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Fish species growth For many species of fish, the weight W is a function of the length L that can be expressed by
Suppose that for a particular species k = 0.02, that for this species the length(in centimeters) is a function of the number of years t the fish has been alive, and that this function is given by
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- Radioactive Decay The half-life of radium-226 is 1590 years. (a)If a sample has a mass of 150 mg, find a function that models the mass that remains after tyears. (b)Find the mass that will remain after 1000 years. (c)After how many years will only 50 mg remain?arrow_forwardGrowth in Length of Haddock D.S. Raitt found that the length L of haddock in centimeters as a function of the age t in years is given approximately by the formula L=5342.820.82t a. Calculate L(4) and explain what it means. b. Compare the average yearly rate of growth in length from age 5 to age 10 years with the average yearly rate of growth from age 15 to age 20 years. Explain in practical terms what this tells you about the way haddock grow. c. What is the longest haddock you would expect to find anywhere?arrow_forwardCancer Insulation workers who were exposed to asbestos and employed before 1960 experienced an increased likelihood of lung cancer. If a group of insulation workers has a cumulative total of 100,000 years of work experience with their first date of employment t years ago, then the number of lung cancer causes occuring within the group can be modeled using the function Nt=0.00437t3.2. Find the rate of growth of the number of workers with lung cancer in a group as described by the following first dates of employment. Source: Observation and Inference: An Introduction to the Methods of Epidemiology. a. 5 years ago b. 10 years agoarrow_forward
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