Ejercicio repaso calculo, Ejercicios de Cálculo diferencial y integral

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22. Cerebral blood flow Models for the arterial and venous concentration functions in Figure 8 are given by 0.051? 0.051? 0 1 VO 7 (a) Find the area between the graphs of A and V for 0=1=<10. (b) If the volume of N20 absorbed by the brain in the first 10 minutes is 60 mL, determine the cerebral blood flow. 25. Birth and death rates If the birth rate of a population is b(t) = 2200e*”* people per year and the death rate is d(t) = 1460e””* people per year, find the area between these curves for O <= 1 < 10. What does this area represent? 15. The population of Indonesia from 1950 to 2000 has been modeled with the function P(t) = 830%" where P is measured in millions and t is measured in years with 1 = 0 in the year 1950. What was the average population of Indonesia in the second half of the 20th century? 17. Measles pathogenesis In Section 5.1 we modeled the infection level of the measles virus in a patient by the function f(1) = —1(1 — 21)(1 + 1) where 1 is measured in days and f(1) is measured in the number of infected cells per mL of blood plasma. Over the course of the 21-day infection, what is the average level of infection?