Newton's law of cooling states that for a cooling substance with initial temperature To, the temperature T(t) after t minutes can be modeled by the equation T(t) = T, + (To – T,)e-kt, where T, is the surrounding temperature and k is the substance's cooling rate. A liquid substance is heated to 80°C. Upon being removed from the heat, it cools to 60°C in 12 min. What is the substance's cooling rate when the surrounding air temperature is 50°C? Round the answer to four decimal places. O 0.0687 O 0.0732 O 0.0813 O 0.0916

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.