(i) (a) Find the value L(32) of the Lagrange polynomial at 32 and the relative error in the approximation of f(32) by L(32). (b) Show your work by filling in the standard table for the method showing the process of evaluation of the Lagrange polynomial at the given point: Ik Uk La(z) VkLk(2) (c) Accordingly. L(32)= and the relative error in question is given by RE(f(32) L(32)) = (ii) Find the value L(38) of the Lagrange polynomial at 38 and the relative error in the approximation of f(38) by L(38). Proceed then as in the previous part by filling in the standard table Ik Uk LA(z) UkLk(2) and by providing the required values: L(38) RE(f(38) L(38))=
(i) (a) Find the value L(32) of the Lagrange polynomial at 32 and the relative error in the approximation of f(32) by L(32). (b) Show your work by filling in the standard table for the method showing the process of evaluation of the Lagrange polynomial at the given point: Ik Uk La(z) VkLk(2) (c) Accordingly. L(32)= and the relative error in question is given by RE(f(32) L(32)) = (ii) Find the value L(38) of the Lagrange polynomial at 38 and the relative error in the approximation of f(38) by L(38). Proceed then as in the previous part by filling in the standard table Ik Uk LA(z) UkLk(2) and by providing the required values: L(38) RE(f(38) L(38))=
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
Problem 1Q
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Transcribed Image Text:(i) (a) Find the value L(32) of the Lagrange polynomial at 32 and the relative error in the approximation of f(32) by L(32).
(b) Show your work by filling in the standard table for the method showing the process of evaluation of the Lagrange polynomial at the given point:
Ik
Uk
La(z)
VkLk(2)
(c) Accordingly.
L(32)=
and the relative error in question is given by
RE(f(32) L(32)) =
(ii) Find the value L(38) of the Lagrange polynomial at
38 and the relative error in the approximation of f(38) by L(38).
Proceed then as in the previous part by filling in the standard table
Ik
Uk
LA(z)
UkLk(2)
and by providing the required values:
L(38)
RE(f(38) L(38))=
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