3. (Extra) The Department of Health in a developing country has issued a warning that the number, N, of reported cases of a certain disease is increasing exponentially at a rate of 10% per year. The first year that statistics were collected, 5000 cases were reported. (a) Find the relative growth rate k when written a function relating the number, N, of cases reported after t years in a form of N(t) = No e“, where t is no. of years after the first data collected. (b) Estimate the number of cases reported after 5 years using the function developed in (a). (c) Estimate the number of years, to the nearest tenth, required for the number of reported cases to rise to 11,000.

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