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Use python programming for the question below, as described from the question below,the main goal here is to achieve a plot similar to the upper

Use python programming for the question below, as described from the question below,the main goal here is to achieve a plot similar to the upper portion of the beast plot given ,using cubic spline.A good idea is to generate each curve one by one;but not to generate the pointsstudent submitted image, transcription available below  

The upper portion of this noble beast is to be approximated using clamped cubic spline interpolants. The curve is drawn on a grid from which the table is constructed. Construct three clamped cubic splines using the data given. f(x) A 8 7 6 5 4 3 2 Slope Slope- Slope 3 Slope -4 Curve 1 Slope Curve 2 Curve 3 Slope - 5 10 15 20 25 30 x Curve 1 Curve 2 Curve 3 i xj f(x)) f'(x) i x; f(x;) f'(x) i xi f(x) f'(x) 0 1 3.0 1.0. 0 17 4.5 3.0 0 27.7 4.1 0.33 2 3.7 20 7.0 1 28 4.3 5 3.9 2 23 6.1 2 29 4.1 3 6 4.2 3 24 5.6 3 30 3.0 -1.5 4 7 5.7 4 25 5.8 5 8 6.6 5 27 5.2 6 10 7.1 6 27.7 4.1 -40 7 13 6.7 8 17 4.5 -0.67

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