1 400 000 275 000 2 181 250 110 938 58 203 depicts the value (in Rands) of an automobile at intervals of 1 year over a period of 4 years. Here 1812 while the quantities and 100 000, respectively, represent the time of purchase and as the starting node of the polynomial. 00

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please help with a, b and c
11:49
Time
Value
0
400 000
1
2
275 000 181 250
Yesterday
21:51
3
3
110 938
4
Edit
depicts the value (in Rands) of an automobile at intervals of 1 year over a period of 4 years. Here
i-0,124 while the quantities x, = 0 and y, 100 000, respectively, represent the time of purchase and
purchase price of the automobile.
a) Construct a divided difference table for the above data.
b) Use the table presented in Part a), along with Newton's divided difference formula,
with a polynonial of degree 3, P(x). Use x, 4 as the starting node of the polynomial
(Hint: Read the table from the "downside up"]
e) Estimate the error in the approximation in Part b)
to approximate /(2
B
Transcribed Image Text:11:49 Time Value 0 400 000 1 2 275 000 181 250 Yesterday 21:51 3 3 110 938 4 Edit depicts the value (in Rands) of an automobile at intervals of 1 year over a period of 4 years. Here i-0,124 while the quantities x, = 0 and y, 100 000, respectively, represent the time of purchase and purchase price of the automobile. a) Construct a divided difference table for the above data. b) Use the table presented in Part a), along with Newton's divided difference formula, with a polynonial of degree 3, P(x). Use x, 4 as the starting node of the polynomial (Hint: Read the table from the "downside up"] e) Estimate the error in the approximation in Part b) to approximate /(2 B
Expert Solution
Step 1

Since there are multipart, so here find the solutions of part (a) and polynomial of part (b) and make the visible approximation point in the picture.

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