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K The following table has the inputs, x, and the outputs for two functions, f and g. Use third differences to determine whether a cubic function exactly fits the data with input x and output g(x). 0 1 1 0.4 X f(x) g(x) Complete the table below to find the third differences. Outputs 0 0.4 First Differences 0.4 0 0 Second Differences Third Differences (Type integers or decimals.) 2,8 2 1 9.2 □ 7 21.6 6.4 ☐ 20.4 6 0 1 42 2 6 28 3 26 9.2 4 63 21.6 5 114 42 10

K The following table has the inputs, x, and the outputs for two functions, f and g. Use third differences to determine whether a cubic function exactly fits the data with input x and output g(x). 0 1 1 0.4 X f(x) g(x) Complete the table below to find the third differences. Outputs 0 0.4 First Differences 0.4 0 0 Second Differences Third Differences (Type integers or decimals.) 2,8 2 1 9.2 □ 7 21.6 6.4 ☐ 20.4 6 0 1 42 2 6 28 3 26 9.2 4 63 21.6 5 114 42 10

Advanced Engineering Mathematics
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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K The following table has the inputs, x, and the outputs for two functions, f and g. Use third differences to determine whether a cubic function exactly fits the data with input x and output g(x). 0 1 3 5 1 26 114 0.4 9.2 42 X f(x) g(x) Complete the table below to find the third differences. Outputs 0 First Differences 0.4 Second Differences Third Differences (Type integers or decimals.) 0.4 0 0 2 2,8 1 1 9.2 6.4 ☐ 6 1 21.6 0 20.4 42 2 6 28 4 63 21.6 10
Transcribed Image Text:K The following table has the inputs, x, and the outputs for two functions, f and g. Use third differences to determine whether a cubic function exactly fits the data with input x and output g(x). 0 1 3 5 1 26 114 0.4 9.2 42 X f(x) g(x) Complete the table below to find the third differences. Outputs 0 First Differences 0.4 Second Differences Third Differences (Type integers or decimals.) 0.4 0 0 2 2,8 1 1 9.2 6.4 ☐ 6 1 21.6 0 20.4 42 2 6 28 4 63 21.6 10
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