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A hot air balloon can gold 90,00 cubic feet of air.A hot airballoon can hold 90,000 cubic feet of air. It is being inflated at a rate of 6,000 cubic feet per minute. The total cubic feet of air a(t) is a function of the time in the minutes t.

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the Given:

The hot air balloon is inflated at a rate of 6000 cubic feet.

Let f(t) be the function representing total amount of air for time t.

The function is given as,


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