Chapter 5.1, Problem 25E

The half-life of plutonium-244 is 80,000,000 years. Find function gives the amount of carbon-14 remaining as a function of time, measured in years.

High School Graduates The following table shows the number, in millions, graduating from high school in the United States in the given year. Year Number graduating in millions 1985 2.83 1987 2.65 1989 2.47 1991 2.29 a. By calculating difference, show that these data can be modeled using a linear function. b. What is the slope for the linear function modeling high school graduations? Explain in practical terms the meaning of the slope. c. Find a formula for a linear function that models these data. d. Express, using functional notation, the number graduating from high school in 1994, and then use your formula from part c to calculate that value.

For the experimental can described in Example 8, write the surfacearea as a function of (a) the radius r and (b) the height h.

What interval(s) is the function, 3x + 3x - 36 = f (x) %3D positive? 1. (- 00 ,-4) II. (-0.5, -36.75) II. (3, O I and III only Il only O l only O I, Il and III accounts pouoble

Differentiate the functions.