AIR PURIFICATION To test air purifiers, engineers ran a purifier in a smoke-filled 10-ft X 20-ft room. While con- ducting a test

Question

AIR PURIFICATION To test air purifiers, engineers ran a purifier in a smoke-filled 10-ft X 20-ft room. While con- ducting a test for a certain brand of air purifier, they
determined that the amount of smoke in the room was decreasing at the rate of
R(t) = 0.00032t4 -0.01872t³ + 0.39481²
- 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? 10 min after the start of the test?

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