The following table gives the the approximate amount of emissions, E, of nitrogen oxides in millions of metric tons per year in the US. Let t be the number of years since 1940 and E = f(t). 1940 1950 1960 1970 1980|1990| 10 20 30 40 50 E 6.9 8.9 12.5 18.1 21.4 19.2 Estimate the integral: S f(t)dt = Be sure that you know what the units of your answer are, and what its meaning is! (Original data from the Statistical Abstract of the US, 1992)

The following table shows the cumulative number of cases of SARS (severe acute respiratory syndrome) on selected days during the outbreak in 2003. Here t is time in days since the beginning of April and N is the cumulative number of cases reported by time t.  t 19 22 24 29 N 3547 3947 4439 5642 Approximate the value of dN/dt at t=19 using the average rate of change from t=19 to t=22.a. 155.55 cases per dayb. 144.44 cases per dayc. 133.33 cases per dayd. 122.22 cases per day

Analysis 3: Based on the design of the antennas, the Standard Absorption Rate (SAR) of RF power by the patient tissue is expected to be as follows: SAR(t) = v2t + e0.1t+2 where, t is time in seconds. 1. Formulate a mathematical model for the dosage of exposure, D(t). Hint: the dosage is the area under the SAR curve. 2. Plot the SAR function for the first 80 seconds.

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