A disease has hit a city. The percentage of the population infected t days after the disease arrives is approximated by ​p(t)=9te−t/11 for 0≤t≤44. After how many days is the percentage of infected people a​ maximum? What is the maximum percent of the population​ infected?

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A disease has hit a city. The percentage of the population infected t days after the disease arrives is approximated by

​p(t)=9te−t/11

for

0≤t≤44.

After how many days is the percentage of infected people a​ maximum? What is the maximum percent of the population​ infected?

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