\( \int _ { | z + 2 i | = 1 } \frac { ( z ^ { 2 } + 3 ) e ^ { z } } { z } d z \)

Question 3 (4 points) For the following exercises, use this scenario: A pot of boiling soup with an internal temperature of \( 191^{\circ} \) Fahrenheit was taken off the stove to cool in a \( 66^{\circ} \mathrm{F} \) room. After 16 minutes, the internal temperature of the soup was \( 94^{\circ} \mathrm{F} \), how long will it take the soup models this situation too cool to \( 79^{\circ} \mathrm{F} \) ? (round to 2 decimal place)

Evaluate the limit with either L'Hôpital's rule or previously learned m \( \lim _{x \rightarrow \frac{\pi}{2}} \frac{\cos (x)}{\frac{\pi}{2}-x}=\square \)

Determine whether the integral is convergent or divergent. If it is convergent, el Round to two decimal places, if necessary. \( \int_{2}^{\infty} \frac{\ln (x)}{x} d x \) Convergent: Divergent

Find the limit of the sequence as \( n \) approaches infinity. \( a_{n}=\frac{8 n-4}{5 n+5} \)

Question 3 ( 4 points) For the following exercises, use this scenario: A pot of boiling soup with an internal temperature of \( 191^{\circ} \) Fahrenheit was taken off the stove to cool in a \( 66^{\circ} \mathrm{Froom} \). After 16 minutes, the internal temperature of the soup was \( 94^{\circ} \mathrm{F} \), how long will it take the soup models this situation too cool to \( 79^{\circ} \mathrm{F} \) ? (round to 2 decimal place) Your Answer: