Decide whether the equations form a cubic spline. S ( x ) = { x 3 + x − 1 on [ 0 , 1 ] − ( x − 1 ) 3 + 3 ( x − 1 ) 2 + 3 ( x − 1 ) + 1 on [ 0 , 2 ] S ( x ) = { 2 x 3 + x 2 + 4 x + 5 on [ 0 , 1 ] ( x − 1 ) 3 + 7 ( x − 1 ) 2 + 12 ( x − 1 ) + 12 on [ 0 , 2 ]
Decide whether the equations form a cubic spline. S ( x ) = { x 3 + x − 1 on [ 0 , 1 ] − ( x − 1 ) 3 + 3 ( x − 1 ) 2 + 3 ( x − 1 ) + 1 on [ 0 , 2 ] S ( x ) = { 2 x 3 + x 2 + 4 x + 5 on [ 0 , 1 ] ( x − 1 ) 3 + 7 ( x − 1 ) 2 + 12 ( x − 1 ) + 12 on [ 0 , 2 ]
Solution Summary: The author explains that the given equation does not form a cubic spline.
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Linear Equation | Solving Linear Equations | What is Linear Equation in one variable ?; Author: Najam Academy;https://www.youtube.com/watch?v=tHm3X_Ta_iE;License: Standard YouTube License, CC-BY