A bottle of
milkmilk
initially has a temperature of
7575degrees°F.
It is left to cool in a refrigerator that has a temperatureof
4545degrees°F.
After 10 minutes the temperature of the
milkmilk
is
5757degrees°F.
a. Use​ Newton's Law of​ Cooling,
Upper T equals Upper C plus left parenthesis Upper T 0 minusUpper C right parenthesis e Superscript ktT=C+T0−Cekt​,
to find a model for the temperature of the
milkmilk​,
T​,
after t minutes.
T | ​= | Upper C plus left parenthesis Upper T 0 minus Upper C rightparenthesis e Superscript ktC+T0−Cekt | | |
T | ​= | 45 plus left parenthesis 30 right parenthesis e Superscriptnothing t45+(30)e t | left arrow↠| Solve for k and enter the answer |
| | ​(Round to four decimal​ places.) |
b. What is the temperature of the
milkmilk
after 15​ minutes?
Tequals=nothingdegrees°F
​(Type an integer. Round to nearest​ degree.)
c. When will the temperature of the
milkmilk
be
5252degrees°​F?
tequals=nothing
minutes
