5. Determine the half-range sine series expansion of the following: f(t) = t² + t, A. B. C. D. y = 4 = 4 Σ[(C05 y = 4 ΣΙ n=1 y n=1 y = 4 4Σ ( n=1 сos nπ nπ сOS nπ (nπ)³ сos nπ (nπ)² + = 4 Σ[(-²-² n=1 сos nπ nπ соs nл + 1 (nn)³ + 0 < t < 1 + COS Nπ nπ соs nл + 1 (nπ)³ COS Nπ- (nπ)³ 1 1 sin nët nnt] sin nat sin not sin nat

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