Table 1: Number of monthly active Twitter users in the USA (Source:Statista.com) Year Monthly Active Users...

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Table 1: Number of monthly active Twitter users in the USA (Source:Statista.com) Year Monthly Active Users in the USA (millions) 2010 10 2011 19 2012 34 2013 48 2014 57 2015 65 2016 65 2017 69 2018 69 2019 68 The number of monthly active Twitter users is modeled by the logistic curve 68.8 +5.98e-0.867t where U (t) is the number of monthly active Twitter users (in millions) t years since 2010. U(t): = (a) Use Excel to plot the scatterplot and the regression curve on the same set of axes. Make sure you clearly label your axes and include the title. (b) Calculate lim U(t) and interpret the result. (c) Find U'(t). Show all your work. (d) Find the point of diminishing returns for number of monthly active Twitter users by first graphing U'(t) on the graphing calculator and finding the maximum point. Sketch a well labeled graph as a justification of your final answer. (e) Using the result from part (d), determine the number of monthly active Twitter users at the point of diminishing returns. Table 1: Number of monthly active Twitter users in the USA (Source:Statista.com) Year Monthly Active Users in the USA (millions) 2010 10 2011 19 2012 34 2013 48 2014 57 2015 65 2016 65 2017 69 2018 69 2019 68 The number of monthly active Twitter users is modeled by the logistic curve 68.8 +5.98e-0.867t where U (t) is the number of monthly active Twitter users (in millions) t years since 2010. U(t): = (a) Use Excel to plot the scatterplot and the regression curve on the same set of axes. Make sure you clearly label your axes and include the title. (b) Calculate lim U(t) and interpret the result. (c) Find U'(t). Show all your work. (d) Find the point of diminishing returns for number of monthly active Twitter users by first graphing U'(t) on the graphing calculator and finding the maximum point. Sketch a well labeled graph as a justification of your final answer. (e) Using the result from part (d), determine the number of monthly active Twitter users at the point of diminishing returns.

Answer rating: 100% (QA)

a To plot the scatterplot and regression curve on the same set of axes you can use Excel or any other graphing software Heres how you can do it in Exc... View the full answer