Hermite polynomial

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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= 5,
Problem 1. Suppose f(x) is a function with f(0) = 2, ƒ'(0) = 1, ƒ(1) = 4, ƒ'(1¹) = −1, ƒ(3)
and f'(3) = -2. Find the cubic Hermite polynomial that agrees with f and f' at the points to = 0,
T₁ = 1, and r₂ = 3.
Transcribed Image Text:= 5, Problem 1. Suppose f(x) is a function with f(0) = 2, ƒ'(0) = 1, ƒ(1) = 4, ƒ'(1¹) = −1, ƒ(3) and f'(3) = -2. Find the cubic Hermite polynomial that agrees with f and f' at the points to = 0, T₁ = 1, and r₂ = 3.
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