9 Nov 2021
Problem 28a
Page 508
Section 7.2: Direction Fields and Euler's Method
Chapter 7: Differential Equations
Textbook ExpertVerified Tutor
9 Nov 2021
Given information
The temperature of the coffee initially was 95 and room temperature is 20.
The coffee cools at 1 per minute when its temperature is 70.
Step-by-step explanation
Step 1.
According to Newton’s law of cooling .
is ambient temperature, K is constant and T(t) is the temperature of the object at time t.
Substitute into .
Also, when T=70.
so,