Concept explainers
LIFE SCIENCE APPLICATIONS
Population Growth The rate of change of the population of a rare species of Australian spider for one year is given by
where
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Student's Solutions Manual for Calculus for the Life Sciences (2nd Edition)
- Flood Control A river is 8 feet above its flood stage. The water is receding at a rate of 3 inches per hour. Write a mathematical model that shows the number of feet above flood stage after t hours. Assuming the water continually recedes at this rate, when will the river be 1 foot above its flood stage?arrow_forwardradioactive Decay These exercises use the population radioactive Decay. Radioactive Radium The half life of radium 226 is 1600 years. Suppose we have a 22-mg sample. (a) Find a function m(t)=m02r/k that models mass remaining after t years. (b) Find a function m(t)=m0ert that models the remaining after t years. (c) How much of sample will remain after 4000 years? (d) After how many years Will only 18 mg Of sample remain?arrow_forwardradioactive Decay These exercises use the population radioactive Decay. Radioactive Cesium The half-life of cesium- 37 is 30 years. Suppose we have a sample. (a) Find a function m(t)=m0et/k that mass remaining after t years. (b) Find a function m(t)=m0ert that models the remaining after t years. (c) How much of sample Will remain after 80 years? (d) After how many years will only 2 g of the sample remain?arrow_forward
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