The temperature (in ) of a reaction mixture after minutes is given by T(t)=20+5 (1+2t)

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

The temperature TT (in ∘C^{\circ}\text{C}) of a reaction mixture after tt minutes is given by T(t)=20+5ln⁡(1+2t).T(t)=20+5\ln(1+2t). Determine the average rate of change of the temperature over the interval 2≤t≤62\le t\le 6 minutes. (a) 1.11 ∘C/min1.11\ ^{\circ}\text{C}/\text{min} (b) 1.38 ∘C/min1.38\ ^{\circ}\text{C}/\text{min} (c) 0.80 ∘C/min0.80\ ^{\circ}\text{C}/\text{min} (d) 1.19 ∘C/min1.19\ ^{\circ}\text{C}/\text{min}

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