In an experiment, a test tube containing a chemical is immersed in a water bath. At 1 = 0, the temperature, H (t) of the chemical in the test tube is 27°C. The controlled temperature (measured in degrees Celcius) of the water bath is H, (t) = 38 – 22e-0.1, 1>0, where t is measured in minutes. Referring to the Newton's empirical law = k (H – H„), where k is the proportionality constant assumed to be -0.1 per minute, answer the following questions: In words, discuss the profile of the temperature H (1) in the short term AND in the long term (Calculation is not needed). (i) Solve this initial value problem.
In an experiment, a test tube containing a chemical is immersed in a water bath. At 1 = 0, the temperature, H (t) of the chemical in the test tube is 27°C. The controlled temperature (measured in degrees Celcius) of the water bath is H, (t) = 38 – 22e-0.1, 1>0, where t is measured in minutes. Referring to the Newton's empirical law = k (H – H„), where k is the proportionality constant assumed to be -0.1 per minute, answer the following questions: In words, discuss the profile of the temperature H (1) in the short term AND in the long term (Calculation is not needed). (i) Solve this initial value problem.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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