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We would like to plot a cubic spline curve from three control points given below: 3 5 3 P1 = ,P2 = ,P3 = 0
We would like to plot a cubic spline curve from three control points given below: 3 5 3 P1 = ,P2 = ,P3 = 0 0 and assume that the derivatives at the start point and the end point are: 0 0 P1 = P'; = 0 As a result, the cubic spline curve can be formulated as a combination of two piecewise curves: 11 Y1 3 1 1 Ri(11) = - [M]]4x4 21 1 22 Y2 R2(12) = = = (M2]4x4 22 12 1 What is the coordinates (x, y) of the point on the curve when 11 = 0.6? Give your answers to a precision of 4 decimal digits. The coordinate x? (50%) The coordinate y? (50%) We would like to plot a cubic spline curve from three control points given below: 3 5 3 P1 = ,P2 = ,P3 = 0 0 and assume that the derivatives at the start point and the end point are: 0 0 P1 = P'; = 0 As a result, the cubic spline curve can be formulated as a combination of two piecewise curves: 11 Y1 3 1 1 Ri(11) = - [M]]4x4 21 1 22 Y2 R2(12) = = = (M2]4x4 22 12 1 What is the coordinates (x, y) of the point on the curve when 11 = 0.6? Give your answers to a precision of 4 decimal digits. The coordinate x? (50%) The coordinate y? (50%)
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