Extending from the exponential growth and decay model is a special case called Newtown Law of Cooling. This is part of the Prelim Maths Extension 1 Syllabus from the topic Calculus: Rates of Change. In this post, we will explore Exponential growth and decay Newtowns Law of cooling. Here we will learn to establish the modified exponential model, \frac{dN}{dt} = k(N − P), for dealing with problems such as ‘Newton’s Law of Cooling’ or an ecosystem with a natural ‘carrying capacity.
Let’s see some real examples of this application!
Part 1
