(a) Determine the stationarity and invertibility of the following vector MA(I) model Z, = (1 – OB)a, where 05 04 O = and Cov[a,] = L4 01 08

Q: Find r'(t)'r" (t) given the following vector function. r(t) = 3cos(t)i+ 4sin(t)j cost sint -25cost…

A: Given vector function is, r(t)=3cost i+4sint j

Q: Find a normal vector at point P. xy2 - 4x2 + y + 8x = 7, P(4, 3) Find a tangent vector at point P.

A:

Q: Let the velocity vector be v(t) = (6 cos(3t), 8 exp(2t), 3t2). Compute the acceleration vector a(t).

A:

Q: Find the acceleration vector for the position vector r(t) = (sin(11t), 4tº, e -2t). x component = y…

A: We need to find acceleration vector.

Q: A particle is in motion, and its acceleration at t sec is found to be a(t) = (0)i + (2t)j + (9 +…

A: The general form of a single parameter vector-valued function in three-dimensional space is given by…

Q: Given the vector function 7 (t) = (3t, 5t", – 3t° + 2) - Find the velocity and acceleration vectors…

A: Given that vector function r→ t=3t,5t2,-3t5+2 To find the velocity and acceleration at t=-1Solution…

Q: Given the vector function 7 (t) = (- 4t, – 5t°, 2t + 2) Find the velocity and acceleration vectors…

A:

Q: 3. Let i, j, k denote the unit vectors along the three coordinate axes. Let v(t) = ti + sintj +…

A: Let i, j, and k denote the unit vectors along the trhee coordinate axes.Let vt=ti+sin tj+cos tk and…

Q: Find the tangential and normal components of the acceleration vector. r(t) = 4(3tt³)i + 12t²j aT an…

A: Since there are multiple questions the first question is answered kindly repost if any particular…

Q: Determines the vector equation of the line of intersection of the plan: (shown in the image)

A: