The answer to this question is converges but I do not understand how to use the comparison test. Sources say to use 1/(n^2+1)<1/n^2 but I have no idea how this relates to the problem and how that can allow us to deduce the answer.

Q: (b) Show that M is diagonalisable over R and write down its three eigenvalues, ordered in such a way…

A: Note:- Diagonalization Theorem:- A  n×n  matrix say B is Diagonalizable if              1. The sum…

Q: Tuán:- Given the function R(+) = ( + -cos) i² + (sinds +3K, use the directed - product for mula to…

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Q: A B с E LL [Choose ] [Choose ] f(x) = 5cos(x) f(x) = cos(x) -4 (x, y+5) f(x)=cos(x)+ 5 (x, 5y) (x,…

A: In this question, the concept of transformation is applied. Transformation A transformation is a…

Q: Cho hàm số 12-2t+17 | t1i – ²_-2+¹3 + (t² +4)k, nếut‡1 t-1 ai + bj + ck, nếut=1 Tìm các giá trị của…

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Q: 3. Graph a rectangular prism with edge length of 6 units, width of 8, and height of 10. Be sure to…

A: To graph a rectangular prism with the edges as, Length=6 unitsBreadth=8 unitsHeight=10 units

Q: raw the Projections of the curve on

A: Given,        r(t)=t, sin(t), 2cos(t)

Q: (у) ну- (-см ) - уве Сай

A: Given differential equation is xy - dydx = y3e-x2

Q: 2 2 X = {K_EW : S" (Lu' (+)/² + 9 ª 14(+)1³)dt< =0} O why this is inner Product ?

A: Given: X=u∈W:∫0∞u't2+92ut2dt&lt;+∞   To explain: Why the given condition represents an inner…

Q: an be the number of {A, B}-strings of len number of B's. Let a) Find a recurrence for the sequences…

A: If you have got to style a daily expression for strings that have a good number of a's and an odd…

Q: Prove that simple random walk on a finite, connected, and undirected graph is aperiodic if and only…

A: Given that: G=V,E is bipartite if V=V1⊔V2 with E⊆x,y:x∈V1, y∈V2. Equivalently, G is bipartite if it…

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Q: Optimum Control Problem using Hamiltonian 2. min_ J = √²³ (y₂ + u² − µ₁U₂)dt • s. t. Y′₁ = U₁_ Y₁(0)…

A: As per the question we are given an optimization problem of a multiple input multiple output (MIMO)…

Q: Find the area of the loop bounded by the curve a^3y^2 = x^2 (a-x)^3. Sketch this and label the…

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Q: QA why cis Banach space? let c= {UE C([0,+A)): SUPTE [0, +∞) |u(t) | <+0}

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Q: g) Find the Fourier sine series of the function f(x)=-100¹0(-<x<n); f(x)= 100¹0 (0<x<n)

A: We have to find the Fourier sine series of the function  f(x)=-10010if -π&lt;x&lt;010010if…

Q: Let u = -7 5 -6 , V = -7 7 equation 5-2 -6 6 7 -2 6 X₁ x2 X₁ X2 (Simplify your answers.) and w= - 14…

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Q: Write the limit as a definite integral on the interval [a, b], where c, is any point in the ith…

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Q: ed. Proof omitted.) iformly continuous to

A: Given: f:(a,b)→R is continuous. Take f be unbounded and exists as c∈(a,b),f(c)=∞.

Q: The owner of a restaurant decides to poll regular customers to choose which dish she’ll submit to an…

A: Given the data of casting votes to select a dish for an annual competition. The voters give…

Q: Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule. Estimate…

A: By Trapezoidal Rule  ∫abf(t) dt≈h2ft0+2ft1+2ft2+2ft3+ft4h=b-an=π-04=π4 Divide the interval 0,π in 4…

Q: Give one indicated root (2√3 - 2i)¹/2 a. 2 cis 330° b. 2 cis 67.5° c. 2 cis 165° d. 2 cis 167.5°

A: We have to solve given problems:

Q: Consider two weighted voting systems  system A has 50 players and system B has 48 players. The…

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Q: 1. Evaluate the ff (-1/2 + j/2) raised to the 4th power. a. 1/8 b. -1/4 C. -3/4 d. 1/3 I

A: Follow the steps.

