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- Show mathematically that MRS is increasing for U=1-ex +e2y and is diminishing for U=lnX +LnYJesaki Inc will sell N units of product after spending $x thousand in advertising, as given by N= 66 x−x2. Use differential approximations to estimate the increase in sales that will result by increasing the advertising budget from $10,000 to $10,589. Round to the nearest integer. $Answers: 1. Fobt = 7.54, reject H0;, do Wilcoxon; Tobt = 90.5, reject H0 2. Fobt = 10.08, reject H0, do Wilcoxon; Zobt = 1.197, do not reject H0 3. t = .163, Do not reject H0; no evidence that the device increases cars' mpg
- In an effort to make the distribution of income more nearly equal, the government of a country passes a tax law that changes the Lorenz curve from y = 0.98x2.1for one year to y = 0.32x2 + 0.68x for the next year. Find the Gini coefficient of income for both years. (Round your answers to three decimal places.) after beforeIn the Four-Step Rule, which among the steps is the most important, upon which the foundation of determining differential equations rests? a. Step 3 (divide the difference between f(x + Δx) and f(x) by Δx) b. Step 1 (write f(x) as f(x + Δx)) c. Step 4 (apply the limit Δx → 0) and simplify. d. Step 2 (subtract f(x) from f(x + Δx) and simplify)Suppose f is differential equation on (-inf, +inf), f(3)=12 and f'(3)=-2 use linear approximation to estimate f(3.3).
- I am getting stumbled on this partial differential equation problem, perhaps because i am trying solve the PDE. The question is simply to verify a given solution, but i lose touch because of the lonely "u" at the end of the left side of the equation.The differential equation dudx=5u+10 admits one equilbrium solution that is asymptotically stable or unstable . Plot the equilibrium solution in u versus x space below (Hint: the plot is a straight line):Suppose that Yt follows a stationary AR(1) model with β0 = 0 and β1 = 0.5.If Yt = 10, what is your forecast of Yt+2 (that is, what is Yt+2|t)? What isYt+h|t for h = 20? Does this forecast for h = 20 seem reasonable to you?
- "Ex+y=∫-1.51.5x fx dx+∫-1.51.5y fy dy=∫-1.51.5x11.5--1.5dx+∫-1.51.5y11.5--1.5dy=∫-1.51.5x13dx+∫-1.51.5y13dy=13∫-1.50-xdx+∫01.5xdx+∫-1.50-ydy+∫01.5ydy=13-x22-1.50+x2201.5+-y22-1.50+y2201.5=13-(02--1.52)2+1.52-022+-(02--1.522+1.52-022=131.125+1.125+1.125+1.125=4.53=1.5" Could you write this part for a better understanding? Thank you.Suppose that f(t) is a solution of the differential equationy′ = ty - 5 and the graph of f(t) passes through the point(2, 4). What is the slope of the graph at this point?Jesaki Inc will sell N units of product after spending $x thousand in advertising, as given by N = 75 x - x^2Use differential approximations to estimate the increase in sales that will result by increasing the advertising budget from $10,000 to $10,850. Round to the nearest integer.________$ The total cost of producing a racket per hour is given by: C(x) = 0.53x²+4.6 x + 405 The average cost per racket at production level x rackets per hour is C'(x) = C'(x)/x Use differential approximations to estimate the change in average cost per racket if the production is increased from 20 per hour to 25 per hour. Round to the nearest cent.$_______per racket Yaster Electronics manufactures and sells æ televisions per month. The cost and revenue in dollars are given by C'(x) = 72,957 +59 x and R(x) = 204 x - 0.041 x2.Use differential approximations to estimate the change in profit if production level is increased from 1,500 to 1,559. Round to the nearest dollar. $________