Find the quadratic polynomial g(x) = ax² + bx + c which best fits the function f(x) = e* at x = 0, in the sense that g(0) = f(0), and gʻ(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?
Find the quadratic polynomial g(x) = ax² + bx + c which best fits the function f(x) = e* at x = 0, in the sense that g(0) = f(0), and gʻ(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 47E
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