It is estimated that t days after a virus begins to spread in a town, the percent of the population infected by the virus is approximated by p left parenthesis t right parenthesis equals t squared plus 5 tp(t)=t2+5t for 0 less than or equals t less than or equals 60≤t≤6. a. find the average rate of change of p with respect to t over the interval 1 to 55 days. b. find and interpret the instantaneous rate of change of p with respect to t at tequals=22.

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