Define the process X(t) = eaw (t)- za²t Use this process to answer the following problems. (a) Find E[W(t)X(t)] (b) What is the quadratic variation of X(t)?

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A: We have to find the value of x using given equation

Q: S 2x - 5y 4 6x - 4y 3.

A:

Q: V -4 dt 3t

A:

Q: V24x15y5 3

A:

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A: 2(3y-6)/2=3y

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A: We have to integrate.

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A:

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A: See this solution in below.

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A: Given:

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A:

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A: Given:  9x4y4 × x2y2

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A: We can use normal algebra to solve this problem.

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Q: 2. -ў — 2у %3D 6

A: answer is in next step

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A:

Q: 2x 4x e dx

A:

Q: 2(3w+8)=40

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A:

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A:

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A:

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Q: 3x- 13x +4= 0

A:

Q: Find (8, - 9):(1, 8).

A: Given that, the vector expression is 8,-9·1,8.

Q: X+3y=9

A: this is a two variable linear equation X + 3Y = 9

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A: Here we have to solve , the given differential equation  y"+y'-2y=0 ...........(1)

Q: -3a + 12a

A: -3a+12a=9a

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A: