Question

According to a model developed by a public health group, the number of people N(t)N(t), in hundreds, who will be ill with the Asian flu at any time tt, in days, next flu season is described by the situation

N(t)=50+65t−140t2N(t)=50+65t-140t2

where t=0t=0 corresponds to the beginning of December. Find the date when the flu will have reached its peak and state the number of people who will have the flu on that date.

Hint: t=0t=0 is December 1st, so t=1t=1 is actually December 2nd. Round up your 2nd answer to the nearest hundred people. For instance, for an answer of 25.2, input 26.

It reaches its peak on Select an answer December January February   and infects  hundred people.

Answer 1

To see the peak of N(t), we can differentiate N(t) wrt t and equate to 0

Hence as t=0.23, we need to consider 1

Hence, we can say that the peak is on Dec 2nd and N(t)=57.55*100=5755 members