Question: Use MATLAB to code. Use the function f(x)=sin^2(x) on [0,pi] to verify the convergence theorems for piecewise linear and subic spline interpolation. Using 11,21,41,and 81

Use MATLAB to code. Use the function f(x)=sin^2(x) on [0,pi] to verify the convergence theorems for piecewise linear and subic spline interpolation. Using 11,21,41,and 81 equally spaced points, calucalte the errors in the approximations (error as defined in the theorems) and then calculate convergence rates.

Use MATLAB to code. Use the function f(x)=sin^2(x) on [0,pi] to verify

the convergence theorems for Use the function f(x) = sin' (x) on [0, to verify piecewise linear and cubic spline interpolation. Using 11, 21, 41, and 8 spaced points, calculate the errors in the approximations (error as defined in the theorems), and then calculate convergence rates. 1 equ the convergence theorems for Use the function f(x) = sin' (x) on [0, to verify piecewise linear and cubic spline interpolation. Using 11, 21, 41, and 8 spaced points, calculate the errors in the approximations (error as defined in the theorems), and then calculate convergence rates. 1 equ

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