Another way to represent a paraboloid is s(x, y) = (x, y, bx^2 + by^2). Find s_x, s_y, and N(x, y). Are s_x and s_y orthogonal? Are N_x and N_y linear combinations of s_x and s_y?
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Another way to represent a paraboloid is s(x, y) = (x, y, bx^2 + by^2). Find s_x, s_y, and N(x, y). Are s_x and s_y orthogonal? Are N_x and N_y linear combinations of s_x and s_y?
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- Find all vectors in R' that are perpendicular to both [1,0, 1, 0] and [1,2,0, 1] and then find a matrix whose Nullspace is span. Assuming the +x-axis is horizontal to the right for the vectors in the following figure, find the following scalar products: (a) →A · →C ; (b) →A · →F; (c) →D · →C ; (d) →A · (→F + 2 →C); (e) ^i · →B; (f) ^j · →B; (e) (3 ^i − ^j) · →B, and (h) B^ · B→.For which real values of A do the following vectors form a linearly dependent set in R³? V₁ = 1₂ V2= V3 X₁ = 1 3' 3 1 (-₁^,-) = 1 3 2 3 - 1/3,^) A₂ =
- Consider 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) %3DFind the scalar product of x and y x =(-1, 0, 2) and y =(-7, 7, 3)/MAT-350-J4885-OL-TRAD-UG.23EW4/chapter/3/section/3 a home > 3.3: Dot product NGE 3.3.2: Angle between two vectors. Y 46070.qx3zqy7 Jump to level 1 Find the angle , in degrees, between u and v. u = [-2, -5] = [0,3] V = Ex: 1.234 0 Check || - Next roperties of the dot product he dot product has several properties similar to those of real number multiplication. Property 3.3.1: Properties of the dot product Section-