Question

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)

Answer #1

1. Use Euler’s method with step size ∆x = 1 to approximate y(4),
where y(x) is the solution of the initial value problem:
y' = x2+ xy
y(0) = 1
2. 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...

Q5 The coroner arrives at the scene of the murder at 2 A.M. She
takes the temperature of the body and finds it to be 61.6 degree.
She waits 1 hour, takes the temperature again, and finds it to be
57.2 degree. The body is in a meat freezer, where the room
temperature is 10 degree. When was the murder committed?

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...

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...

If the temperature difference DT between an object and
it surroundings is not too great, the rate of cooling or warming
obeys Newton’s Law of Cooling,
d(DT)/dt = – K DT
where K is a constant. (a) Why is there a
minus sign on the right-hand side of the equation? (b) On
what factors does K depend and what are its units?
(c) It DTo is the temperature difference
at time to, what is the temperature difference at
time t...

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....

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