Determine whether the pairs of functions in Problems 20 through 26 are linearly independent or linearly dependent on the real line. 20. f(x) = 1, g(x) = cos² x + sin? x 21. f(x) = x³, g(x) = x²|x| 22. f(x) = 1+ x, g(x) = 1+ |x| 23. f(x) = xe*, g(x) = |x|e* 24. f(x) = sin? x, g(x) = 1 – cos 2.x 25. f(x) = e* sin x, g(x) = e* cos x 26. f(x) = 2 cos x + 3 sin x, g(x) %3D = 3 cos x – 2 sin x

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