(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

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Q: (1) The position vector r of a missile at any time t is given by r = tį + (8t – t)j where į and j…

A: Solution by using formulaes :

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Q: [1 [4] Determine if the vectors v₁ = 2, 12 vi 2,√2 = 5, and v3 L3. L6. independent. = 8 are linearly…

A: Step 1:The provided vectors are:v1​​=⎣⎢⎡​123​⎦⎥⎤​,v2​​=⎣⎢⎡​456​⎦⎥⎤​,v3​​=⎣⎢⎡​789​⎦⎥⎤​It is needed to…

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A: Since you have posted a multiple question according to guildlines I will solve first (14)question…

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Q: (9) Find a vector parameterizat1on of the line r(t) which passes through the points P = (2, –6, 4)…

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Q: 4. Find the vector equation for a particle if A(t) = 6ti + 12t² j+ k, V(0) = 2i + 3j, and R(0) = 4k.

A: Given that At=6ti+12t2j+k,V0=2i+3j,r0=4k.

Q: Given the vector function 7(t) = (t, sin (t) – t cos (t), cos (t) +t sin (t)) Calculate B (34)

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Q: 19) Consider the vector function 7 (t) = (cos (3t), sin (3t) , 3t). Write 7" () in the form at () T…

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Q: Given that a curve is moving directly upward (positive z direction) when t = 4, and that the normal…

A: From given information: