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A quantum sensor’s signal-to-noise ratio (SNR) is modeled by \( R(t) = 3t^2 - 12t + 15 \), where \(t\) is time in seconds. What is the minimum SNR achieved during operation?
The function \( R(t) = 3t^2 - 12t + 15 \) is a quadratic in standard form \( at^2 + bt + c \), with \( a = 3 > 0 \), so it opens upwards and has a minimum at its vertex.

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