Given the following table for the function f(x)=x+1 y 1 x 0 1 2 1.4142 1.7321...

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Given the following table for the function f(x)=√x+1 y 1 x 0 1 2 1.4142 1.7321 a) (8 points) Construct the maximum degree Lagrange Polynomial b) (6 points) Estimate (1.5) using the constructed polynomial in part a) c) (8 points) Estimate the error at x =1.5 using the error function Ex (x) = (x-x)(x-x₁)...(x-xx) f(x) (c) (N+1)! d) (8 points) Estimate the uniform error on [0,2] Given the following table for the function f(x)=√x+1 y 1 x 0 1 2 1.4142 1.7321 a) (8 points) Construct the maximum degree Lagrange Polynomial b) (6 points) Estimate (1.5) using the constructed polynomial in part a) c) (8 points) Estimate the error at x =1.5 using the error function Ex (x) = (x-x)(x-x₁)...(x-xx) f(x) (c) (N+1)! d) (8 points) Estimate the uniform error on [0,2]