Question: (( x ) f(ro) = 1 Table 2 8. (35 points) For the data in Table 2: (a) (20 points) Calculate the second-order interpolating polynomial

(( x ) f(ro) = 1 Table 2 8. (35 points) For the
(( x ) f(ro) = 1 Table 2 8. (35 points) For the data in Table 2: (a) (20 points) Calculate the second-order interpolating polynomial using the Lagrange interpolating polynomial. (b) (10 points) Use the interpolating polynomial in (a) to calculate the approximated / interpolated value of the function at x = 1. (c) (5 points) Calculate the percentage relative error if the true value is f(1) = 3.4

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