The temperature of a metal rod (in degrees Celsius) after minutes is modeled by

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

The temperature of a metal rod (in degrees Celsius) after tt minutes is modeled by T(t)=tsin⁡t+20T(t)=t\sin t+20. Estimate the temperature at t=3.1t=3.1 minutes using information at t=3t=3 minutes. (a) 20.7120.71 (b) 20.3420.34 (c) 20.1420.14 (d) 20.1220.12

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