Problem 1
Larry has a hot pot of water initially at 95 degrees celsius andin just 5 minutes it cools to 80 degrees celsius while he iswatching TV in a room of temperature 21 degrees celsius. UseNewton's law of cooling to determine when the temperature of thepot will reach 50 degrees celsius.
Problem 2
After 1 year from 2015, a country's cumulative exports wereestimated to be $8 million. Economist in that country are nowtrying to estimate the country's cumulative exports in year 2026,if the country's cumulative exports grow in proportion to itsaverage size over the last t years, plus a fixed growthrate of 10.
Can you help these economists to figure out the country'scumulative exports in year 2026 by first finding the generalformula for the country's cumulative exports y(t) (in millions ofdollars)? (Assume that the constant of proportionality is equal to1)
