On TV crime shows, the time of death is often determined by taking the temperature of the liver. Newton's cooling law can be used to determine how long a body that has been left in a fixed temperature has been dead. Newton's heating-cooling law states that the rate of change in the temperature, H, is proportional to the difference between the object and the surrounding temperature. Let H(t) be the temperature of the body, and S be the surrounding temperature. If the outside temperature is 60 degrees and the body is 75 degrees, can you determine time of death just from this information if you know that normal body temperature is 98.6? O No, you need a rate of cooling for the particular body, and/or you need to take two measurements. O No, because Newton's law of cooling does not apply even if the outside temperature was constant. O Yes, but you would need a calculator and/or your calculus text book. O Yes, you have enough information and this information can be easily found without a calculator.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.CR: Chapter Review
Problem 13CC: Suppose that the initial mass of radioactive substance is m0 and the half-life of the substance is...
icon
Related questions
Question

Please explain how to solve, thank you!

On TV crime shows, the time of death is often determined by taking the temperature of the liver. Newton's cooling law can be used to
determine how long a body that has been left in a fixed temperature has been dead. Newton's heating-cooling law states that the rate
of change in the temperature, H, is proportional to the difference between the object and the surrounding temperature. Let H(t)be
the temperature of the body, and S be the surrounding temperature.
If the outside temperature is 60 degrees and the body is 75 degrees, can you determine time of death just from this information if you
know that normal body temperature is 98.6?
No, you need a rate of cooling for the particular body, and/or you need to take two measurements.
No, because Newton's law of cooling does not apply even if the outside temperature was constant.
Yes, but you would need a calculator and/or your calculus text book.
Yes, you have enough information and this information can be easily found without a calculator.
Transcribed Image Text:On TV crime shows, the time of death is often determined by taking the temperature of the liver. Newton's cooling law can be used to determine how long a body that has been left in a fixed temperature has been dead. Newton's heating-cooling law states that the rate of change in the temperature, H, is proportional to the difference between the object and the surrounding temperature. Let H(t)be the temperature of the body, and S be the surrounding temperature. If the outside temperature is 60 degrees and the body is 75 degrees, can you determine time of death just from this information if you know that normal body temperature is 98.6? No, you need a rate of cooling for the particular body, and/or you need to take two measurements. No, because Newton's law of cooling does not apply even if the outside temperature was constant. Yes, but you would need a calculator and/or your calculus text book. Yes, you have enough information and this information can be easily found without a calculator.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell