Show directly that the given functions are linearly dependent on the real line. That is, find a nontrivial linear combination of the following functions that vanishes identically. f(x) = 17, g(x) = 6sin?x, h(x) = 3cos 2x Enter the non-trivial linear combination. (18(17) + (O (6 sin?x) • O (3 cos x) = 0

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.5: Solution Of Cubic And Quartic Equations By Formulas (optional)
Problem 29E
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Show directly that the given functions are linearly dependent on the real line. That is, find a nontrivial linear combination of the following functions that vanishes
identically.
1(x) = 17, g(x) = 6sin ?x, h(x) = 3cos ?x
Enter the non-trivial linear combination.
(18)(17) + (O (6 sin ?x) + (D (3 cos ?x) = 0
Transcribed Image Text:Show directly that the given functions are linearly dependent on the real line. That is, find a nontrivial linear combination of the following functions that vanishes identically. 1(x) = 17, g(x) = 6sin ?x, h(x) = 3cos ?x Enter the non-trivial linear combination. (18)(17) + (O (6 sin ?x) + (D (3 cos ?x) = 0
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