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- Use the table of values you made in part 4 of the example to find the limiting value of the average rate of change in velocity.A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the time read exactly 3:40 p.m. At this time, he started pumping gas into the tank. At exactly 3:44, the tank was full and he noticed that he had pumped 10.7 gallons. What is the average rate of flow of the gasoline into the gas tank?A stone dropped into a still pond sends out a circular ripple whose radius increases at a constant rate of 3.4 ft/s. (a) How rapidly is the area enclosed by the ripple increasing when the radius is 2 feet? (b) How rapidly is the area enclosed by the ripple increasing at the end of 6.2 seconds?
- A batter runs toward first base at 15 ft/s. At the same instant, a player on third base runs toward home at 30 ft/s. At what rate is the distance between the two players decreasing when the first player is a third of the way to first base? (Hint: draw the diamond as if you're sitting behind first base.)Suppose that a tumor in a person’s body has a spherical shape and that treatment is causing the volume of the tumor to decrease at a rate of 18pi mm3 /????ℎ. At what rate is the radius decreasing when it is 3mm?Suppose that a tumor in a person's body has a spherical shape and that treatment is causing the radius of the tumor to decrease at a rate of 1 millimeter per month. At what rate is the volume decreasing (in mm3/month) when the radius is 8 mm? _____ mm3/month
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