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- The following table provides values of the function f(x,y). However, because of potential; errors in measurement, the functional values may be slightly inaccurately. Using the statistical package included with a graphical calculator or spreadsheet and critical thinking skills, find the function f(x,y)=a+bx+cy that best estimate the table where a, b and c are integers. Hint: Do a linear regression on each column with the value of y fixed and then use these four regression equations to determine the coefficient c. x y 0 1 2 3 0 4.02 7.04 9.98 13.00 1 6.01 9.06 11.98 14.96 2 7.99 10.95 14.02 17.09 3 9.99 13.01 16.01 19.02what are the stable equilibria (X1 ,X2)?Use linear approximation or differentials to estimate the following
- 2. b. et t'dt Evaluate using Gamma Function:C'. Determine the parameters in the given situations: A car maantufactu e advestises that a new car averapes 19 miles pei pallon of pasolme. A company clams that only 1 out of every 00 computers it sells has a mechanical malfunction A hospital claims that only 5% of its patients are unhappy with the care provided. A health study states that AmeuCan adults consume an aterape of 3 300 calories per day A study clams that adults watch teles1sion an average of 1 S hours pet day.if x~unif. (0,2),find the U.b. of p(lx - mul >= = 2)
- The edge of a cube was found to be 30 cm with a possible error of 0.2 cm. Use differentials to estimate the maximum possible error in the calculated volume of the cube. Error cm³Use a linear approximation (or differentials) to estimate the given number.Ex) Consider flx)=x^2", x= 1.7,2.0, 2.3,2.6,2.9 P foruard diff. central diff Backuard difp. find f'(2.3) by
- Asume that traffic flows at a rate of 220 vehicles per hour on the stretch of road between intersections D and A. Find the flow rates x1, x2, and x3. X1= X2= X3=Find the solution to the differential equotion that Sotisies the quen inital condiionA study was performed to investigate the shear strength of soil (y) as it related to depth in feet (x1) and moisture content (x). Ten observations were collected, and the following summary quantities obtained: n = 10, Exn = 223, Ex2 = 553, Ey, = 1,916, Ex = 5,200.9, E = 31,729, Ex*2 = 12,352, Ex„y; = 43,550.8, Ex2Y; = 104,736.8, and E} = 371,595.6. Set up the least squares normal equations for the model y = B, + B,x1 + Bx2 + e. n 3D а. none о ъ. у-171.054+3-714(х1)-1.126 (х2) O c. y=179.834+4.427(x1)-2.221(x2) O d. y=163.021+3.273(x1)-1.621(x2)
