Determine whether the given set of functions is linearly independent on the interval (-∞, f_ (x) = e*, f,(x) = e-*, fg(x) = sinh(x) O linearly dependent O linearly independent
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A: I have given the answer in the next step. Hope you understand that
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- Determine whether the given functions are linearly dependent or linearly independent on the specified interval. Justify your decision. (sin x cos x, 1) on (-♾️,+♾️).Give an example of a function f (x) that has one positive derivatives on the range (−1, 0) and a negative derivatives on the range (0, 1).Give an example of a function f (x) that has one positive derivative on (−1,0) and a negative derivative on (0,1).