f,(x) = cos(2x), f,(x) = 1, f(x) = cos (x) g(x) = c,f,(x) + cf,(x) + cf (x) %3D Solve for c, c,, and c, so that g(x) = 0 on the interval (-o, oo). If a nontrivial solution exists, stat Determine whether f, f, f are linearly independent on the interval (-o, co). • linearly dependent O linearly independent
f,(x) = cos(2x), f,(x) = 1, f(x) = cos (x) g(x) = c,f,(x) + cf,(x) + cf (x) %3D Solve for c, c,, and c, so that g(x) = 0 on the interval (-o, oo). If a nontrivial solution exists, stat Determine whether f, f, f are linearly independent on the interval (-o, co). • linearly dependent O linearly independent
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
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Transcribed Image Text:Consider the following functions.
f;(x) = cos(2x), fy(X) = 1, f(x) = cos?(x)
g(x) = cf;(x) + Czf2(x) + Czf3(x)
%3D
Solve for c,, C2, and c, so that g(x) = 0 on the interval (-0, co). If a nontrivial solution exists, state it. (If only the trivial solution exists, enter the trivial solution {0, 0, 0}.)
{Gq, Cz, C3} ={ ()
Determine whether f,, f,, f, are linearly independent on the interval (-o, 0).
O linearly dependent
O linearly independent
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