The population of a colony of mosquitoes obeys the law of uninhibited growth. Use this information to answer parts (a) through (c). Question content area bottom Part 1 (a) If N is the population of the colony and t is the time in days, express N as a function of t. Consider Upper N 0 is the original amount at tequals0 and knot equals0 is a constant that represents the growth rate. N(t)equals Upper N 0 e Superscript kt (Type an expression using t as the variable and in terms of e.) Part 2 (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 1000 e Superscript 1 mosquitoes (Do not round until the final answer. Then round to the nearest whole number as needed.) Part 3 (c) How long is it until there are 30 comma 000 mosquitoes? About 30 days