Water at 90 °C is left to cool in a room whose temperature is 25 °C

MATHEMATICS · Subjective · AP · Calculus AB · Differential Equations · Differential Equations

Problem

Water at 90 °C is left to cool in a room whose temperature is 25 °C. After 5 minutes its temperature is 70 °C. Calculate the cooling constant

k

(in

\text{min}^{-1}

) correct to three decimal places.