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) =23, g(x) =cos x, h(x) = cos 2x Enter the non-trivial linear combination. (1)(23) + (D(cos x) + D(cos 2x) = 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) =23, g(x) =cos x, h(x) = cos 2x Enter the non-trivial linear combination. (1)(23) + (D(cos x) + D(cos 2x) = 0

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter2: Functions And Graphs

Section2.6: Proportion And Variation

Problem 17E: Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.

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Question

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) =23, g(x) =cos x, h(x) = cos 2x
Enter the non-trivial linear combination.
(1)(23) + (D(cosx) + D(cos 2x) = 0

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