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13 Nov 2019
(3 points) Newton's Law of object and its surroundings. Suppose t is time, T is the temperature of the object, and T, is the surrounding temperature. The following differential equation describes Newton's Law dt where k is a constant. Suppose that we consider a 90°C cup of coffee in a 18â room. Suppose it is known that the coffee cools at a rate of 1°C/min. when it is 70'C. Answer the following questions. 1. Find the Answer (in per minute): k = 2. What is the limiting value of the temperature? Answer (in Celsius): T = k in the differential equation. 3. Use Euler's method with step size h 2 minutes to estimate the temperature of the coffee after 10 minutes. Answer (in Celsius): T(10) A
(3 points) Newton's Law of object and its surroundings. Suppose t is time, T is the temperature of the object, and T, is the surrounding temperature. The following differential equation describes Newton's Law dt where k is a constant. Suppose that we consider a 90°C cup of coffee in a 18â room. Suppose it is known that the coffee cools at a rate of 1°C/min. when it is 70'C. Answer the following questions. 1. Find the Answer (in per minute): k = 2. What is the limiting value of the temperature? Answer (in Celsius): T = k in the differential equation. 3. Use Euler's method with step size h 2 minutes to estimate the temperature of the coffee after 10 minutes. Answer (in Celsius): T(10) A
Jamar FerryLv2
26 Apr 2019