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The 2 d degree polynomial that interpolates to f(x) = 2cosx - sinx at x =0, x =1/2 and x =n is best described by
The 2 d degree polynomial that interpolates to f(x) = 2cosx - sinx at x =0, x =1/2 and x =n is best described by O AS (x) = 2 - 2.5465x + 0.4053x2 O B. R(x) = 4 - 5.0929x + 0.8106x2 O c.Q(x) =6-7.6394x + 1.2159x2 O D. P(x) = 8 - 10.1859x + 1.6211x2Where applicable, round all calculations to one decimal place. If R,(x) is the second degree Lagrange interpolating polynomial for the data Ci 1 2 4 yi 5 8 20 where the yi=f (x;) . Then f(3) ~ R2(3), which is closest to OA 9 O B. 18 O C. 12 O D. 15
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