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A hot cup of tea is cooling in a room with a certain temperature. At =0 , the temperature is 210 F. The rate at
A hot cup of tea is cooling in a room with a certain temperature. At =0 , the temperature is 210 F. The rate at which the temperature drops is modeled by a continuous function over the time interval 08 . Here, () is measured in Fahrenheit per minute, and is measured in minutes. The table below displays selected values of () at different times . ()05.614.332.73.52.251.680.7 (a) (2 points) Calculate the left endpoint Riemann sum with 5 sub-intervals using the table provided above. Please note that the sizes of the sub-intervals are not uniform. (b) (2 points) Calculate the right endpoint Riemann sum with 5 sub-intervals using the table provided above. Please note that the sizes of the sub-intervals are not uniform. (c) (2 points) Considering parts (a) and (b), what conclusion can be drawn about the temperature of the tea after 8 minutes? It is recommended to drink tea if its temperature is lower than 160 F, is it safe to drink this tea after 8 minutes
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