Examine the convergence of the sequence an=sin2n/2n whose general term is (an) Find the limit with convergent

Q: Let f(x) = 2x2 - 1 and g(x)= 1 + x². Find (f o f)(x). O x* +2x² +2 4 O 4x4 – 4x2 + 2 | 4 O 2x* + 4x²…

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Q: Problem 3 Let R be the relation on the set of ordered pairs of positive integers such that ((a, b),…

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Q: Suppose A is a symmetric nxn matrix and B is any nxm matrix Show that B'AB, B'B, and BB' are…

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Q: Q3/ The value of k such that P2 (1) = 2.8, 2 |k 4 f 1 2 Is

A: Given are some values of x and f. Also, given P2(1)=2.8 First we calculate P2(x) using Lagrange…

Q: The (3, 1)-cofactor. The (3, 3)-cofactor.

A: We have to find the cofactor of (3,1) and (3,3).

Q: Let Rabed denote the covariant Riemann tensor. Prove the first and second Bianchi identities that is…

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Q: 7. Let X be a normal random variable with parameters u = 10 and o? = 36. Compute P(4 < X < 16).

A: Given that X is a normal random variable with mean as 10 and variance as 36 so standard deviation is…

Q: Zmax = 8x1 Subject to: 3 X1 + X2 s 45 1 < 20 Xns

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Q: In the 1930's LF. Richardson proposed that an arms race between two countries could be modeled by a…

A: given  dxdt=-0.45x+10.5dydt=8.2x-0.8y-142 (a) find the equilibrium points for equilibrium points put…

Q: 9. Use the method of undetermined coefficients to solve the given system -4 X + 4t +9e X' %3D

A: To find- Use the method of undetermined coefficients to solve the given system X' = 1-441X + 4t +…

Q: Is there a sequence of continuously differentiable functions: fn : R –→ R such that fn → x and f. →0…

A: Yes, the sequence is given in step 2.

Q: ) Find the Laplace transform F(s) = L {f(t)} of the function f(t) = 2 sinh(at) – 8emt defined for t…

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Q: Use the definition of the Laplace transform, L{f (t)} = | e-st f (t) dt to find the Laplace…

A: The given problem is to find the Laplace transform of the given unit step function with using the…

Q: s+1) (a) L-1 4s2 +1 (b) L-1 s4 + s] (e) E{/ c{[e cos(r) dr.

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Q: Find a particular solution to -8.5et y" – 4y/ + 4y t² +1 Yp %3D

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Q: 9. Use the method of undetermined coefficients to solve the given system 4t +9e X' = ーI+ e

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Q: Let 9 P = 15 2e3t – 6e 3et – -4e3t + 2e -6e3t + 5e¯ ỹ1(t) [3e - 15e+| V2(t) = a. Show that j1 (t) is…

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Q: find ĕ = 1tiG residues Re12) Satis fies the equation

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Q: find residue

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Q: ind the coordinates of the image. 10- Rx-3(U) 5- 5 "10- Rx-3(U)=(Type an ordered pair.)

A: In this question, a point is given and this point is reflected along the line x=3 to form a new…

Q: Let x(1) = c,cos(5 t) +c,sin(5 t) be a two-parameter family of solutions of the Let y =c,e*cos(5 x)…

A: To find which of the given option is correct, about the given differential equation :-

Q: 2. a) Estimate the area bounded by the curve and the x-axis on [1, 6] using the 5 equal subintervals…

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

Q: Problem 3 Let R be the relation on the set of ordered pairs of positive integers such that ((a, b),…

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Q: 9. Use the method of undetermined coefficients to solve the given system 4t +9e X' = 4 %3D

A: Given that X'=1-441X+4t+9e6t-t+e6t            (1) let                                 A=1-441 The…

Q: Use cylindrical coordinates. Find the mass and center of mass of the S solid bounded by the…

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Q: Suppose the function g is on the interval [a, b], and |g(x)|< B for all x E R. I) Prove that |g(x)?…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find, the domain of each of these, ped pred cates where the doman is the set of untegers లు రుంకు

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: 2. Compute each indicated cofactor of the matrix: 9. -2 4 A = -1 6. 3. -5 %3D 7 8. The (3,…

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Q: 2. (MS) Consider the relation R5 on P({0,1,2,3}) such that (A, B) e Rz if and only if |A| = |B|.…

A: Since you have posted multiple questions and we can answer one question. So, answering the first…

Q: Q3/ The value of k such that P2 (1) = 2.8, 2 4 of 1 2 Is

A: Lagrange interpolating polynomial for n=2 is:…

Q: . Let S be the part of the sphere r + y +z2 = 4 located above the plane z = 0, oriented at the point…

A: Here we can use divergence theorem to find the flux. Theorem states that If S is a closed surface…

Q: 4. The area of the region between the curve y=x* and the line y%3D4 is divided into equal partitions…

A: Given curves are y=x2 and y=4.Also given that y=c divided into equal parts of the area.

Q: ata is summarized by the stem and leaf plot below. Stem Leaf 1000011 22344589999 2 012366778889…

A: 1. 18 appears one time in the data set therefore first statement is false 2. the value 39 appears 4…

Q: The network and communication systems attached to the smart grid, including the routers and…

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Q: Calculate the missing value in the truth table below: and not 0 1 0     1 True False Group of…

A: consider the table  and not 0 1 0     1 true False

Q: Suppose that the fundamental group of X is Z and p(xo) is finite. Find the fundamental group of X.

A: Given fundamental group of X is  ℤ and p-1(xo) = finite value Now we have to find the fundamental…

Q: Determine the radius of convergence of the power series (-1)"n2(x + 1)" 2" n=0

A: Radius of converges for the power series

Q: dx In x

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Q: Q1/ Using newton's backward difference fomula find the approximate value of y(-1/3) when y(-0.75) =…

A: We can solve this using newton backward difference formula

Q: 5. Expand a function f(x) in: 1. Fourier sine series on 0 < x <l, 2. Fourier cosine series on 0 < x…

A: Given, f(x)=1   , f(x)=x    , f(x)=x2 To find: Fourier sine series on 0&lt;x&lt;l for the given…

Q: Find a particular solution to -18.5e-21 y" +4y +4y = t2 + 1 Yp =…

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Q: sform of s+2 s° (s+1)(=

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Q: 1. Find the unique solution first-order boundary value problem 2ru, +4r u, +6u=-2zte u(0, y) =…

A: As per our guidelines we are supposed to solve only one question that is the first one.For the…

Q: Consider the following two graphs G1 = {{a, b, c, d, e, f}, {ab, a f, ae, bc, bf, be, cd, cf, df,…

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Q: 3 2 A = find the general solution of 4 j' = Aỹ + g, § =

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Q: Solve the differential equation (D+ + 5D² + 4) y = sin x + cos 2x.

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Q: (x^2-x)y"-xy'+y=0

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Q: Find a particular solution to -18.5e-21 y" +4y +4y = t2 + 1 Yp =…

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Q: そ-f (xy)

A: Given,  if Z=f(x, y), and u=x-y,  v=x2-y2 To prove that                        ∂Z∂v=∂Z∂x+∂Z∂y2u…

Q: Find the quotient of z1 & z2, leave answer in trigonometric form: z1 = 2 – 3i & z2 = 1 – V3i

A: Introduction: Division is also performed between two complex numbers. But in order to convert the…