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) = 31, g(x) = 3sinx, h(x) = 6cos?x Enter the non-trivial linear combin ation. (18)(31) + (O (3 sin²x) + (O (6 cos?x) =0
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) = 31, g(x) = 3sinx, h(x) = 6cos?x Enter the non-trivial linear combin ation. (18)(31) + (O (3 sin²x) + (O (6 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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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.
f(x) = 31, g(x) = 3sin?x, h(x) = 6cosx
Enter the non-trivial linear combin ation.
2
(18)(31) + (O (3 sin x) + (D (6 cos ?x) = 0
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