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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