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Unformatted text preview: 4. Find b,c,d so that the following is a natural cubic spline S ( x ) = ( 1 + 2 x-x 3 , if 0 x &lt; 1 , 2 + b ( x-1) + c ( x-1) 2 + d ( x-1) 3 , if 1 x &lt; 2 . 5. (Matlab) (a) Plot the piecewise linear polynomial of problem #2(a) over [0 , 6] and turn it in. (b) Plot the piecewise quadratic polynomial of problem #2(c) over [0 , 6] and turn it in. (c) Plot the interpolating polynomial of least degree for the data in problem #2 and turn it in. 6. (Math 274) Consider data points taken from the sine function at n evenly spaced points x i : 0 = x 1 &lt; x 2 &lt; ... &lt; x n = 2 . Let p ( x ) be the piecewise linear polynomial interpolating these points. Use bounds to nd n that will ensure that | f ( x )-p ( x ) | 10-7 . 1...
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This note was uploaded on 10/17/2010 for the course MATH 174 taught by Professor Staff during the Spring '08 term at UCSD.
- Spring '08