Q: I obtained a product that has a certain composite or mixture as a base this composited is for a…

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Q: Part II. Direction: Solve for the root and the iteration function g(x) of the following functions…

A: As per the question we are given the following function : f(x) = (x-2)2 - ln(x) And we have to find…

Q: Q7 Define f(x)=³-3x+1, and o(a)=x²-2. The following information will be useful: f is irreducible…

A: According to the guidelines, we are required to solve the first two sub-questions. Kindly, re-post…

Q: Using integration, find the area of the triangle with vertices at (2, -5), (6, 2) and (4, 1). Sketch…

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Q: Let A and B denote 3x3 matrices, prove the following matrix transpose laws. Provide your own matrix…

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Q: Find bases for the colume space the row space and the 3 A- 6 15 1 column space of A- -YAR

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Q: Solve it using all three methods (a) Undetermined Coefficient (b) Variation of parameter (c)…

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Q: (77) (04-70° + 180² - 200+ 200+8) V = 0

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Q: Prove that if P, Q, and R are three points on a line, then exactly one of the points is between the…

A: Assumption: Let the points P and R lies on the line and Q outside.

Q: Let R be the solution region for the system of inequalities { x² +9y² - 18y ≤ 0 y² + 2y = x² > 0 a)…

A: The system of inequalities is provided as: x2+9y2-18y≤0y2+2y-x2&gt;0 The solution region is R and we…

Q: corresponding to it, it Y(x) = X are solutions of the determine a particular solution. NOTE: Enter…

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Q: 2) Let V be an F vector space and let V₁,..., Vn be a subspaces of V. The point of this problem is…

A: NO, Because the definition of direct sum in vector space can be defined as  V = V1+V2+......+Vn and…

Q: a. Draw the directed graph corresponding to the adjacency matrix. [101] 1 0 2 1 2 Lo b. Using the…

A: We use the properties of directed graph and walk of lengths.

Q: 5. (x² + y² + x) dx − (2x² + 2y² −y)dy = 0 [Answer : x - 2y + log(x² + y²) = c]

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Q: 1. Convert the base two positional numbering system value 1100 0111 0110 1001 0111 1110 into the…

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Q: Given y(4) 2y"" – 4y" + 8y' = t² - 7+t sint, · determine a suitable form for Y(t) if the method of…

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Q: Determine the recursive formulas for the Taylor method of order 4 for the initial value problem…

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Q: X' = Write the given linear system in matrix form. Assume X = dx dt dy dt X' = DETAILS dz dt = x - y…

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Q: A farmer has 150 acres of land suitable for cultivating crops A and B . The cost of cultivating crop…

A: Given- A farmer has 150 acres of land suitable for cultivating Crops A and B. The cost of…

Q: Using integration, find the area enclosed by r = a(3 - 2 cos θ). Sketch this and label its important…

A: Follow the steps.

Q: (b) Find the volume of the solid obtained by rotating the region bounded by the curve y=x²+x-2, y =…

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Q: A chemist has two acid solutions, one that contains 14.0 % acid and another that contains 27.0%…

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Q: Question 1a. [3 Suppose that in a random experiment you observe the number of printers used at a…

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Q: How many integers have inverses modulo 144? Justify.

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Q: M/I R = 1/4 R=1 0.55 reten ✪ r=0.5cm 1

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Q: Find the general solution of the system x' (t) = Ax(t) for the given matrix A. A = x(t) = 3 7 - 1 7

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Q: Part II. Direction: Solve for the root and the iteration function g(x) of the following functions…

A: