Find the polynomial p2 (z) = a0 +ajz+ azz? nat interpolates the ponts (0, -1). (2, –1) and (3,2). (a) The aim of interpolation is for the function to pass precisely through the data points. If p2 (z) is to pass precisely through (0, -1). then P2(0) = ao + 0a +0²a2 =-1 a0 = -1 Write down the equations that must be satisfied for p (z) to pass precisely through the other two data points: P2 (2) = ag+ @2 = P2 (3) = ag+ F (b) Solve the linear system in part-(a) for ag. aj and ag Enter the quadratic interpolating polynomial p (2). Use the "Plot link to check that your answer passes through the data points P2) =
Find the polynomial p2 (z) = a0 +ajz+ azz? nat interpolates the ponts (0, -1). (2, –1) and (3,2). (a) The aim of interpolation is for the function to pass precisely through the data points. If p2 (z) is to pass precisely through (0, -1). then P2(0) = ao + 0a +0²a2 =-1 a0 = -1 Write down the equations that must be satisfied for p (z) to pass precisely through the other two data points: P2 (2) = ag+ @2 = P2 (3) = ag+ F (b) Solve the linear system in part-(a) for ag. aj and ag Enter the quadratic interpolating polynomial p (2). Use the "Plot link to check that your answer passes through the data points P2) =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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