49. Find the quadratic polynomial g(x) = ax? + bx + c which best fits the function f(x) = e*t at x = 0, in the sense that g(0) = f(0), and g'(0) = f'(0), and g"(0) = f"(0). Using a computer or calculator, sketch graphs of f and g on the same axes. What do you notice?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 3E
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49. Find the quadratic polynomial g(x) = ax? + bx + c
which best fits the function f(x) = e*t at x = 0, in the
sense that
g(0) = f(0), and g'(0) = f'(0), and g"(0) = f"(0).
Using a computer or calculator, sketch graphs of f and
g on the same axes. What do you notice?
Transcribed Image Text:49. Find the quadratic polynomial g(x) = ax? + bx + c which best fits the function f(x) = e*t at x = 0, in the sense that g(0) = f(0), and g'(0) = f'(0), and g"(0) = f"(0). Using a computer or calculator, sketch graphs of f and g on the same axes. What do you notice?
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