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    The population of an island, t hours after midday is given by

    p = 1000e^kt

    where k is constant.

    Given that when t = 0, the rate of change of the population with respect to time is 100 per hour.

    a. find k

    b. find the population of insects on the island when t = 6. Give answer to 3 significant figures.
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    just so you know, when it talks about time, its always dx/dt or whatever.
 
 
 
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