Some food is placed in a freezer. After $$ t $$ hours, the temperature of the food is dropping at the rate of $$ r(t) $$ degrees Fahrenheit per hour, where $$ r(t)=13+\frac{4}{(t+2)^{2}} $$. (a) Compute the area under the graph of $$ y=r(t) $$ over the interval $$ 0 \leq t \leq 3 $$. (b) What does the area in part (a) represent? (a) Write an integral in terms of $$ t $$ that can be evaluated to find the area under $$ y=r(t) $$ over the interval $$ 0 \leq t \leq 3 $$. Adt

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Moran Garza · Accepted Answer

The integral to find the area is $$ \int_{0}^{3} r(t) \, dt $$. The area represents the total temperature change over 3 hours.

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