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LIFE SCIENCES APPILICATIONS
Thermic Effect of Food As we saw in an earlier chapter, a person’s metabolic rate tends to go up after eating a meal and then, after some time has passed, it returns to a resting metabolic rate. This phenomenon is known as the thermic effect of food, and the effect (in kJ per hour) for one individual is
Where t is the number of hours that have elapsed since eating a meal. Source: American Journal of Clinical Nutrition. Find the total thermic energy of a meal for the next six hours after a meal by
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Calculus For The Life Sciences
- Eastern Pacific Yellowfin Tuna Studies to fit a logistic model to the Eastern Pacific yellowfin tuna population have yielded N=1481+36e2.61t where t is measured in years and N is measured in thousands of tons of fish. a. What is the r value for the Eastern Pacific yellowfin tuna? b. What is the carrying capacity K for the Eastern Pacific yellowfin tuna? c. What is the optimum yield level? d. Use your calculator to graph N versus t. e. At what time was the population growing the most rapidly?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_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_forward
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