Solve the Problem $\mathrm { U } = \mathrm { T } + \left( \mathrm { U } _ { \mathrm { O } } - \mathrm { T } \right) \mathrm { e } ^ { \mathrm { kt } }$

question 20

Essay

Solve the problem.
-The temperature (in degrees Fahrenheit) of a dead body that has been cooling in a room set at 70° is measured
as 88°. One hour later, the body temperature is 87.5°. How long (to the nearest hour) before the first
measurement was the time of death, assuming that the body temperature of the deceased at the time of death
was 98.6°. Assume the cooling follows Newton's Law of Cooling: $\mathrm { U } = \mathrm { T } + \left( \mathrm { U } _ { \mathrm { O } } - \mathrm { T } \right) \mathrm { e } ^ { \mathrm { kt } }$

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Definitions:

Perfectly Inelastic

Describes a situation where the demand for a good does not change in response to a change in price.

Price Elasticity

A measure of how much the quantity demanded of a good responds to a change in the price of that good, defined as the percentage change in quantity demanded divided by the percentage change in price.

Demand Curve

A diagram displaying the connection between a product or service's price and the amount requested over a specified timeframe.

Price Elasticity

A gauge of the responsiveness of the amount of a product desired to alterations in its cost, reflecting demand's sensitivity to changes in price.