## Question

###### These exercises use Newton’s Law of Cooling. A hot bowl of soup is served at a dinner party. It starts to cool according to Newton's Law of Cooling so that its temperature at time $t$ is given by $$T(t)=65+145 e^{-0.05 t}$$ where $t$ is measured in minutes and $T$ is measured in $^{\circ} \mathrm{F}$. (a) What is the initial temperature of the soup? (b) What is the temperature after 10 min? (c) After how long will the temperature be $100^{\circ} \mathrm{F} ?$

These exercises use Newton’s Law of Cooling. A hot bowl of soup is served at a dinner party. It starts to cool according to Newton's Law of Cooling so that its temperature at time $t$ is given by $$T(t)=65+145 e^{-0.05 t}$$ where $t$ is measured in minutes and $T$ is measured in $^{\circ} \mathrm{F}$. (a) What is the initial temperature of the soup? (b) What is the temperature after 10 min? (c) After how long will the temperature be $100^{\circ} \mathrm{F} ?$

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