Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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You need to interpolate the Y data at X= -17 and X=13 using the data table below.

X

-25

-3

7

25

Y

577.9

-2.3

-19.1

-599.9

a. Use Linear Lagrange to interpolate (choose the 2 most appropriate data points for each X)

b. Use 2nd order polynomial Lagrange (choose the 3 most appropriate data points for each X)

c. The equation that was used to generate the data above actually calculates the (X,Y) of (-17, 180.7) and (13, -90.9). Which calculation was closer to the real answers? Linear Lagrange? Or 2nd order polynomial Lagrange? Why do you think this happened?

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