12х + 18у — 4z. (1 point) Let x, y, z be (non-zero) vectors and suppose...
8х — 2у + 3z. (3 points) Let x, y, z be (non-zero) vectors and suppose w = If z y-4x, then w = x+ -4 1 у. Using the calculation above, mark the statements below that must be true. A. Span(w, z) = Span(y, z) B.Span(x, z) Span(w, z) C. Span(x, y, z) = Span(w, x) |D. Span(w, y) = Span(w, y, z E. Span(x, z) Span(x, y)
Let x, y, z be (non-zero) vectors and suppose w = -16x - 4y + 2z.If z = 4x + y, then w = - 8x - 2y.Using the calculation above, mark the statements below that must be true.
(1 point) Suppose F(x, y, z) = (x, y, 4z). Let W be the solid bounded by the paraboloid z = x2 + y2 and the plane z = 4. Let S be the closed boundary of W oriented outward. (a) Use the divergence theorem to find the flux of F through S. ſ FdA = 48pi S (b) Find the flux of F out the bottom of S (the truncated paraboloid) and the top of S (the disk). Flux...
1. Suppose that E(X) E(Y) E(Z) 2 Y and Z are independent, Cov(X, Y) V(X) V(Z) 4, V(Y) = 3 Let U X 3Y +Z and W = 2X + Y + Z 1, and Cov(X, Z) = -1 Compute E(U) and V (U) b. Compute Cov(U, W). а.
Say that A is a 3 x 3 matrix and that there are non-zero vectors x, y and z with Ac = e. Ay = -2y , and Az = 0 Which of the following statements must be true? Select only one answer A is neither invertible nor diagonalizable. Ais diagonalizable but is not invertible. A is invertible but is not diagonalizable. A is invertible and diagonalizable.
n - meraymowa:)--00 [1] [ Let the vectors x, y and z be x = -2 y=1tz= -1 [3] [2] Find r. s and t such that y + z = x O (r, s, t) = (-2, -1, 1) O (r, s, t) = (-2, 1, 1) O (r, s, t) = (-2, 1,-1) (r, s, t) = (2, 1,-1) m Consider the set S = {w,x,y,z} of vectors in R3, S = { 121, Let V = span...
Please, include the explanations to your solution! Begin with the paraboloid z #x2 + y2, for 0 s z s 64, and slice it with the plane y-0. Let S be the surface that remains for y 20 (including the planar surface in the xz-plane) (see figure). Let C be the semicircle and line segment that bound the cap of S in the plane z 64 with counterclockwise orientation. Let F (4z 3y,4x+3z,4y+3x. Complete parts (a) through (c) below 64...
2. Let A = (cos, sin and B = (cos, sin) be two vectors on the x-y plane. Let C = (cos, sin be another non-zero vector on the x-y plane not collinear with A or B. Show that Ax B = -Bx C. If we could cancel B, as we could if these were real numbers, is it true that A= -Č? 2. Let A = (cos, sin and B = (cos, sin) be two vectors on the x-y...
Suppose Cor(X,Y)=1/3 and oy = 403. Let Z=2X +3Y. If Var(Z) = 240, calculate Var(X).
Answer Save the vectors are any non-zero vectors Determine ir the following statements are True or False. Assume )M (b) The intersection of Z = (x2+4)cosy + 9xy and the plane, y-r, is a parabola. (c) The vectors 47- 97+20k and 87- 187-40k are parallel. (d) The graph of fix.) = x2 + r2 is a circle. (e) The spacing of the contours of a function of 2 variables given by y 3x2+C2 will increase as C increases. Answer Save...