Over a period of time, a hot object cools to the temperature of the surrounding air. This is described mathematically by Newton's Law of Cooling T=C- (To -C) e - kt, where t is the time it takes for an object to cool from temperature To to temperature T, Cis the surrounding air temperature, and k is a positive constant that is associated with the cooling object. A cake removed from the oven has a temperature of 201'F and is left to cool in a room that has a temperature of 67"F. After 30 minutes, the temperature of the cake is 134'F. What is the temperature of the cake after 35 minutes? After 35 minutes, the temperature of the cake is'F. (Do not round until the final answer. Then round to the nearest whole number as needed.)

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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.