I. SOLVE THE FOLLOWING PROBLEMS. 1. A silver bullet used to kill vampires in the late 19th century was found to be suspended in a constant temperature enclosure. It is found that the silver bullet's tempearture cools from 100°C to 90°c in S minutes and 82°C in the next five minutes. Calculate the temperature of the enclosure. 2. A body at 100°C warms at 120°C after 5 minutes in a surrounding at 30°C. At what time will ts temperature be double that at the beginning? 3. A certain substance has a decay rate proportional to amount present. It is observe that it has an initial amount of 100kg. After 2 years it is found that 30% of its original amount was decomposed. What percentage of this substance was

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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I1. SOLVE THE FOLLOWING PROBLEMS.
1. A silver bullet used to kill vampires in the late 19th century was found to be suspended in a constant temperature
enclosure. It is found that the silver bullet's tempearture cools from 100°C to 90°c in 5 minutes and 82°C in the next five
minutes, Calculate the temperature of the enclosure.
2. A body at 100°C warms at 120°C after 5 minutes in a surrounding at 30°C. At what time will ts temperature be double that
at the beginning?
3. A certain substance has a decay rate proportional to amount present. It is observe that it has an initial amount of 100kg.
After 2 years it is found that 30% of its original amount was decomposed. What percentage of this substance was
decomposed after 1 year and 3 months?
Transcribed Image Text:I1. SOLVE THE FOLLOWING PROBLEMS. 1. A silver bullet used to kill vampires in the late 19th century was found to be suspended in a constant temperature enclosure. It is found that the silver bullet's tempearture cools from 100°C to 90°c in 5 minutes and 82°C in the next five minutes, Calculate the temperature of the enclosure. 2. A body at 100°C warms at 120°C after 5 minutes in a surrounding at 30°C. At what time will ts temperature be double that at the beginning? 3. A certain substance has a decay rate proportional to amount present. It is observe that it has an initial amount of 100kg. After 2 years it is found that 30% of its original amount was decomposed. What percentage of this substance was decomposed after 1 year and 3 months?
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