Consider the following functions. f₁(x) = x, f₂(x) = x², f3(x) = 4x - 7x² g(x)=c₁f₁(x) + c₂f₂(x) + C3f3(x) Solve for C₁, C₂, and c3 so that g(x) = 0 on the interval (-∞o, co). If a nontrivial solution exists, state it. (If only the trivial solution exists, enter the trivial solution (0, 0, 0}.) (C₁, C2, C3} = { [ Determine whether f₁, f2, f3 are linearly independent on the interval (-co, co). O linearly dependent O linearly independent.
Consider the following functions. f₁(x) = x, f₂(x) = x², f3(x) = 4x - 7x² g(x)=c₁f₁(x) + c₂f₂(x) + C3f3(x) Solve for C₁, C₂, and c3 so that g(x) = 0 on the interval (-∞o, co). If a nontrivial solution exists, state it. (If only the trivial solution exists, enter the trivial solution (0, 0, 0}.) (C₁, C2, C3} = { [ Determine whether f₁, f2, f3 are linearly independent on the interval (-co, co). O linearly dependent O linearly independent.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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