Find a solution to the following recurrence: -11an-1 an = an - 28an-2-5(-2)" for n ≥ 2 with initial conditions an a2 3 and ₁ = -28. Check your work by calculating a2 from both the recurrence and from your solution formula.

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Q: 1. Consider the IVP y' = 0.5-t+2y, y(0) = 1. Use Euler's method with h = 0.1 to find wo, w₁, W₂.

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Q: Problem #4: Consider the following matrix. Problem #4: A = 2 -1 8 2 -6 -3 -5 4 1 Let B = adj(A).…

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Q: Section 1.7 Problem 3. Mark each statement True or False, and justify your answer. (T/F) The columns…

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Q: Maximize Z = 100x₁ + 100x2 10x1 +5x380 6x1+6x2 ≥ 66 subject to 4x1 + 8x2 ≥24 5x1 +6x290 x1, x₂ > 0

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Q: Let A is nonnegative irreducible matrix such that I -A is invertible and (I -A)-1 >= 0. Let λ1…

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Q: 2. Explain why the function is discontinuous at the given number a. i. ii. 1 (x-1)² f(x)=--…

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Q: Find y as a function of x if y(4) — 6y" + 9y" = 0, y(0) = 18, y'(0) = 10, y'(0) = 9, y″(0) = 0. y(x)…

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Q: Solve the initial value problem y(t) = Questio = dy dt = Y t+1 + 4t² + 4t, y(1) = 6

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Q: 2. Using the formal power series to prove the Vandermonde's identity n + b b ( #') = £ () (²x). k k…

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A: From the graph, local maximum and local minimum points are explain in below images

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Q: A line 4x+y=1 through the point A(2,-7) meets the line BC whose equation is 3x-4y+1=0 at the point…

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Q: (a) Prove that if E C R and m* (E) = 0, then E is measurable.

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Q: 5. If tp and to are the times required for a radioactive material to decay to 1/p and 1/4 times its…

A: Solution:-

Q: Which sum below is the largest? All of the sums listed here are equal. 100 M i=1 .2.2

A: Option c is correct and others are incorrect.Precise explanation given below.

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Q: Given the polar function: r = 1-2sin (0) What is the area in the small loop? ?] square units

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Q: Express the column matrix b as a linear combination of the columns of A. (Use A₁, A2, and A3…

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Q: 3. Solve this differential equation: Variables. 4 dy 1 dx y x²y² .2 dy 4x y by the method of…

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Q: Question 9: If (1+x)y=ln(1+x), then show that, (1+x²)yn+2+(2n+3)(1+x)Yn+1 + (n + 1)² yn = 0.

A: Sol:- To show that (1+x²)yn+2 + (2n+3)(1+x)yn+1 + (n+1)²yn = 0, we start by taking the first…

Q: Exercise 1.5 A code C exhibits non-unique decodability in the form 012120.120 01.212.01.20; find an…

A: Answer: GIVEN THAT:- A code C exhibits non-unique decodability in the form 012120.120= 01.212.01.20

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Q: Evaluate the given expression. Take A 000 0-2 2 0 2 1 3A +0.5C ↓↑ and C= -1

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