17. The following values of the function f(x) = sin x + cos x, are given 10° 20° 30° flx) 1.1585 1.2817 1.3660 Construct the quadratic Lagrange interpolating polynomial that fits the data. Hence, find f(n/12). Compare with the exact value.

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Conic Sections
Section8.2: More Parabolas And Some Circles
Problem 63.1PS
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17. The following values of the function f(x) = sin x + cos x, are given
%3D
10°
20°
30°
flx)
1.1585
1.2817
1.3660
Construct the quadratic Lagrange interpolating polynomial that fits the data.
Hence, find f(r/12). Compare with the exact value.
Transcribed Image Text:17. The following values of the function f(x) = sin x + cos x, are given %3D 10° 20° 30° flx) 1.1585 1.2817 1.3660 Construct the quadratic Lagrange interpolating polynomial that fits the data. Hence, find f(r/12). Compare with the exact value.
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