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3 June, 07:52

A forest fire covers 1600 acres at time t=0. the fire is growing at a rate of 9/sqrt{t} acres per hour, where t is in hours. how many acres are covered 16 hours later?

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  1. 3 June, 10:19
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    To solve this problem you must apply the proccedure shown below:

    1. You have that the forest fire covers 1600 acres at time t=0. the fire is growing at a rate of 9√t acres per hour. Therefore, you have:

    1600+∫ (9√t) dt (from 0 to 16)

    2. Then, when you solve it, you obtain:

    1600+6t^3/2=1984

    3. Therefore, as you can see, the answer is: 1984 acres.
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