Question2. Yn+3-4Yn+2 +5yn+1-2y = 2" linear difference equation is given. Find the general solution of the considered equation.

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A: Given, Leaking out rate from the inverted conical tank is 9200 cm3/min height of tank is h=6 m,…

Q: 3. Solve the difference equation by using Z-transform Yk+22Yk+1+Yk = Uk, (k > 0) with yo = y₁ = 0,…

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Q: Let A be any 5x7 matrix for which the​ col(A) has dimension​ 3, calculate: the​ nullity(A), ​and,…

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Q: Find the Laplace transform of the following: 1. f(t) = 9t²u₂(t) + 6(t−5)³u(t) — 12 sin ()us(t)

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Q: @ F₁ [ f(x)} = -P Fc [far proof: How.

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Q: Q1:Show the following Graphs: 1. |z+ 2₁ | = 4 2. |z+i 3. 3.1<z + 2₁ ≤3

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A: The given system of linear equations                                         2x1+           3x3 =…

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Q: The number of degenerate basic solutions of the system, x₂+2x₂ + x3 = 4, 2x₂ + x₂ +5x₂ = 5 is ?. a)…

A: The number of degenerate basic solution of the system is nCm. So 3C2 which is 3!/2!

Q: Q2.Use Triangular method of integration, find the integral f dx. √√x²-9 5x4

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Q: Find the Laplace transform of the following: 2. g(t) = {₁ t, (t-7)², (11t - e²1-3t, t<4 4≤t <7 t≥7

A: We will use the definition of laplace transform and definite integral.  Please find the attachment…

Q: e field ai cally clo. tet FSK be I is algebraic algebraically algebraic closure of F 10 is…

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Q: (b) Balance the chemical reaction Pb(NO3)2 + NaCl → PbCl₂ + NaNO3

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Q: So Find the Maclaurin series to compute lim x 0 1 1+t -dt - x + x3 x² 2

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Q: create 2 sample word problems that has derivative formulas with solutions

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Q: Let N and N' be normed linear spaces with the

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Q: Consider the following table. Xį 4.0 4.2 4.5 4.7 5.1 5.5 5.9 6.3 256.73 Y₁ 102.56 113.18 130.1178…

A: The table given is as follows: x 4.0 4.2 4.5 4.7 5.1 5.5 5.9 6.3 y 102.56 113.18 130.1178…

Q: For a cyclic group of order 420, the number of generators are, (a) 66 (b) 76 (c) 86 (d) 96

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Q: Use Laplace transform to solve the partial differential equation: d²u du = t> 0, 0<x<1, u(x,0) = sin…

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Q: 5. Evaluate the following integrals: (a) cos(x) dx dy (b) [²√ √²-* e-1²-y² AN и dy dx (Hint: Use…

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Q: f(1) = 9l²u₂o(1) + 6(l − 5) ³u₁ (0) — 12 sin()u(0) 3 15

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Q: Given the following systems, 4x1 + 2x2 - x3 = 10 x1 + 3x2 - 2x3 = 4 2x1 - 2x2 + 3x3 = 6 1. Solve…

A: Jacobi method uses the system of equations to set up the iteration formulas. The initial…

Q: 1- Find the inverse by Gauss Elimination method: 0 01 [1 2 3] 2 1 2 ---R A = -2 1 0 ii- A = 4 5 6…

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Q: Let X be a set. Let P be a set of subsets of X such that: • ØEP; • the union of all sets A E P is X.…

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Q: Find the Laplace transform of the following: 1. y" + 2y' + 5y = t cos(5t) - 6, y(0) = 1, y'(0) = -2

A: To find the Laplace transform of the problem.

Q: im ->0 at + bx + c²³\2/x 3

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Q: 1 Let ƒ(x)=x²e³² the value of — lim[ƒ(x)]¹* is: 1 a) b) c) 0 d) 1 e 1 -19 4e

A: First put value of f(x) in given limit then find the limit as in next step.

Q: 1 u = ----- (1, 1, 1, 0), V 3 1 -- (-1,-1, 2, 0) W = V 6 1 - (1,-1, 0, 0) V2

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Q: α. Γ(6) 2Γ(3) b. Γ(7/2) Γ(1/2)

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Q: Let f= (157324) and g = (1 6 7) (2 4) be permutations in S7, written in cycle notation. What is the…

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Q: Below are two sets of real numbers. Exactly one of these sets is a ring, with the usual addition and…

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Q: The solution of the equation below can be represented as s y(x) = yn(x) + yp(x). y"+y' - 2y = e-2x +…

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Q: Let f(x) € Q[x] \ Q and KC C be the splitting field of

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Q: f(x) = 4xe-2x+3x √5x ; ƒ' (2)

A: Use the following finite difference formulae, to compute the first derivative of the function fx.…

Q: create 2 sample word problems of derivative of trigonometric functions  with solutions

A: Trigonometric functions are the periodic functions which denote the relationship between angle and…

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Q: Use Regula-Falsi to compute √7 with Ea ≤ 0.00001

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Q: your answer fully. (i) If I and J are prime ideals in R then In J is a prime ideal in R. (ii) If I…

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Q: What is the value of the third decile in the following set of data? 27, 21, 22, 23, 15, 19, 20, 24,…

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Q: -1²- 5. Evaluate the integral e dV, where E is the region between two cylinders z²+z² = 4 E and 2²…

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Q: Advanced Math Question

A: Given series is ∑n=0∞−1nnn+1. We have to check whether the given series is absolutely convergent or…

Q: 7. The lower quartile of 50 students in their final test in Mathematics 10 is 20. Which of the…

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Q: Answer the following and show solutions Given the following systems, 4x1 + 2x2 - x3 = 10 x1 + 3x2 -…

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