Consider approximating the function f(x) = e¯1.9€ on the interval (0,0.46] by linear interpolation through the points (0, 1) and (0.46,0.417). Use the polynomial interpolation error theorem to determine to two decimal places the smallest value of a for which \f(x) – P1 (æ)| < a.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Consider approximating the function f(x) = e¯1.9x on the interval [0,0.46] by linear interpolation through the points (0, 1) and (0.46, 0.417).
Use the polynomial interpolation error theorem to determine to two decimal places the smallest value of a for which
\f(x) – P1 (æ)| < a.
a =
Number
Transcribed Image Text:Consider approximating the function f(x) = e¯1.9x on the interval [0,0.46] by linear interpolation through the points (0, 1) and (0.46, 0.417). Use the polynomial interpolation error theorem to determine to two decimal places the smallest value of a for which \f(x) – P1 (æ)| < a. a = Number
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