2. (a) Suppose f (5) = 12.81750604, and f(6) = 9.914463077, use linear Lagrange interpolation to calculate approximately the value of f(5.3). (b) Suppose f(5) = 12.81750604, and f(6) = 9.914463077, and f (6.5) = 6.709660083 use quadratic Lagrange interpolation to calculate approximately the value of f(5.3).

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.5: Complex Zeros And The Fundamental Theorem Of Algebra
Problem 3E: A polynomial of degree n I has exactly ____________________zero if a zero of multiplicity m is...
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2. (a) Suppose f (5) = 12.81750604, and f(6) = 9.914463077, use linear Lagrange interpolation to calculate
approximately the value of f(5.3).
(b) Suppose f(5) = 12.81750604, and f(6) = 9.914463077, and f (6.5) = 6.709660083 use quadratic
Lagrange interpolation to calculate approximately the value of f(5.3).
Transcribed Image Text:2. (a) Suppose f (5) = 12.81750604, and f(6) = 9.914463077, use linear Lagrange interpolation to calculate approximately the value of f(5.3). (b) Suppose f(5) = 12.81750604, and f(6) = 9.914463077, and f (6.5) = 6.709660083 use quadratic Lagrange interpolation to calculate approximately the value of f(5.3).
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