4. One bucket starts at noon with two liters of water, and water is gradually leaking out at a rate of 3/1000 liters per minute. A second bucket starts at noon with three liters of water, but water is...

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Extracted text: 4. One bucket starts at noon with two liters of water, and water is gradually leaking out at a rate of 3/1000 liters per minute. A second bucket starts at noon with three liters of water, but water is leaking out at a faster rate of 9/1000 liters per minute. When will the two buckets have the same amount of water? 5. The amount of a radioactive substance A is an exponential function of time t. Every 20 minutes, the amount of the substance decreases by exactly 2.8%, and at time t = 0 minutes, there are 100 milligrams of the substance. ( So at time t = 20, there will be exactly 97.2 milligrams of the substance ) (a) Find an equation showing how A depends on t (b) By what percentage will the amount of the substance decrease from t = 0 to t = 200 minutes ? (c) At what time will there be only 1 milligram of the substance ? 6. Suppose the following limit information is known about a function F: lim F(x) = -T/2 lim F(x) : lim (F(x) – 3x) = 0 = -0 %3D x -00 x→-2+ x 00 According to the information, write down equations of asymptotes to the graph of F.