Using Newton's Divided Difference Table, find a 5th order polynomial using the data from the table below at time intervals of 10, 12, 14, 16, 18, 20.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter11: Addition And Subtraction Of Decimal Fractions
Section: Chapter Questions
Problem 1A: Round 0.53745 to 3 decimal places.
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Problem No. 2a
a. Using Newton's Divided Difference Table, find a 5th order polynomial using the data from the table
below at time intervals of 10, 12, 14, 16, 18, 20.
1 Add file
Problem No. 2bi
b. Using a 5 Order polynomial in Problem No. 2(a), solve for the estimated energy consumption (in
kWh) of Plant A using:
i. 4 Segment Composite Trapezoidal Rule
a = 10 and b = 12
1 Add file
Problem No. 2b ii
ii. 1/3 Simpson Rule
a = 10 andb = 14
1 Add file
Transcribed Image Text:Problem No. 2a a. Using Newton's Divided Difference Table, find a 5th order polynomial using the data from the table below at time intervals of 10, 12, 14, 16, 18, 20. 1 Add file Problem No. 2bi b. Using a 5 Order polynomial in Problem No. 2(a), solve for the estimated energy consumption (in kWh) of Plant A using: i. 4 Segment Composite Trapezoidal Rule a = 10 and b = 12 1 Add file Problem No. 2b ii ii. 1/3 Simpson Rule a = 10 andb = 14 1 Add file
Table 1
Table 1
Average Daily Electricity
Consumption of PLANT A
Time
Time
kW
kW
1
700
13
2300
582
14
2555
3
612
15
2777
4
735
16
2890
5
430
17
3510
598
18
2850
7
757
19
2251
821
20
1890
876
21
1125
10
1520
22
800
11
1655
23
722
12
2000
24
655
Transcribed Image Text:Table 1 Table 1 Average Daily Electricity Consumption of PLANT A Time Time kW kW 1 700 13 2300 582 14 2555 3 612 15 2777 4 735 16 2890 5 430 17 3510 598 18 2850 7 757 19 2251 821 20 1890 876 21 1125 10 1520 22 800 11 1655 23 722 12 2000 24 655
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