At a crime scene, a forensic technician found the body temperature of the victim was 33◦C at 6:00 p.m. One hour later, the coroner arrived and found the body temperature of the victim fell to 31.5◦C. The forensic technician determined that the change in the atmospheric temperature could be modeled satisfactorily as 20e−0.02 t in the time window of ±3 hours starting at 6:00 p.m. It is known that the body temperature of a live person is 37◦C. When was the victim murdered?
At a crime scene, a forensic technician found the body temperature of the victim was 33◦C at 6:00 p.m. One hour later, the coroner arrived and found the body temperature of the victim fell to 31.5◦C. The forensic technician determined that the change in the atmospheric temperature could be modeled satisfactorily as 20e−0.02 t in the time window of ±3 hours starting at 6:00 p.m. It is known that the body temperature of a live person is 37◦C. When was the victim murdered?
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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1 At a crime scene, a forensic technician found the body temperature of the
victim was 33◦C at 6:00 p.m. One hour later, the coroner arrived and found the
body temperature of the victim fell to 31.5◦C. The forensic technician determined
that the change in the atmospheric temperature could be modeled satisfactorily as
20e−0.02 t in the time window of ±3 hours starting at 6:00 p.m. It is known that
the body temperature of a live person is 37◦C. When was the victim murdered?
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