In Problems 1 through 6, show directly that the given functions are linearly dependent on the real line. That is, find a non- trivial linear combination of the given functions that vanishes identically. 1. f(x) = 2x, g(x) = 3x², h(x) = 5x – 8x² 2. f(x) = 5, g(x) = 2 – 3x², h(x) = 10 + 15x2 3. f(x) = 0, g(x) = sin x, h(x) = e* 4. f(x) = 17, g(x) = 2 sin² x, h(x) = 3 cos? x 5. f(x) = 17, g(x) = cos² x, h(x) = cos 2x 6. f(x) = e*, g(x) = cosh x, h(x) = sinh x %3D %3D

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A: The objective of this question is to determine whether the graphs of the functions f(x) = -x and…

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