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For Exercises 1–3, do the following.
Graph the reproduction curve, the line
Find the population at which the maximum sustainable harvest occurs. Use both a graphical solution and a calculus solution.
Find the maximum sustainable harvest.
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Chapter 2 Solutions
Calculus and Its Applications (11th Edition)
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Calculus: Early Transcendentals (2nd Edition)
- The water level in a glass decreases 0.4 cm each hour due to evaporation. At the beginning of the experiment, the water level is 12.6 cm. Let x represent time, in hours, elapsed since the beginning of the experiment and let y represent the water level, in centimeters. Part A Construct a linear function, using x and y from above, that determines the water level at a given time, in hours, after the experiment begins.arrow_forwardThe function f(x) = 0.4x2 – 36x + 1000 models the number of accidents, f(x), per 50 million miles driven as a function of a driver's age, x, in years, for drivers from ages 16 through 74, inclusive. The graph of f is shown. Use the equation for f to solve Exercises 45–48. 1000 flx) = 0.4x2 – 36x + 1000 16 45 74 Age of Driver 45. Find and interpret f(20). Identify this information as a point on the graph of f. 46. Find and interpret f(50). Identify this information as a point on the graph of f. 47. For what value of x does the graph reach its lowest point? Use the equation for f to find the minimum value of y. Describe the practical significance of this minimum value. 48. Use the graph to identify two different ages for which drivers have the same number of accidents. Use the equation for f to find the number of accidents for drivers at each of these ages. Number of Accidents (per 50 million miles)arrow_forwardThe water level in a glass decreases 0.4 cm each hour due to evaporation. At the beginning of the experiment, the water level is 12.6 cm. Let x represent time, in hours, elapsed since the beginning of the experiment and let y represent the water level, in centimeters. Part A Construct a linear function, using x and y from above, that determines the water level at a given time, in hours, after the experiment begins. Part B How many hours does it take for all of the water to evaporate? ____ hoursarrow_forward
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- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage