3 2 f(x) f'(x) approximation present previous approximate approxim approxim 3. absolute relative x+h f(x+h) error approximate error 4 ation ation 5 0.3 6. 0.15 0.1 0.01 0.001 Co
4. Complete the table below. Approximate the derivative by completing the table using the different values of h given. Show your complete manual solution. approximate error = E, = present approximation - previous approximation approximate error absolute percent relative approximate error = 1%c al = present approximation| x 100 B D 1 3 2 f(x) f'(x) approximation present previous approximate approxim approxim 3. absolute relative x+h f(x+h) error approximate error 4 ation ation 5 0.3 6. 0.15 0.1 0.01 0.001 Co
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
Question
Numerical methods
QUESTION NUMBER 4 ONLY!!
Transcribed Image Text:1. Using techniques in calculus, solve for the exact or true value of the derivative of
the function below at x = 3. Show your complete manual solution. Save values
while calculating but show/write and round your answer in 4 decimal places
only.
f(x) = 7xe0.5x
2. Approximate the derivative of the function at x = 3 by using f'(x) = Lx+h)-1(1)
at h = 0.3.
3. Find the true error for the approximation above. E = true value –
approximate value
4. Complete the table below. Approximate the derivative by completing the table
using the different values of h given. Show your complete manual solution.
approximate error = Ea = present approximation – previous approximation
approximate error
absolute percent relative approximate error = 1%cal =|
present approximation
x 100
A
B
D
E
3
f(x)
f(x) approximation
present previous approximate
f(x+h)
approxim approxim
absolute
relative
x+h
error
approximate
error
4
ation
ation
0.3
6
0.15
0.1
8.
0.01
9
0.001
5. Complete the table using a spreadsheet software (e.g. MS Excel). You may use a
mobile phone application. Approximate the derivative by completing the table
using the different values of h given. Points will be given depending on how
efficiently you utilized your spreadsheet software.
Expert Solution
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 3 steps
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
