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13 Nov 2019
(3 points) Newton's Law of Cooling states that the rate of cooling of an object is proportional to the temperature difference between the object and its surroundings. Suppose t is time, T is the temperature of the object, and Ts is the surrounding temperature. The following differential equation describes Newton's Law dT =k(T-Tp. dt where k is a constant Suppose that we consider a 96â cup of coffee in a 16°C room. Suppose it is known that the coffee cools at a rate of IoC min when it is 70â. Answer the following questions. 1. Find the constant k in the differential equation. Answer (in per minute): k = 2. What is the limiting value of the temperature? Answer (in Celsius): T- 2 minutes to estimate the temperature of the coffee after 10 minutes. 3, Use Euler's method with step size h Answer (in Celsius): T(10) *
(3 points) Newton's Law of Cooling states that the rate of cooling of an object is proportional to the temperature difference between the object and its surroundings. Suppose t is time, T is the temperature of the object, and Ts is the surrounding temperature. The following differential equation describes Newton's Law dT =k(T-Tp. dt where k is a constant Suppose that we consider a 96â cup of coffee in a 16°C room. Suppose it is known that the coffee cools at a rate of IoC min when it is 70â. Answer the following questions. 1. Find the constant k in the differential equation. Answer (in per minute): k = 2. What is the limiting value of the temperature? Answer (in Celsius): T- 2 minutes to estimate the temperature of the coffee after 10 minutes. 3, Use Euler's method with step size h Answer (in Celsius): T(10) *
Nelly StrackeLv2
13 Mar 2019