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- Eliminate the arbitrary constants A and B in the equation y = Acos5x + Bsin5x. O A. y" - 25y = 0 O B. y" + 25y = 0 O C. y" - 5y' + 25 = 0 O D.y" + 5y' - 25y = 0The equations æy? + 2xzcos(u) + ye" = 4 and x³yz + xe" – 8u²v² = 24 are solved for u and v as functions of x, y and z near the point P where (x,y,z)=(1,1,1) and (u, v) = (풍,0). Find (),y at P. | du dz 12,y Türkçe: xy? + 2xzcos(u) + ye" = 4 ve x³yz + xe" – 8u?v² = 24 denklemleri P noktası (x,y,z)=(1,1,1) ve (u, v) = (4,0) civarında x,y ve z'nin fonksiyonu olmak üzere u ve v için çözümlü olsun. P'de (u)zy'yi hesaplayınız.) dz O 64,00 O 4,00 O -10,00 O -0,50 O -80,00 "GenFind the coordinates of a rectangle with corner points at A: (2,4), B:(2,8), C: (5,8), and D: (5,4), translated 6 units up and 2 units left. A' = ( B' =( C' =( D' =(
- Evaluate = fay²da + x^dy, where C is the rectangle with vertices (0,0), (6,0), (6,4), and (0,4)The equations ry? + 5xzcos(u) + ye" = 10 and x³yz + xe" – 10u2v² = 30 are solved for u and v as functions of x, y and z near the point P where (x,y,z)=(1,1,1) and (u, v) %3D (풍,0). Find (을),y at P. du Türkçe: zy? + 5æzcos(u) + ye" = 10 ve r³yz + xe" – 10u²v² = 30 denklemleri P noktası (x.y,z)=(1,1,1) ve (u, v) = (5,0) civarında xy ve z'nin fonksiyonu olmak üzere u ve v için çözümlü olsun. P'de ()2y yi hesaplayınız.) du dz -25,00 O 80,00 10,00 O - 100,00 -0,20d) Let g(x,y) = (3x + y)2(2y + 1) and h(x,y) = 6y²(2x + у) i) Find Әд дд Әһ Әһ дх’ ду’ дх’ ду
- 3. у" 3D Vx3 4. у" + 16у — sec(4x) — 3Find of/ox and of/ay. f(x,y) = 2x²y of Ox of ду IIConsider the simple linear model Y, = Be + Bix, + C. where --N(0,a); i = 1,2, .., n. 1. Show that a) Y-IIN(B + B1*i,g²) b) (i) L = L(B.Pa:y) = (2ro) žexp - - Po + B,x,| (ü) a = (Sx - PSy) c) Cov(Be.B) = d) B, is an unhiased estimator of B, and that Var(B) = o 2. Derive the statisic for testing Ho: B - Bio versus H,: ß1 + Pin. (You must also state the distribution and critical region for the lest). 3. Constract a 100(1 – a)% confidence interval for 8,. %3D (Show all results used as part of your answer) %3D