A body was found at 10 a.m. in a warehouse where the temperature was 40 degrees * F . The medical examiner found the temperature of the body to be 75 °F. It is know that the average human body temperature is 98.6 degrees * F . Assuming the body temperature follows Newton's Law of Cooling CRIME SCENE DO CROSS T(t)=T s +D 0 e^ -kt (2) with constant k found in part (a) , determine the approximate time of death. Remark : if you did not find the constant k in part (a ) , use this number : k = 0.1947 . This number is not the same as in part ( a ).

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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.