Question: 1. Interpolate the function sin(x) on the interval [0,/2] using a natural cubic spline interpolation with 5 equispaced nodes. 2. Interpolate the Runge function 1/(1

1. Interpolate the function sin(x) on the interval [0,/2] using a natural cubic spline interpolation with 5 equispaced nodes. 2. Interpolate the Runge function 1/(1 + 25x^2) on the interval [1,1] using a natural cubic spline interpolation with 10, 15, 20, and 25 equidispaced nodes. Graph the interpolants.

Provide Matlab code for both problems.

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