Need help with Newton's Law of Cooling math problem

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A detective discovers a murder victim at 9 AM with a body temperature of 90.3°F, which drops to 89.0°F after one hour, while the room temperature remains constant at 68°F. The poster initially calculated the time of death to be 0.229 hours but questioned the validity of this result, suspecting it should be negative. After further review, the poster identified an error in their calculations. The discussion highlights the application of Newton's Law of Cooling to estimate the time of death based on temperature changes. The issue was resolved, indicating the importance of careful calculation in such problems.
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A detective finds a murder victim at 9 AM. The temperature of the body is measured at 90.3-degrees Fahrenheit. One hour later the temperature of the body is 89.0-degrees Fahrenheit. The temperature of the room has been maintained at a constant temperature of 68-degrees Fahrenheit. Estimate the time the murder occurs. I went through the problem and got a time of .229 hours but I'm not sure that number makes sense since shouldn't I be getting a negative number? Please help! Thank you.
 
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Nvm everyone. I was able to find my error!
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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