Let A = {1}, B = {2}, and C = {3}. (a) Explain why A x B B x A. (b) Explain why (A x B) × C # A × (B × C).

Q: d) 3xy" +4y' +y = 0.

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Q: Use the method of Frobenius to obtain series solutions of the following. 3xy"+y'-y = 0.

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Q: Q3A. Compute b11 for the inverse matrix B-¹. B O - 2 -5 2 -6 -3 12/07 -1 1 3 12/07

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A: Given Data: Let us consider the given data, X'=1-11-1x+1t1tX1=4-1 To Find: The value of X(t).

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Q: Approximate the root of the equation √√x + x² = 7 using the initial value xo = 7 and using the 4th…

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A: Answer  Using the below formula Given X=9 and k=5  and p=0.3 and q=1-p= 0.7

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Q: y"-9y' +14y=-4e³x + 6sin 2x

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Q: (2) Is the set {r € Rr² € N} countable? Justify your answer.

A: Yes the set A={x €R : x2 €N } is countable

Q: Given f(x) = (8/7)(1/2)*, x = 1, 2, 3. Determine the expected value of g(x) = X².

A: This question related to topic expectation from statistics

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Q: 1- Use the method of Frobenius to obtain series solutions of the following. xy" -3y' +y = 0.

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Q: Determine g(1.3) for the following function: g(x)= 2[x]-6.

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Q: (b) Find a basis and dimension of the vector space B-C J = where B U = {A € M22 | AB = BT A},

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