For the given functions f(x)=sintx let xO=1,x1=1.25, and x2=1.6. Construct interpolation polynomials of degree at most two to approximate f(1.4). O 4.552379809x2-10.82128170x+7.2689018882 O 5.552379809x²-10.82128170x+7.2689018882 O 7.552379809x2-10.82128170x+7.2689018882 O 3.552379809x2-10.82128170x+7.2689018882

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
Section3.6: Rational Functions
Problem 2E
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For the given functions f(x)=sintx let
xO=1,x1=1.25, and x2=1.6. Construct
interpolation polynomials of degree at
most two to approximate f(1.4).
O 4.552379809x²-10.82128170x+7.2689018882
5.552379809x2-10.82128170x+7.2689018882
O 7.552379809x²-10.82128170x+7.2689018882
O 3.552379809x2-10.82128170x+7.2689018882
Transcribed Image Text:For the given functions f(x)=sintx let xO=1,x1=1.25, and x2=1.6. Construct interpolation polynomials of degree at most two to approximate f(1.4). O 4.552379809x²-10.82128170x+7.2689018882 5.552379809x2-10.82128170x+7.2689018882 O 7.552379809x²-10.82128170x+7.2689018882 O 3.552379809x2-10.82128170x+7.2689018882
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