Question THIAL ADJ (a) Find the infimum and supremum of the set S = - {2-(-D²":1€N} (b) Prove or disprove: If a set SCR has a finite infimum then there is a point a ES such that for any given > 0, then inf S+ ε > a > inf S (c) Prove or disprove: Given a subset SCR that is nonempty and bounded below, Then S has a finite infimum.

Q: Using fixed point iteration, find the first approximate root of the equation cos x=3x-1 up to 4…

A: Part(1): option(2) is correct Given cosx=3x-1 →cosx+1=3x   So

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A: Solution :-

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Q: -W cos+ s sin s²+w² S³ (s²_2s+2)(s²+2s+2)] S-3 (2-2) -s²-6s d. L-1 e. L-1 f. L-¹

A: NOTE: According to guideline answer of first three subpart can be given, for other please ask in a…

Q: III 1. dt2 fip +6- dt and the gen +8y=2e-3t am to nor 2. d'y dt2 fip +4 +13y=et dt 3. +10y = e

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: 8. Given the parallelogram ABCD below, with E and F the midpoints of sides AB and CD, AF||EC, and BP…

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Q: Example 8.23. Evaluate using Gauss formula for n = 2 dx 1-1 1+x² and n = 3.

A: The problem is solved using Gauss formulas for n=2 and n=3.

Q: Please answer with complete solution. Let A be the curve containing of the line segment from (0, 0)…

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Q: 6. Check the convergence of the following series: (a) Σ (1+; )" 8 tan-¹n (b) 1+ n² 1/n (0) Σ…

A: For a convergent series, the general term always converges to zero as n approaches infinity. If the…

Q: Q2: (A) Choose the correct answer for each of the following: 1. The cancellation law holds in a. any…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Example 8.27. Using trapezoidal, rule, evaluate I = ²² dxdy, taking four sub-intervals. 11 J1 x + y

A: problem is solved using trapezoidal rule.

Q: 2.) Solve Implicitly 3 (2xy +) dx + (3x³y² + siny) dy =o

A: Here we have to find solution of given differential equation.

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Q: Example 8.15. The velocity vlkm/min) of a moped which starts from rest, is given at fixed intervals…

A: Consider the given table of values, t 2 4 6 8 10 12 14 16 18 20 v 10 18 25 29 32 20 11 5 2 0…

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Q: $0.5 Josh (sin x) d dx using Romberg's method, correct 30 Example 8.20. Evaluate the integral to 3…

A: Solution :-

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Q: 5. Calculate the L and U matrix and proof that PA=LU. 10 -7 0 A = -3 26 5 -15

A: Firstly I find lower triangular matrix LL and an upper triangular matrix UU And the show that PA=…

Q: (B) Find the zero-divisors of Z6.

A: Here we have to find zero divisors of Z6 .

Q: 3. Determine the values of X (X1, X2, X3, X4) and Y (y₁, Y2, y3, y4) using LU Decomposition. 1 2 -1…

A: Here the system is AX=b  Using Gauss elimination process for this decomposition PA=LU  Y=UX  LY=Pb

Q: [− 1 + 2 + Á − x = ¹P xp

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Q: Six second-order equations and four y(t)-graphs are given below. For each y(t)-graph, determine the…

A: As per guidelines we can do only 3-subparts.

Q: figure out absolute min & max values: g(x)=cos^2(x)-3sin(x) | AMALIA Dumatinnn. Interval: 0x<=pi

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Q: Q1: (A) Write True (T) in front of the true statement and false (F) in front the false statement: 1.…

A: 1. Every subset of a ring R is also a ring. (F) 2. THE elements 1 and 3 are nilpotent in the ring…

Q: 10 f(x) dx is exactly 5 1 A 5 f(5x+5) dx 5ff(² -1 1 B f(2.5x+7.5)dx -1 1 Ⓒ5 (2.5x (C) (2.5x+7.5)f(x)…

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Q: solve by finite difference ²x - ²)x=t dt²

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Q: .: Locate the centroid X of the shaded area shown. 1m Y 1m X

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Q: 1. Write the dual problems of the following LP model: min z = −3x₁ +5x₂ + 6x3 − 2x4 - x₁ - 2x₂ +3x₂…

A: As per the question we are given an Linea optimization problem in four variables. And we have to…

Q: Example 9.14. Solve yx+1Y+ (x + 2)yx+1 + xy + x² + 2x + 2 = 0

A: Given problem is a polynomial  Let us start solving the problem step by step  We must find the value…

Q: 31-32. The limit below represents the derivative of some function f(x) at some number a limh- ->0…

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Q: 1Q Find out the power series solution around x=0 for the equation y"+xy'—2y = 0.

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Q: find ди ds and dw dt

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: (e) Calculate the length of AC in metres. (d) Show that the length of BC is 19.1 metres correct to 3…

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Q: =^2(x)-3sin(x) Ir

A: The given function is: gx=cos2x-3sin x, where 0≤x≤π The relative extremum exists at critical points…

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A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: 1. Compute u + v and u-2v where u = 2 -5 and v= 1 2

A: According to guidelines i solve first question only so kindly request you to repost the remaining…

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Q: Q4. Solve the given ODE using the method of undetermined coefficients. - y" - 4y = (x² − 3)(sin2x)

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Q: Use energy method to show that the following PDE p(x)un - [k(x)uz q(a)u, 0 0, u(0, x) = u(0,r) = 0,…

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Q: Q1-A) Test the following sequence whether it is converging or diverging:- 2n 2. = [0.25m 2 ) ]…

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