The points (1,3), (2,12) and (5,63) lie on the graph y=f (x) of some function f that is continuous everywhere. Let P2(x) denote the polynomial interpolating to f at xo = 1, x1 = 2 and x2 = 5. Assuming P2(x) was obtained via the Vandermonde method/method of undetermined coefficients, then f(3) - P2(3), which is closest to O A. -26 O B. 6 O C.-16 O D. -6 O E. 26 O F. 16

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The points (1,3), (2,12) and (5,63) lie on the graph y=f (x) of some function f that is continuous
everywhere.
Let P2(x) denote the polynomial interpolating to f at xo = 1, x1 = 2 and x2 = 5. Assuming P2(x)
was obtained via the Vandermonde method/method of undetermined coefficients, then
f(3) - P2(3), which is closest to
O A. -26
O B. 6
O C.-16
O D. -6
O E. 26
O F. 16
Transcribed Image Text:The points (1,3), (2,12) and (5,63) lie on the graph y=f (x) of some function f that is continuous everywhere. Let P2(x) denote the polynomial interpolating to f at xo = 1, x1 = 2 and x2 = 5. Assuming P2(x) was obtained via the Vandermonde method/method of undetermined coefficients, then f(3) - P2(3), which is closest to O A. -26 O B. 6 O C.-16 O D. -6 O E. 26 O F. 16
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