Concept explainers
LIFE SCIENCE APPLICATIONS
Bacterial Growth A population of E. coli bacteria will grow at a rate given by,
where
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Calculus For The Life Sciences
- LIFE SCIENCE APPLICATION Water Level A trough has a triangular cross section. The trough is 6 ft across the top, 6 ft deep, and 16 ft long. Water is being pumped into the trough at the rate of 4 ft; per minute. Find the rate at which the height of the water is increasing at the instant that the height is 4 ft.arrow_forwardLIFE SCIENCE APPLICATIONS Growth of a Population The rate of growth of a microbe population is given by m(t)=27te3t Where t is time in days. What is the total accumulated growth during the first 2 days?arrow_forwardWaterWater flows into a tank, and a certain part of it drains out through a valve. The volume v in cubic feet of water in the tank at time t satisfies the equation dvdt=5(v/3). If the process continues for a long time, how much water will be in the tank?arrow_forward
- Use the total differential to approximate each quantity. Then use a calculator to approximate the quantity, and give the absolute value of the differences in the two results to 4decimal places. 0.98e0.04.arrow_forwardA 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?arrow_forward
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