The room is very cool at a constant temperature of 5°C. While doing an autopsy early one morning on a murder victim, Doctor is killed and the cadaver that he is dissecting is stolen. At 10 a.m., the doctor’s assistant discovers his body and finds its temperature to be 23°C, and at noon the body’s temperature is down to 18.5°C. Assuming the doctor had a normal temperature of 37°C when he was alive, when was he murdered? Use Newton’s of Cooling(Differential Equation)

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...
icon
Related questions
Question
100%

The room is very cool at a constant temperature of 5°C. While doing an autopsy early one morning on a murder victim, Doctor is killed and the cadaver that he is dissecting is stolen. At 10 a.m., the doctor’s assistant discovers his body and finds its temperature to be 23°C, and at noon the body’s temperature is down to 18.5°C. Assuming the doctor had a normal temperature of 37°C when he was alive, when was he murdered? Use Newton’s of Cooling(Differential Equation)

Differential Equation:
dT
= k(T – Tm)
dt
Where:
dT
dt rate at which temperature changes
(Zill)
t = time
k = constant of proportionality
room temperature
Solution to the Differential Equation:
T(t) = Cekt + Tm
Where:
(Zill)
T(t) = temperature of the object at time t
C = constant
Transcribed Image Text:Differential Equation: dT = k(T – Tm) dt Where: dT dt rate at which temperature changes (Zill) t = time k = constant of proportionality room temperature Solution to the Differential Equation: T(t) = Cekt + Tm Where: (Zill) T(t) = temperature of the object at time t C = constant
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning