Concept explainers
Growth Models In Exercise 52 of section 1.5, the formula for the growth rate of a population in presence of a quantity
This was referred to as Michaelis-Menten kinetics.
a. Find the rate of change of the growth rate with respect to the amount of food.
b. The quantity A in the formula for
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Calculus For The Life Sciences
- The table shows the mid-year populations (in millions) of five countries in 2015 and the projected populations (in millions) for the year 2025. (a) Find the exponential growth or decay model y=aebt or y=aebt for the population of each country by letting t=15 correspond to 2015. Use the model to predict the population of each country in 2035. (b) You can see that the populations of the United States and the United Kingdom are growing at different rates. What constant in the equation y=aebt gives the growth rate? Discuss the relationship between the different growth rates and the magnitude of the constant.arrow_forwardIn the exponential growth or decay function y=y0ekt, what does y0 represent? What does k represent?arrow_forward
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