E23.1 Let C be the upper hemicircle y = √1-2² oriented from (1,0) to (-1,0) and let F(x, y) = (x² + y², 4xy³ + tan(y³)). 1 / F.dr. Find

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A: Let A be 3×3 invertible matrix :A=a1a2a3b1b2b3c1c2c3

Q: 2: Find: 1 L[3 - 3l

A: Inverse Laplace transformation.

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Q: P/ Find the Laplace Trans Former for the following function 8 sinh Cash & +

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Q: [2]- and b -G] such that 7(6₁)=56, +46, and 7(b) = 36, +56₂ Let b₁ == B= The set 2 (a) The 28-matrix…

A: We can find Matrix.

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Q: 5. Construct a formal proof for each of sequences (a) and (b) below. a. ~P→ (QAR), S→~R S→P b.…

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Q: Find the determinant of the n × n matrix.

A: The determinant of the n × n matrix. 1-n11…111-n1…1⋮⋮⋮…⋮111…1-n

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Q: Given the determinants of the following matrices: 1-3 4 1 4 -3 -1 1 10 14 54 10 -6 -5 -2 5 1-5-65…

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Q: 12. f(x) = 13. f(x) = E- ī | f(x) 2

A: The function has a vertical asymptote at x=-2 So the function must contain a factor 1x+2 The…

Q: 1 x₂(1) (2) 1 -1 0 (1)

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Q: . Consider the linear transformation T: R4 → R³ given by T() = Au, where A is the matrix 1 -1 3 3 3…

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Q: 2: Find: L-1[: 1 3 - 3]

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Q: 4. If xo E E, xo is not an accumulation point of E, and f: E→ R, prove that, for every sequence…

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Q: 1. (a) Consider the matrix A: (b) Let - 2 4 1 0 6 t t 13 8 8 20 22 -1 teR. Compute the determinant…

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Q: Write down the integral transform of for the kernel from t= 0 tot = 5. f(t)=t K(s, t) = et

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Q: Exercise: Let A = 35 2 3 3 1 2 32 1 2 1 0 3 -9 18 -57 18 -2 14 -28 -1 2 -4 6 12 -2 -30 -10 5 -9 -2 2…

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Q: Use Taylor's theorem to obtain an upper bound for the error of the approximation. Then calculate the…

A: We have cos0.4=1-0.422!+0.444! We have to find  R4≤                       R4=

Q: Let X = {o, p, s, w}, Y = {a,b, e, g, k}, and Z = {1, 2, 3, 5, 7, 9}. Let ƒ : X → Y where f = {(o,…

A: X=o,p,s,wY=a,b,e,g,kZ=1,2,3,5,7,9f:X→Yf=o,a,p,g,s,e,w,bg:Y→Zg=g,3,e,2,b,9,k,7,a,1

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Q: Show that if {fn} converges uniformly on {fn} converges uniformly on [a, b]. (a,b) and {fn(a)},…

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Q: is an invertible matrix. A is row equivalent to the n x n identity matrix. A has n pivot positions.…

A: The question provides a list of statements about a square n x n matrix A and asks you to determine…