Round off to two decimal place The table Time (xi) Balance (y₁ = F(xx₂)) O e 1 40.00 3200 3 10 625 9093 4 7220 depicts the balance (in Rands) of a bank account at intervals of 1 month ave a period of 4 months. Here 4 while the quantities x₁=0 and i=0, 1, 2,. Yo = 4000, respectively, represent the time the decourt was opened and initiell balance of the account. a Construct a divided difference table for the above dala.
Round off to two decimal place The table Time (xi) Balance (y₁ = F(xx₂)) O e 1 40.00 3200 3 10 625 9093 4 7220 depicts the balance (in Rands) of a bank account at intervals of 1 month ave a period of 4 months. Here 4 while the quantities x₁=0 and i=0, 1, 2,. Yo = 4000, respectively, represent the time the decourt was opened and initiell balance of the account. a Construct a divided difference table for the above dala.
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
Transcribed Image Text:132
3
pod $145
Round off to two decimal place
The table
C)
Time (xi)
Balance
(Y₁ = F(x₂))
O
4000
1
3200
2
3
4
10 625 9093 7220
depicts the balance (in Rands) of a bank account at
interials of 1 month are a period of 4 months. Here
i = 0, 1, 2, ..., 4 while the quantities xo=0 and
Yo =
4000, respectively, represent the time the grecourt was opened
and initiell balance of the account.
a) Construct a divided difference table for the above dala.
b) Use the table represented in Port a), along with
Newton's divided difference Formule, to approximate Fca.5)
with a polynomial of degree 3, P₂000). Use x₁ = 4 as
the startine) neele of the polynomia (
[Hint: Read the table from the "dainside up" I
Estimate the error in the approximation in Part b).
Expert Solution
Note:
Hi! Thank you for your question.As per guidelines we can solve one question at a time in case of multiple questions. As you have not mentioned for which one you need the answer.we are solving the question number (a).Please repost the question to get the answers to the rest of the questions.
Step by step
Solved in 4 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,
