Newton's Law of Cooling states that the rate at which an object cools is proportional to the difference in temperature between the object and the surrounding medium. Thus, if an object is taken from an oven at 309°F and left to cool in a room at 75°F, its temperature T after t hours will satisfy the differential equation dT = k(T – 75). dt If the temperature fell to 190°F in 0.6 hour(s), what will it be after 3 hour(s)? After 3 hour(s), the temperature will be degrees F.

Newton's Law of Cooling states that the rate at which an object cools is proportional to the difference in temperature between the object and the surrounding medium. Thus, if an object is taken from an oven at 309°F and left to cool in a room at 75°F, its temperature T after t hours will satisfy the differential equation dT = k(T – 75). dt If the temperature fell to 190°F in 0.6 hour(s), what will it be after 3 hour(s)? After 3 hour(s), the temperature will be degrees F.

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section3.5: Mathematical Modeling And Variation

Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...

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