From the Newton's law of cooling, the cooling rate of a body is proportional to the difference between the temperature of a body and the surrounding medium according dT =-k(T – M), where T is the temperature of the body dt to the differential equation at any time t and M is the temperature of the surrounding medium (constant). If the original temperature of a body is 100 C, the temperature surrounding is 20' Cand the body cools to 70 Cin 10 minutes, show that T = 20+80e . Find: a. The temperature after 20 minutes. b. The time taken to reach 60 C.
From the Newton's law of cooling, the cooling rate of a body is proportional to the difference between the temperature of a body and the surrounding medium according dT =-k(T – M), where T is the temperature of the body dt to the differential equation at any time t and M is the temperature of the surrounding medium (constant). If the original temperature of a body is 100 C, the temperature surrounding is 20' Cand the body cools to 70 Cin 10 minutes, show that T = 20+80e . Find: a. The temperature after 20 minutes. b. The time taken to reach 60 C.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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