Let P(x) be the Lagrange interpolating polynomial of 1 f(x) = 2x2 + 3 at the points xo = 0; x1 = 1 and x2 = 3. If P(x) is used to approximate f (x), then an approximation of f (2) is most nearly: O 11/105 O 1/15 13/290 O 1/10 O O O

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A: Lagrange's Interpolation: Consider the data set x0, y0, x1, y1, x2, y2, ⋯, xn, yn. The Lagrange's…

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A: We will use La Grange interpolation

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A: Taypor polynomial Tnx  of  fx at x=a is given by,i Tnx=fa+x-a f'a1!+x-a2f''a2 !+x-anfnan!ii Tn+1…

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Q: Let P(x) be the Lagrange interpolating polynomial of f(x) = 2x2 +3 at the points xo = 0; x1 = 1 and…

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Q: 4. Given data of f(x) = ln(e" +2) in the following table -1 -0.5 0.5 f(x) | 0.86199480 0.95802009 |…

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