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Q4. The data shown in Table Q4 represent response data points from a system: t f(t) -1.75 -0.835 (1) Linear Splines (ii) Table Q4

Q4. The data shown in Table Q4 represent response data points from a system: (a) Find the Spline Interpolant for the data poi 

Q4. The data shown in Table Q4 represent response data points from a system: t f(t) -1.75 -0.835 (1) Linear Splines (ii) Table Q4 Quadratic Splines. -1.10 1.345 -0.05 -3.166 0.85 4.474 Find the Spline Interpolant for the data points shown in Table Q4 using the following methods: 1.90 -3.728 [20] (b) Hence or otherwise determine the Interpolation value when t = 1.25 for both methods. [2] (c) By calculating the absolute error for these interpolated points and given that the true value of f(1.25) = 3.659, determine which method is more accurate for this point. [3]

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