Pollution. The concentration of particulate matter (in parts per million) t hours after a factory ceases operation for the day is given by C ( t ) = 20 ln ( t + 1 ) ( t + 1 ) 2 Find the average concentration for the period from t = 0 to t = 5.
Pollution. The concentration of particulate matter (in parts per million) t hours after a factory ceases operation for the day is given by C ( t ) = 20 ln ( t + 1 ) ( t + 1 ) 2 Find the average concentration for the period from t = 0 to t = 5.
Solution Summary: The formula to find the average for a function f(x) for the period from T=0tot=5 is
–0.05?
The number (t) of new cases of a flu outbreak for a given city is given by N (t) = 3500·2
where t is the number of months since the outbreak began.
(a) Find the average rate of change in the number of new flu cases between months 0 and 2, and interpret the result. (Round to the nearest whole unit.)
(b) Find the average rate of change in the number of new flu cases between months 4 and 6, and between months 10 and 12. (Round to the nearest whole
unit.)
(c) Use a graphing utility to graph the function. Use the graph and the average rates of change found in parts (a) and (b) to discuss the pattern of the number
of new flu cases.
Part: 0 / 4
Part 1 of 4
(a) The average rate of change in the number of new flu cases between months 0 and 2 is approximately -227
The number of new flu cases dropped
by approximately 453
cases per month during this time interval.
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