The 2nd degree polynomial that interpolates to f(x) = cosx + sinx at x = 0, x= π/2 and x = π is best described by O A. Q(x) = 3 +1.9099x - 1.2159x² O B. P(x) = 4+2.5465x - 1.6211x² C. S(x) = 1 + 0.6366x - 0.4053x² O D. R(x) = 2 + 1.2732x - 0.8106x²

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The 2nd degree
polynomial that
interpolates to
f(x) = cosx + sinx
at x = 0, x = π/2 and
x = π is best
described by
O A.
Q(x) = 3 +1.9099x - 1.2159x²
O B.
P(x) = 4+2.5465x - 1.6211x²
O C.
S(x) = 1 + 0.6366x -0.4053x²
O D.
R(x) = 2 +1.2732x - 0.8106x²
Transcribed Image Text:The 2nd degree polynomial that interpolates to f(x) = cosx + sinx at x = 0, x = π/2 and x = π is best described by O A. Q(x) = 3 +1.9099x - 1.2159x² O B. P(x) = 4+2.5465x - 1.6211x² O C. S(x) = 1 + 0.6366x -0.4053x² O D. R(x) = 2 +1.2732x - 0.8106x²
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