Consider the following functions. f₁(x) = ex, f₂(x) = ex, f3(x) = sinh(x) g(x) = C₁f1(x) + C₂2(x) + C33(x) Solve for C₁, C₂, and c3 so that g(x) = 0 on the interval (-∞, ∞). If a nontrivial solution exists, state it. (If only the trivial solution exists, enter the trivial solution (0, 0, 0).) (C₁, C₂, C3) = -{[ Determine whether f1, f2, f3 are linearly independent on the interval (-∞, ∞). O linearly dependent O linearly independent.

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