Question

A coroner arrives on the scene of a homicide at 8:00 pm in a temperature-controlled room, held at 60^\circ F60 ∘ F. The temperature of the body is given by the function T(t)=27.4e^{-0.08t}+60T(t)=27.4e −0.08t +60, where tt is time in minutes since 8:00 pm.

1. Graph this function in an appropriate window and sketch below. (Please write and show the graph)

2. What happens to this function as time goes by? Why does this make sense?

3. Use the graph to approximate the time of death, assuming that normal body temperature is 98.6^\circ F98.6 ∘ F.

Answer #1

The coroner arrives at a murder scene at 9:00 pm. He immediately
determines that the temperature of the body is 83◦F. He waits one
hour and takes the temperature of the body again; it is 81◦F. The
room temperature is 68◦F. When was the murder
committed? Assume the man died with a body temperature
98◦F. (Hint: Newton’s Law of Cooling)

In
room Q-666 a student, at 8:00 AM, finds the murdered body of Mr.
Jones. The student takes the temperature of the body: 90 F. Two
hours later, the police determines the new temperature: 80 F. The
temperature of the room is constant 70 F. The normal temperature of
the living human being is 98.6 F. Determine the time approximate
death

police arrive at a murder scene at 1:30 am and immediately
record the body's temperature which was 93 degrees Fahrenheit. at
2:00 am, after thoroughly inspecting and fingerprinting the area,
they again took the temperature of the body which had dropped to 83
degrees F. the temperature of the crime scene has remained at a
constant 70 degrees F. Determine when the person was murdered.
(assume that the victim was healthy at the time of death. that is,
assume that...

This exercise uses Newton's Law of Cooling.
Newton's Law of Cooling is used in homicide investigations to
determine the time of death. The normal body temperature is 98.6°F.
Immediately following death, the body begins to cool. It has been
determined experimentally that the constant in Newton's Law of
Cooling is approximately k = 0.1947, assuming time is
measured in hours. Suppose that the temperature of the surroundings
is 55°F.
(a) Find a function T(t) that models the
temperature t hours after...

Murder Investigation: When a glass of wine with a certain
temperature is placed into a room, its temperature will converge to
the room’s temperature according to the formula:
F(t)=Fs+(F0-Fs) -.3t.
Where F(t) is the temperature of the object after being in the room
for t hours, F0 is the initial temperature of the object, and Fs is
the temperature of the room that the object is in. Use this formula
to investigate the scenario below and answer the following
questions....

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 17 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago