The table of the value of y 0 to y 6 if the difference equation is y n = .8 y n − 1 + .6 with initial value y 0 = 10 .

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Answer 1

Question

Chapter 12.1, Problem 32E

(a)

To determine

The table of the value of y0 to y6 if the difference equation is yn=.8yn−1+.6 with initial value y0=10.

(b)

To determine

To graph: The terms of the difference equation yn=.8yn−1+.6 with initial value y0=10.

(c)

To determine

The value of y4 with the help of graph or table of the difference equation yn=.8yn−1+.6 with initial value y0=10 and also determine the value of n when yn less than 4.

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5. State space models Consider the model T₁ = Tt−1 + €t S₁ = 0.8S-4+ Nt Y₁ = T₁ + S₁ + V₂ where (+) Y₁,..., Y. ~ WN(0,σ²), nt ~ WN(0,σ2), and (V) ~ WN(0,0). We observe data a. Write the model in the standard (matrix) form of a linear Gaussian state space model. b. Does lim+++∞ Var (St - St|n) exist? If so, what is its value? c. Does lim∞ Var(T₁ — Ît\n) exist? If so, what is its value?

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Answer 2

Question

Chapter 12.1, Problem 32E

(a)

To determine

The table of the value of y0 to y6 if the difference equation is yn=.8yn−1+.6 with initial value y0=10.

(b)

To determine

To graph: The terms of the difference equation yn=.8yn−1+.6 with initial value y0=10.

(c)

To determine

The value of y4 with the help of graph or table of the difference equation yn=.8yn−1+.6 with initial value y0=10 and also determine the value of n when yn less than 4.

Expert Solution & Answer

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Answer 3

Question

Chapter 12.1, Problem 32E

(a)

To determine

The table of the value of y0 to y6 if the difference equation is yn=.8yn−1+.6 with initial value y0=10.

(b)

To determine

To graph: The terms of the difference equation yn=.8yn−1+.6 with initial value y0=10.

(c)

To determine

The value of y4 with the help of graph or table of the difference equation yn=.8yn−1+.6 with initial value y0=10 and also determine the value of n when yn less than 4.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 12.1, Problem 32E

(a)

To determine

The table of the value of y0 to y6 if the difference equation is yn=.8yn−1+.6 with initial value y0=10.

(b)

To determine

To graph: The terms of the difference equation yn=.8yn−1+.6 with initial value y0=10.

(c)

To determine

The value of y4 with the help of graph or table of the difference equation yn=.8yn−1+.6 with initial value y0=10 and also determine the value of n when yn less than 4.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 12.1, Problem 32E

(a)

To determine

The table of the value of y0 to y6 if the difference equation is yn=.8yn−1+.6 with initial value y0=10.

(b)

To determine

To graph: The terms of the difference equation yn=.8yn−1+.6 with initial value y0=10.

(c)

To determine

The value of y4 with the help of graph or table of the difference equation yn=.8yn−1+.6 with initial value y0=10 and also determine the value of n when yn less than 4.

Answer 6

Chapter 12.1, Problem 32E

(a)

To determine

The table of the value of y0 to y6 if the difference equation is yn=.8yn−1+.6 with initial value y0=10.

Answer 7

Chapter 12.1, Problem 32E

(a)

To determine

The table of the value of y0 to y6 if the difference equation is yn=.8yn−1+.6 with initial value y0=10.

Answer 8

(b)

To determine

To graph: The terms of the difference equation yn=.8yn−1+.6 with initial value y0=10.

Answer 9

(b)

To determine

To graph: The terms of the difference equation yn=.8yn−1+.6 with initial value y0=10.

Answer 10

(c)

To determine

The value of y4 with the help of graph or table of the difference equation yn=.8yn−1+.6 with initial value y0=10 and also determine the value of n when yn less than 4.

Answer 11

(c)

To determine

The value of y4 with the help of graph or table of the difference equation yn=.8yn−1+.6 with initial value y0=10 and also determine the value of n when yn less than 4.

Answer 12

Expert Solution & Answer

Answer 13

Expert Solution & Answer

Answer 14

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Answer 15

Ch. 12.1 - Consider the difference equation...Ch. 12.1 - Prob. 2CYU Ch. 12.1 - Prob. 1E Ch. 12.1 - Prob. 2E Ch. 12.1 - Prob. 3E Ch. 12.1 - Prob. 4E Ch. 12.1 - Prob. 5E Ch. 12.1 - For each of the difference equations in Exercises...Ch. 12.1 - Prob. 7E Ch. 12.1 - Prob. 8E

The table of the value of y 0 to y 6 if the difference equation is y n = .8 y n − 1 + .6 with initial value y 0 = 10 .

Solution Summary: The author explains how the graphing calculator calculates the value of y_0to

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The table of the value of y0 to y6 if the difference equation is yn=.8yn−1+.6 with initial value y0=10.

To graph: The terms of the difference equation yn=.8yn−1+.6 with initial value y0=10.

The value of y4 with the help of graph or table of the difference equation yn=.8yn−1+.6 with initial value y0=10 and also determine the value of n when yn less than 4.

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Chapter 12 Solutions