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A 1000 gallon tank initially full of water develops a leak at the bottom. Given that 500 gallons of water leak out in the first 30 minutes find the amount of water A(t) left in the tank t minutes after the leak develops if the water drains off at a rate proportional to the product of the time elapsed and the amount of water present.

a)

b)

c)

d)

e)

f) None of the above. A 1000 gallon tank initially full of water develops a leak at the bottom. Given that 500 gallons of water leak out in the first 30 minutes find the amount of water A(t) left in the tank t minutes after the leak develops if the water drains off at a rate proportional to the product of the time elapsed and the amount of water present.

a)

b)

c)

d)

e)

f) None of the above.

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