1. Consider y-f(x)=cos(2x)+x² over [0, 3t/2]. (By hand but use a calculator) a) Use the three nodes xo-0, x= 3n/4, x2= 3T/2 to construct a quadratic interpolation polynomial P2(x) and compare P2(1) and f(1). b) Use the three nodes xo=0, x= Tt/2, x2= T, X3= 37n/2 to construct a cubic interpolation polynomial P3(x) and compare P3(1) and f(1).
1. Consider y-f(x)=cos(2x)+x² over [0, 3t/2]. (By hand but use a calculator) a) Use the three nodes xo-0, x= 3n/4, x2= 3T/2 to construct a quadratic interpolation polynomial P2(x) and compare P2(1) and f(1). b) Use the three nodes xo=0, x= Tt/2, x2= T, X3= 37n/2 to construct a cubic interpolation polynomial P3(x) and compare P3(1) and f(1).
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 17EQ
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