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Concept explainers
Oil Consumption Suppose that the rate of consumption of a natural resource is
a. Write
b. Set up a definite
c. Evaluate the definite integral of part b.
d. The company has about
e. Rework part d, assuming that
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Chapter 7 Solutions
Calculus For The Life Sciences
- bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.arrow_forwardThe kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?arrow_forwardThe 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_forward
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