Solve for K- cooling Constant T(t)=T3+(To-Ts)ekt Ts e-kt=T(t)- To-Ts T(t) T(t)-Ts In e-kt=In- То-Ts T(t)-Ts -kt=ln То-Ts 1 Ts k=- t In T(t) To-Ts

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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Please explain on how to derive it I can't get it please step by step explanation
Solve for K- cooling Constant
T(t)=Ts+(To-Ts)e-kt
Ts
e-kt=T(t)-
То-Ts T(t)
T(t)-Ts
In e-kt=ln-
То-Ts
T(t)-Ts
-kt=ln
То-Ts
1
Ts
k=--
t In T(t) To-Ts
Transcribed Image Text:Solve for K- cooling Constant T(t)=Ts+(To-Ts)e-kt Ts e-kt=T(t)- То-Ts T(t) T(t)-Ts In e-kt=ln- То-Ts T(t)-Ts -kt=ln То-Ts 1 Ts k=-- t In T(t) To-Ts
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