Show that the function is u(x,y)=e⁻ˣ(xsiny-ycosy) is analytic.
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- Show that if ˆ is an unbiased estimator of θ andvar()ˆ Z 0, then ˆ 2 is not an unbiased estimator of θ 2.For the next 6 numbers: Refer to the Management Scientist output of a maximization LP problem. The constraints are defined as follows: Constraint 1: advertising budget ( ) Constraint 2: sales force availability ( ) Constraint 3: production level (=) Constraint 4: retail stores requirement ( ) Optimal Solution Objective Function Value - Variable. Constraint X1 X2 X1 X2 X3 X4 X3 X4 1 2 Variable 1 2 3 3 4 OBJECTIVE COEFFICIENT RANGES 4 Constraint RIGHT HAND SIDE RANGES Value Slack/Surplus Lover Limit 25.000 425.000 150.000 0.000 84.000 50.000 No Lover Linit No Lover Linit Lover Limit 48450.000 0.000 25.000 0.000 0.000 4950.000 1775.000 515.000 0.000 Reduced Costs Dual Prices Current Value 90.000 84.000 70.000 60.000 Current Value 0.000 0.000 0.000 45.000 5000.000 1800.000 600.000 150.000 3.000 0.000 60.000 -17.000 Upper Limit No Upper Linit 90.000 87.000 105.000 Upper Linit 5850.000 No Upper Limit 603.571 200.000Find the Inverse Laplace Transform of Y(s) = 12 (s+5)*
- Solve (xex + y) dx − x dy = 0Find the point of intersection of the pair of straight lines. y = −7x − 10 −y = 8x + 2 (x, y) =If X1, X2, ... , Xn constitute a random sample from apopulation with the mean μ, what condition must beimposed on the constants a1, a2, ... , an so thata1X1 + a2X2 +···+ anXnis an unbiased estimator of μ?
- do fast currect answerx=2 dont use excelA manufacturing engineer is studying the dimensional variability of a particular component that is produced on three machines. Each machine has two spindles, and four components are randomly selected from each spindle. The results follow. Analyze the data, assuming that machines and spindles are fixed factors. Machine 1 Machine 2 Machine 3 Spindle 1 1 1 12 8 14 12 14 16 9 9 15 10 10 15 11 10 13 11 12 15 12 8 14 13 11 14 Calculate the Determination Coefficient (as percentage) for the Model obtained. Use 2 decimal Digits Respuesta: 2.