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Lerok [7]
3 years ago
12

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?
Mathematics
1 answer:
babymother [125]3 years ago
5 0
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<span> acres per hour. Therefore, you have:
</span>
 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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