Problem 1 Larry has a hot pot of water initially at 95 degrees celsius and in...

Problem 1

Larry has a hot pot of water initially at 95 degrees celsius and in just 5 minutes it cools to 80 degrees celsius while he is watching TV in a room of temperature 21 degrees celsius. Use Newton's law of cooling to determine when the temperature of the pot will reach 50 degrees celsius.

Problem 2

After 1 year from 2015, a country's cumulative exports were estimated to be $8 million. Economist in that country are now trying to estimate the country's cumulative exports in year 2026, if the country's cumulative exports grow in proportion to its average size over the last t years, plus a fixed growth rate of 10.

Can you help these economists to figure out the country's cumulative exports in year 2026 by first finding the general formula for the country's cumulative exports y(t) (in millions of dollars)? (Assume that the constant of proportionality is equal to 1)

Solutions

Expert Solution

Colby Messinger answered 1 year ago

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