Science:Math Exam Resources/Courses/MATH100/December 2010/Question 02 (a)/Statement

Full-Solution Problems. In questions 2-8, justify your answers and show all your work. If a box is provided, write your final answer there. Simplification of answers is not required unless explicitly requested.

When an apple is taken from a refrigerator, its temperature is $3^{\circ }C$. After 30 minutes in a $19^{\circ }C$ room, its temperature is $11^{\circ }C$.

Assuming that the temperature of the apple satisfies Newton's Law of Cooling, write the differential equation satisfied by the temperature $T(t)$ of the apple at time t.