1. A hot metal object is submerged in a large tank of water held at temperature 25° c. Let y(t) be the temperature of the object t minutes after it is submerged in water. Newton's Law of Cooling says that the temperature will change according to dy = -2(y – 25). dt Suppose the object was 150°C before submerging it in water. Find the function y(t). Do not present a solution based on a formula that you might be able to look up, show your own work here.
1. A hot metal object is submerged in a large tank of water held at temperature 25° c. Let y(t) be the temperature of the object t minutes after it is submerged in water. Newton's Law of Cooling says that the temperature will change according to dy = -2(y – 25). dt Suppose the object was 150°C before submerging it in water. Find the function y(t). Do not present a solution based on a formula that you might be able to look up, show your own work here.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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