For Exercises 1–3 , do the following. Graph the reproduction curve, the line y = P , and the harvest function using the same viewing window. Find the population at which the maximum sustainable harvest occurs. Use both a graphical solution and a calculus solution. Find the maximum sustainable harvest. f ( P ) = − 0.025 P 2 + 4 P , where P is measured in thousands. This is the reproduction curve in the Hudson Bay area for the snowshoe hare.
For Exercises 1–3 , do the following. Graph the reproduction curve, the line y = P , and the harvest function using the same viewing window. Find the population at which the maximum sustainable harvest occurs. Use both a graphical solution and a calculus solution. Find the maximum sustainable harvest. f ( P ) = − 0.025 P 2 + 4 P , where P is measured in thousands. This is the reproduction curve in the Hudson Bay area for the snowshoe hare.
World Military Expenditure The following chart shows total military and arms trade expenditure from 2011–2020 (t = 1 represents 2011).
†A bar graph titled "World military expenditure" has a horizontal t-axis labeled "Year since 2010" and a vertical axis labeled "$ (billions)". The bar graph has 10 bars. Each bar is associated with a label and an approximate value as listed below.
1: 1,800 billion dollars
2: 1,775 billion dollars
3: 1,750 billion dollars
4: 1,730 billion dollars
5: 1,760 billion dollars
6: 1,760 billion dollars
7: 1,850 billion dollars
8: 1,900 billion dollars
9: 1,950 billion dollars
10: 1,980 billion dollars
(a)
If you want to model the expenditure figures with a function of the form
f(t) = at2 + bt + c,
would you expect the coefficient a to be positive or negative? Why? HINT [See "Features of a Parabola" in this section.]
We would expect the coefficient to be positive because the curve is concave up.
We would expect the coefficient to be negative because the…
Cell Phones Using the CTIA Wireless Survey for1985–2009, the number of U.S. cell phone subscribers (in millions) can be modeled byy = 0.632x2 - 2.651x + 1.209where x is the number of years after 1985.a. Graphically find when the number of U.S.subscribers was 301,617,000.b. When does the model estimate that the number ofU.S. subscribers would reach 359,515,000?c. What does the answer to (b) tell about this model?
Let x represent the number of years after 1970. Find a formula in slope intercept form for a linear function f that models the data. F(x)=???
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