et P = f(t) = 10+ e 0


et<br>P = f(t) =<br>10+ e<br>0<t< 5,<br>gives the fraction of the population of a town infected with a virus at time t,<br>where t is the number of months since the start of the year 2021.<br>(a) Draw an accurate graph of the function P = f(t). Use technology to<br>help.<br>(b) What are the units of the derivative dP/dt?<br>(c) Suppose the town has a population of 540, 000. At what rate is the<br>virus spreading at the start of 2021?<br>

Extracted text: et P = f(t) = 10+ e 0<>< 5,="" gives="" the="" fraction="" of="" the="" population="" of="" a="" town="" infected="" with="" a="" virus="" at="" time="" t,="" where="" t="" is="" the="" number="" of="" months="" since="" the="" start="" of="" the="" year="" 2021.="" (a)="" draw="" an="" accurate="" graph="" of="" the="" function="" p="f(t)." use="" technology="" to="" help.="" (b)="" what="" are="" the="" units="" of="" the="" derivative="" dp/dt?="" (c)="" suppose="" the="" town="" has="" a="" population="" of="" 540,="" 000.="" at="" what="" rate="" is="" the="" virus="" spreading="" at="" the="" start="" of="">

Jun 03, 2022
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