2.3. a. Find the ACVF of the time series X, Z, +.3Z,-1- .4Z,-2, where (Z,) WN(0, 1) b. Find the ACVF of the time series Yt = Zt-1.2.1-1.62-2. where (Z,)~ WN(O, .25). Compare with the answer found in (a).
Use Z-transforms to find the inverse Z-transform of F(z) = 1 +( 4z / (z − 1)2)
find A^-1 using the matrix of coefficient and determinant method 5, x+y+ z= 5 x+y-4z = 10 -4x + y + z= 0
1. Consider the linear map f R3R4 defined by f(x, y,z) (x+y+ z, 2x +4z,3x + 2y +4z, 5y - 5z) a.) Find the matrix representing f (5pts) b.) Determine (i) ker(f) (2pts) (ii) Range(f) (2pts) and (i) dim(f) (lpt)
given the quadratic form h(x,y,z) = 3x^2 +3xy - 2y^2 + 3xz -4z^2 if a function g(x,y,z) is = h(x+3,y+2,z-5) and has an origin that is a critical point for h(x,y,z) find a critical point for g(x,y,z) while not calculating one, also is it a minimum or a maximum and is it unique?
13. Evaluate Is F.dš that is, find the flux of the field across the surface. F(x,y,z)=-4z ī + y) – 3x K , S is the hemisphere z = 14 – x2 - y2; ñ points upward.
(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...
Using the windows32 framework, write a program toevaluate the value of the following real valued function. Make sure to printthe output using a message box.f(x; y; z) = x4 + y3 + z + (x + y)4zNote: Your program should read x, y and z from the keyboard.
Find three solutions to the system of equations shown below. x 3y +7z- 33 y +4z-8 Find the solution that corresponds to z-1 xy, and z- 1
. Which of the following rings are UFDs? Select all that apply. Z/4Z Q[2] Q[x, y] .