The following table gives the the approximate amount of emissions, E, of nitrogen oxides in millions of metric tons per year in the US. Lett be the number of years since 1940 and E = f(t). 1940 1950 1960 1970 1980 1990 E 6.8 9.2 12.8 18.5 20.7 20 (a) Using left endpoints, estimate the integral: 50 f(t) dt z (b) Using right endpoints, estimate the integral: 50 [.5⁰. f(t) dt z

Consider y = ln(x²). Compute /.

the sales revenue of a new mobile phone model is found to follow an AR(1) process, as shown below. what is the 3-lag AČF value? Xt =0.7*xt-1+Wt 0.700 .0.343 0.490 0.240

Consider the function E(x)=x2+6x-5. Compute the average rate of change of E(x) over the interval [a, a+ delta(x)], simplifying as much as possible. What happens to this expression for the average rate of change as x approaches zero?