Q/Calculate the limit statement lim l है 7) X → -

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A: I have given the answer in the next step. Hope you understand that

Q: Let A = O O 5 31 5 0-31 36 Find a unitary matrix U and a diagonal matix D H U₁AU = D.

A: Unitary matrix: U#U=UU#=I

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A: Let us consider the function f(x)=1x

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Q: Show that lim(5x+2)=-18 x-> -4

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Q: 13. Given a recurrence relation an = -an-1 + 6an-2, with a₁ = 3 and a₁ = 12. Find an explicit…

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Q: : Answer the following 1- Let s = = {+:n € N}. Find max(s), min(s), sup(s), inf(s).

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Q: Q1/ A: Find: 1 L-1 55+4 2S-18 5²49 24-30 √S + 54 2- L (t² cos at)

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A: Properties of Laplace transformation Leatf(t)=F(s-a)Lsinat=as2+a2Lcosat=ss2+a2

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Q: Q2/ Find the Fourier series to represent the function f(x) given by: -1 for f(x) = 0 +1 for for TL…

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Q: Q5/ A: Use Linear Regression to fit the following experimental data X 0 3 2 3 1 6 Y 5 1 2 10 9 8 5…

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Q: 11 Xn+1 = 1 converges to a solution of the equation x² + x - Xn 11 = 0, [2,3]. True O false

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Q: Compute the product or state that it is undefined. [-527] 0 -3 O [-350-21] O -35 0 -21 [-56] [239]

A: Solution

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Q: Q4/ A: Find Fourier Series of the Function: f(x) = {-K -TAX<O 0 <x<*

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Q: kx₁ + x₂ + x3 = 1 x₁ + kx₂ + x3 = 1 x₁ + x₂ + kx3 = 1

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Q: 1. By reversing the order of integration, evaluate the following integral. [[ x cos (y²) dy dx. x²

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Q: 1. Determine an expression and the domain for h(x) for the following expressions. [8K] a) f(x) =…

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Q: 2355 cm3 b. 4165 cm3

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Q: Suppose that f(x, y) = x² − xy + y² - 5x + 5y with x² + y² ≤ 25. 1. Absolute minimum of f(x, y) is…

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Q: In some country, 90% of the daughters of working women also work and 20% of the daughters of…

A: Two matrices can only be multiplied, if the number of columns of the multiplicand matrix is equal to…