Percent of the original amount of the smoke per minute t


Question: AIR PURIFICATION To test air purifiers, engineers ran a purifier in a smoke-filled 10-ft × 20-ft room. While conducting a test for a certain brand of air purifier, it was determined that the amount of smoke in the room was decreasing at the rate of

R(t) = 0.00032t4 - 0.01872t3 + 0.3948t2 - 3.83t + 17.63   (0 ≤ t ≤ 20)

Percent of the (original) amount of the smoke per minute, t min after the start of the test. How much smoke was left in the room 5 min after the start of the test? Ten min after the start of the test ?

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Mathematics: Percent of the original amount of the smoke per minute t
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