An object, whose temperature is 100 degrees Fahrenheit is thrown into a swimming pool where the water is 50 degrees Fahrenheit. According to Newton's Law of cooling the rate at which the temperature of the object changes is proportional to the difference between the temprature of the object and the temprature of the water. (A) Write the differential equation for this problem and solve it  I know that the formula is dT/dt=K(T-Tm) How do I solve the differential equation? (B) It is observed that 5 seconds after the object enters the pool, the temprature of the object is 90 degrees Fahrenheit. When will the object's temprature be at 60 degrees Fahrenheit?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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An object, whose temperature is 100 degrees Fahrenheit is thrown into a swimming pool where the water is 50 degrees Fahrenheit. According to Newton's Law of cooling the rate at which the temperature of the object changes is proportional to the difference between the temprature of the object and the temprature of the water. 
(A) Write the differential equation for this problem and solve it 

I know that the formula is dT/dt=K(T-Tm)

How do I solve the differential equation?

(B) It is observed that 5 seconds after the object enters the pool, the temprature of the object is 90 degrees Fahrenheit. When will the object's temprature be at 60 degrees Fahrenheit? 

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