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15.07.2019 •
Mathematics
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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Ответ:
p(t) = t·(t+5)
a. The average rate of change (r) on the interval [0, 5] is
r = (p(5) - p(0))/(5 - 0)
r = (5·(5+5) - 0·(0+5))/5
r = 10 . . . . percent per day
b. Differentiating the equation, you have
p'(t) = 2t + 5
Evaluating that at t=2 gives
p'(2) = 2·2 + 5 = 9 . . . . . percent per day, instantaneous rate at t=2
Interpretation: on day 2, the rate of infection is 9% of the population per day.
Ответ:
4 Divided by 5 = 0.8 Now the Question was >>>>>> replace 4/5 to 0.8 ? 0.8 = 0.8 = 0.8
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