Let 11 be the surface with the equation = 2√/y+1 and let 12 be the sphere with 2 equation x²+ y²¹+ z² 16x + 16y - 4z + 76 = 0

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A: We have to evaluate the integral

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A: Given that Hamiltonian is represented by the matrix H=μ200001010   Where μ is a positive number.

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A: Given : e(x) = 1- 4t +3t2                B  = { 1 , t ,  t2 }     and     B' = {  t2  , t +t2  ,…

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Q: 124x₁ + 245x₂ + 35x3 + 24x4 = 24 356x1 + 24x2 + 35x3 + 75x4 = 2 24x₁ +56x2 + 35x3 + 67x4 = 47 256x₁…

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Q: Suppose that v1=(2,1,0,3), v2=(3,-1,5,2), and v3=(-1,0,2,1).  Which of the following vectors are in…

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Q: QUESTION 4 Using the definition of convolution find the convolution of the following functions (f*g)…

A: We use Convolution theorem.

Q: Solve Laplace's equation, 324 + 324 = 0 дуг u(0, y) = 0, u(a, y) = 0 ди Əy eBook ly = 0 u(x, y) = 0…

A: Using separation of variables

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Q: ntegers not exceeding

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Q: ) Consider the matrix A = [a b] with a, b, c and d real-valued numbers. Under which condition(s) for…

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Q: The indicial equation of the differential equation 2x²y" + x(2x - 1)y' + y = 0 is: O (r-1)(r-1/2) O…

A: *By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all…

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Q: Disproof the statements below. a) Define f: Z → Z by f(n) = 3n-7, VEZ. This function f is onto. b)…

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Q: (d) i. Describe the Fermat primality test. ii. Can the Fermat primality test prove that 561 is…

A: Introduction: A positive integer that is divisibly only by 1 and that very number is referred to as…

Q: 23. $³-28²-68-6 (s²+2s+2)s²

A: Sol:- L-1s3-2s2-6s-6s2s2+2s+2Take the partial fraction of…

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Q: X = 4 0 1 1 0 2 -3 6 -12 10 -1 5. - = 1 2 [X1 X2 X3 X4]

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Q: Q9B. Consider the graph with the following vertices and edges: V = {a, b, c, d, e, f} E = {{a, b},…

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Q: Indicate if the following statement is TRUE or FALSE. Briefly justify your response with an…

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Q: Find Laplace transform for the following functions ) f(t) = 2te¹

A: We need to determine the Laplace transform of the function: f(t)=2tet.

Q: QUESTION 4 Using the definition of convolution find the convolution of the following functions (f*g)…

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Q: If tan(z) Give exact answers. sin tan mu cos(-) = 2 || 30 19 Submit Question (in Quadrant 4), find…

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Q: Find a degree 4 polynomial that approximates the solution of y'=y+x², if y=1 when x=0. a.y=1+x+ b.…

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Q: Which of the following direction field will represent the differential equation y = x + y

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Q: The base of a three-dimensional figure is bound by the graph y = sin(x) + 1. Vertical cross sections…

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Q: 4. Use Newton's backward interpolation formula to estimate √10.5 using the following known values:…

A: To find- Use Newton's backward interpolation formula to estimate 10.53 using the following known…

Q: C. Use Laplace transform to solve the following differential equations: d²y dt² dy 2 + 2y = 3e* cos…

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Q: Let g(t) = e²tU(t-2) + Sin(3t) U(t-n) By using the definition of the Laplace transform we find that…

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