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The population of a colony of mosquitoes obeys the law of uninhibited growth. Use this information to answer parts (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(t) = Npekt (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 2197 mosquitoes (Do not round until the final answer. Then round to the nearest whole number as needed.) (c) How long is it until there are 50,000 mosquitoes? About days (Do not round until the final answer. Then round to the nearest tenth as needed.)