Shinichi Kudo discovered a dead body in a room at midnight with a temperature of 20oC. Since the guest house where the room was located is far from the town, Inspector Megure arrived one hour, 34 minutes and 28 seconds later, and the temperature of the dead body dropped to 18oC. Shinichi noticed that the room temperature is kept constant at 16oC. By recalling some differential equations he learned from the Professor, he was able to estimate the time of death of the corpse. When did the victim died? Express your answer in HH:MM format.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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Shinichi Kudo discovered a dead body in a room at midnight with a temperature of 20oC. Since the guest house where the room was located is far from the town, Inspector Megure arrived one hour, 34 minutes and 28 seconds later, and the temperature of the dead body dropped to 18oC. Shinichi noticed that the room temperature is kept constant at 16oC. By recalling some differential equations he learned from the Professor, he was able to estimate the time of death of the corpse. When did the victim died? Express your answer in HH:MM format.

 

choices:

8:14 PM

7:15 PM

9:30 PM

6:23 PM

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