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The population of a colony of mosquitoes obeys the law of uninhibited growth. Use this information to answer parts K (a) through (c) (a) If N is the population of the colony and t is the time in days, express N as a function of t. Consider No is the original amount at t =0 and k #0 is a constant that represents the growth rate. N(1) = Noek (Type an expression using t as the variable and in terms of e.) (b) The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there are 1300 after 1 day, what is the size of the colony after 3 days? Approximately mosquitoes (Do not round until the final answer. Then round to the nearest whole number as needed.)