Use the comparison test to show that lim ootu 6n +n³ 5n - n³

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Q: A: Find the solution to the following linear programming problem using the simplex method Max…

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Q: 2. Using quadratic interpolation find In 9.2 from In 8.0=-2.0794, In 9.0-2.1972 and In9.5-2.2513.

A: The given problem is find the approximate value of ln(9.2) with given data points by using the…

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Q: The matrix A 250 = 300 TTO -2 21 -2 1 one of the eigen vector is (solve) 11 Option 4 O 3 園 in Option…

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Q: Q.1: Solve the differential equation below; y' = e²x-1 y²

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Q: Given a periodic function -x, -L<x<0 { f(x)= x, 0<x<L f(x+4) Therefore L = 4.

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Q: 9. Evaluate the integral, where C is the above half of the circle = R from z₁ = 1 to z₂ = -1.

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Q: Question Which of the following is a potential function f for F(x, y, z) = (2x cos(yz). -x²z sin(yz)…

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Q: A periodic function ƒ (t) is defined by na f(t) = { di f(t)=ƒ/213< Find the Fourier series…

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Q: 2. Given the system dx₁ = 3x₁ + 3x₂ dt dx₁ dt = 4x₁ - 1x₂ a. Write the above system in matrix form…

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Q: 1) let A be and a Banach algebra with unit, Let at A r(a) <1 Then (1-a) is invertible and (1-a) ² =…

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Q: Let g(x, y, z) = xf (2,3), where f(u, v) is a differentiable function with f(2, 3) = 4, fu (2, 3) =…

A: Given that gx,y,z=x fyx2,zx3 where f2,3=4, fu2,3=5 and fv2,3=6 To find: gy1, 2, 3.

Q: (a) Give the centre c and the radius r of S = B(0,5) B(3, 4). (b) Which of the following are neither…

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Q: QUESTION 2 a) For a function f the divided differences are given by Xa=0.0 T₁ = 0.4 X₂ = 0.7 Axx=10…

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Q: 1=₁x-e³dx Obtain the numerical integral of the integral by dividing the integral into 5 equal parts…

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Q: 2. Let T : R³ → R³ be the operator given by -1 1 0 0 −1 1 0 0 – 1 - T(v) = = v. Determine whether T…

A: given matrix T=-1100-1100-1 determine whether it is decomposable or indecomposable.

Q: Given the supply and demand functions of good p = x² + 2x + 12 p = -x² - 4x + 68 Calculate the…

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Q: 2. Consider the following vector 1 v= = [1, 0, √6 (a) Write a projection on this vector. Proof your…

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Q: 2. Using quadratic interpolation find In 9.2 from In 8.0-2.0794, In 9.0-2.1972 and In9.5-2.2513.

A: The given problem is find the approximate value of ln(9.2) from the given data by using quadratic…

Q: x' = 2 -5 1-2, X

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Q: B/ solve the following linear programming problem using graphical method Min (z) = 300x₁+200x2 S.T.…

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Q: The River Clinic has two general practitioners who see patients daily. An average of six patients…

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Q: Use the Chain Rule to find at aw w = x² + y² + z²; x = 10tsin s, y = 10tcos s, z = 9st² əs Find the…

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Q: For the given p-series, identify p and determine whether the series converges. P = . Therefore the…

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Q: = cosx (sinx). 2. Find the Fourier series on -≤x≤π for f(x) =

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Q: 2) let B be an extension of a Banach algebra A with unit. Then [nr (B) please prove it. (3) Inv(A)

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Q: Q.4: Find the third order Lagrange interpolation polynomial using the following table to compute…

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Q: 9. Let 2 be a bounded open subset of C, and y: → a holomorphic function. Prove that if there exists…

A: From the above details we get,

Q: /Solve the following linear programming problem using the graphical method Min (Z)= 20X+30Y…

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Q: 2. Consider the integral [² si which can be computed exactly. a) Apply Romberg integration to…

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Q: (a) Suppose the functions f and g are continuous on [a, b], differentiable on (a, b), and g'(x)0 for…

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Q: Do the following to enhance your learning. 1. Construct a table of values of the following functions…

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Q: 3. Consider the Initial value problem ry' = y + r ln(r); y (1) = 2 (a) Estimate y(1.5) using Euler's…

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Q: Q3: Michal has a 100-acre farm and plans to plant at most three for crops A, B and C costs $40, $20,…

A: Let the crop A be planted on x acres crop be planted on y acres and crop C be planted on z acres…

Q: The general solution of the DE +4-5y=0 dy² y = Ae* + Be5x Option 2 O y = Ae* + Be-5x y= Ae* + Be-5x…

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Q: 3. (a) Discuss convergence of the sequence {n} defined by the recurrence relation ₁ = 2 and n+1 = (n…

A: We have to discuss the convergence of the sequence xn defined by the recurrence relation x1=2 and…

Q: Q1:A/ The Office Supplies Company offers two types of pens, the first type has high specifications,…

A: Since you have posted a multiple question according to guildlines I will solve first(Q1A)   question…

Q: Find the arc length of the curve below on the given interval. y = In (x-√x² - 1), for 1 ≤x≤ √442…

A: Given y=lnx-x2-1, for 1≤x≤442   To Find: The arc length of the curve given on the given interval.