Find b 1 and c 3 in the cubic spline S ( x ) = { − 1 + b 1 x − 5 9 x 2 + 5 9 x 3 on [ 0 , 1 ] 14 9 ( x − 1 ) + 10 9 ( x − 1 ) 2 − 2 3 ( x − 1 ) 3 2 + 16 9 ( x − 2 ) + c 3 ( x − 2 ) 2 − 1 9 ( x − 2 ) 3 on [ 1 , 2 ] on [ 2 , 3 ] Is this spline natural? (c) This spline satisfies “clamped” endpoint conditions. What are the values of the two clamps?
Find b 1 and c 3 in the cubic spline S ( x ) = { − 1 + b 1 x − 5 9 x 2 + 5 9 x 3 on [ 0 , 1 ] 14 9 ( x − 1 ) + 10 9 ( x − 1 ) 2 − 2 3 ( x − 1 ) 3 2 + 16 9 ( x − 2 ) + c 3 ( x − 2 ) 2 − 1 9 ( x − 2 ) 3 on [ 1 , 2 ] on [ 2 , 3 ] Is this spline natural? (c) This spline satisfies “clamped” endpoint conditions. What are the values of the two clamps?
Solution Summary: The author explains how to find b1 and C3 in the given cubic spline. The property 2 is given as, lS'_
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