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- Disposable income is the amount available for spending and saving after taxes have been paid and is one gauge for the state of the economy. Using U.S. Energy Administration data for selected years from 2010 and projected to 2040, the total U.S. disposable income, in billions, can be modeled by D = 10,020e0.02292t where t is the number of years past 2010. In what year is disposable income predicted to be $18 trillion (that is, $18,000 billion)?Given n1=10, n2=14 find F-Critical valueFrom 1950 through 2005, the per capita consumption C of cigarettes by Americans (age 18 and older) can be modeled by C = 3565.0 + 60.30t − 1.783t2, 0 ≤ t ≤ 55, where t is the year, with t = 0 corresponding to 1950. In 2005, the U.S. population (age 18 and over) was 296,329,000. Of those, about 59,858,458 were smokers. What was the average annual cigarette consumption per smoker in 2005? What was the average daily cigarette consumption per smoker?
- Find fx(−1,−1)if f(x,y)=2xy/1+x2y2. fx(−1,−1)= (Type an integer or a simplified fraction.)In an effort to isolate the determinants of absenteeism, Jacob estimates two different regressions, A and B, using time series data. The R2 is 0.63 for regression A and 0.91 for regression B. Which is the superior regression? Explain your reasoning.Consider an experiment in which a subject performs a task while being exposed to two different stiumli (for example, sound and light). For low levels of the stimuli, the subject's performance might actually improve, but as the stimuli increase, they eventually become a distraction and the performance begins to deteriorate. Suppose in a certain experiment in which x unites of stimulus A and y unites of stimulus B are applied, the performance of a subject is measured by the funtion f(x,y) = C+xye(1-x^2-y^2) where C is a positive constant. How many units of each stimulus result in maximum performance?
- what are the nature of the critical points of f(x,y) = xye^(x+2y) (show all steps please)Finad the linearization at the given points. f(x)= 6/x^2 at (2, 3/2)I have one question why do you consider F(x,y,z)=x^3+axyz+z^3 and you didn't consider the 1? I mean F(x,y,z)=x^3+axyz+z^3-1 I expect you to consider the function as I stated with -1.