The cumulative number of cases of AIDS(acquired immunodeficiency syndrome) in the United States between 1981 and 2000 is given approximately by the function: f (x) = -0.0182a + 0.526a- 1.3z? + 1.3a + 5.4 in thousands of cases, where a is the %3D number of years since 1980. a. Graph this function on your graphing calculator or using an online calculator on the window [1,20) by [-10,800]. Notice that at some time in the 1990s, the rate of growth begins to slow. b. Graph the first and second derivatives on your graphing calculator. c. Sketch a graph the the function and its first and second derivatives. d. Find when the rate of growth began to slow. (Hint: Find where the second derivative of f(x) is zero and then convert the r-value to a year). You may use your graph of the second derivative on your calculator to find this value). How would you describe this point? e. What can you say about graph of the first derivative at the year found in d)?

The cumulative number of cases of AIDS(acquired immunodeficiency syndrome) in the United States between 1981 and 2000 is given approximately by the function: f (x) = -0.0182a + 0.526a- 1.3z? + 1.3a + 5.4 in thousands of cases, where a is the %3D number of years since 1980. a. Graph this function on your graphing calculator or using an online calculator on the window [1,20) by [-10,800]. Notice that at some time in the 1990s, the rate of growth begins to slow. b. Graph the first and second derivatives on your graphing calculator. c. Sketch a graph the the function and its first and second derivatives. d. Find when the rate of growth began to slow. (Hint: Find where the second derivative of f(x) is zero and then convert the r-value to a year). You may use your graph of the second derivative on your calculator to find this value). How would you describe this point? e. What can you say about graph of the first derivative at the year found in d)?

Name: Please show work. Thank you The cumulative number of cases of AIDS(acq
Uploaded: 2024-03-20T07:07:37.000Z
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Description: Please show work. Thank you The cumulative number of cases of AIDS(acquired immunodeficiency syndrome) in the United Statesbetween 1981 and 2000 is given approximately by the function:f (x) = -0.0182x + 0.526x – 1.3x? + 1.3r + 5.4 in thousands of cas