The positive integer 2011 2012 2013 . . . 2022 2023 has 52 digits. Without changing the order of any of the digits, any 32 of the digits can be removed. Find the greatest 20-digit number that can be produced in this way.

Q: polynomial function

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Q: 5. Is a matrix similar to a Hermitian matrix necessarily Hermitian? What if uni- tary similarity is…

A: A matrix that is similar to a Hermitian matrix is not necessarily Hermitian itself. Similar matrices…

Q: syste equations: 2x2 - X3 + 2x1 = 5 4x2-3x3 + 4x₁-3=0 3x2-x3-2x1-1=0 Use Gauss-Jordan Method

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Q: Part(b)

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Q: 1. (a) Consider the following graph. 4π It is given that the above function is transformed from the…

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Q: 150 198 205 319 345 ► 410 450 100 100 100 480 430 390 215/

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Q: 6.7 Theorem 5.6 tells that we can form a stationary solution to the FPK equation in form of Equation…

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Q: მ2u at² მ2u 7. Solve the wave equation = 4. Subject to u(0,t)=0, u(4,t)=0,u(x,0)=x(4-x), taking h=1,…

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Q: Problem # 1 Suppose heat is lost from the lateral surface of a thin rod of length L into a…

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Q: The radius of convergence of the series 2'2 ○ [11] ○ (-11) (-∞0,00) IM8 is

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Q: Consider the following eigenvalue problem: X" + XX 0 X'(0) = 0, X(T) = 0. = (i) Show that all the…

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Q: Consider the initial value problem -3 ÿ' - [ 3 _3],, = - [-3]. ÿ, ÿ(0) =

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Q: The position vectors of the points A, B, C, D are given by a = 2i + 3j - k, b = 4j+ 5k, c = 7i-3k,…

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Q: (1) Which interval is the real number t in such that A = -1 0 4 2t 0 2t 4 is positive definite?

A: (1)The given matrix .The aim is to find the values of  for which the matrix  is positive…

Q: consider the following second order differential equation of a time function y(t). t>= 0. it is a…

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Q: Show that simpleness is a structural property of groups, that is, if G₁ and G₂ are isomorphic…

A: Let and  be isomorphic groups. We need to show that is simple if and only if is simple.

Q: X f(x) 0 1 0,1 7 0,2 3 0,3 3,945 0,4 5 0,5 9

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Q: continuously paying level annuity pays $70.00 each year for ten years. The force of interest is 1 1…

A: Given that a continuously paying level annuity pays $70.00 each year for ten years. The force of…

Q: Solve the inhomogeneous 1st order equation Ux − Ut = cost U(x, 0) = 0.

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Q: Solve the inhomogeneous wave equation on the real line Utt − c2Uxx = sin x, x ∈ R U(x, 0) = 0, Ut(x,…

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Q: Determine whether each of the following series are absolutely convergent, conditionally convergent,…

A: To determine whether the series ∑−4n2(n+1)! is absolutely convergent, conditionally convergent, or…

Q: Find the two coupled Euler-Lagrange equations giving the stationary path of the functional S[y₁,92]…

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Q: class that simple groups te groups. Every finite group can be "decomposed" into "atoms" in the…

A: Finite Simple Groups: These are groups that have no nontrivial proper normal subgroups. In other…

Q: x,y,z), by Sph = {(x, y, z): (x − xo)²+(y - Yo)² + (z - zo)² = a²}, - where a, xo, yo and zo are…

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Q: 09 10 11 Problem: Find the solution of the following equation. 2 Judu + 2 du_y² ду au и u (X₂6) = 2x

A: Note: As multiple questions have been asked, so only first question has been solved according to QnA…

Q: 1. For the activities shown below, draw the network in both AoA and AIB format and identify the…

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Q: The surface S₁ and vector field F are given, in Cartesian coordinates, by S₁ = {(x, y, z) : x² + y²…

A: The surface ,And the vector field  are given in Cartesian co-ordinates,

Q: Exactly one of these chests contains gold, but only one of the four statements is true. Which chest…

A: The objective of the question is to determine which chest contains the gold based on the given…

Q: 2. This question is concerned with the homogeneous differential equation d²x dx +6 dt² dt (i)…

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Q: D 3.2-5. Use the graphical method to demonstrate that the follow ing model has no feasible…

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Q: Let u and v be column vectors from Rn and define A = I + uvT, where I E Rnxn is the identity matrix.…

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Q: UNDERSTANDING. 4.3.3 Suppose we estimate that a forest can support a population of 10,000 deer and…

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Q: Q1) Consider the function /(x) = x2 + 2 in the interval (0, 2). Approximate the area under the curve…

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Q: Which pocket will the ball end up in? Assume that the ball is shot at a 45 degree angle directly…

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Q: Define the quadratic form qA(₁,,n) associated to a real symmetric n × n matrix A.

A: We have to define the Quadratic formqA(x1,x2,...xn) associated to a real symmetric n×n matrix A.

Q: 13/ Find dy/dx, if x =2 sin (1+34), y=2+² when t = = =

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Q: Q15. Which of the following statement is true? < I. p + q = p + q when p≥ 0 and q ≥ 0< II.…

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Q: a and b please

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Q: 1 Suppose A = 0 1 -1 1 0 1 -2 -0 -3 b = 1 (1) Find a full-rank decomposition of matrix A; (2)…

A: Given matrix  and We have to find (i) a full-rank decomposition of matrix (ii) Moore-Penrose…

Q: Can an even number, divided by another even number, times another even number ever equal an odd…

A: The objective of the question is to determine whether the result of an operation involving only even…

Q: X f(x) 0 1 0,1 7 0,2 3 0,3 3,945 0,4 5 0,5 9

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Q: (b) Compute the value of the line integral [(2x³yi-xy² j)dr, where C is the path made up from the…

A: (b) Here first of all we have to write the parametric form of line segments joining which are in the…

Q: X f(x) 0,0 1,0 0,5 1,0 15 20 2,119 2,910 3945 3,945 5,72 2,5 8,695

A: The given data table is x0.00.51.01.52.02.5f(x)1.02.1192.9103.9455.728.695          we want to…

Q: In this question, PA(z) denotes the characteristic polynomial of an n x n matrix A and mA(z) denotes…

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Q: Consider the following 2nd order PDE, Uzz +2Uzy + 4U₂ = 0. (i) Write down its principal part and…

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Q: Consider a matrix 3 M = [2²³] L2 1 (i) Calculate the determinant (ii) Calculate the eigenvalues…

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Q: 1. Evaluate the integral jj. 09 by reversing the order of integration. cos x³dxdy

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Q: Q3. Determine the kernel and range of each of the following linear operators on R³: (a) L(x) = (X3,…

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