(a) What is the set of subsequential limits? Justify your answer. (b) What is the lim inf and lim sup? Justify your answer. (c) Does the limit exits? Justify your answer.

Q: Consider the following functions. (a) f: RX → GL₂ (R), f(a): = (b) f: RX → GL₂(R), f(a) = 0 1 10 (i)…

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Q: au at a²u 28. Solve Əx² U(x, 0) = 3 sin 2+x, U(0, t) = 0, U(1, t) = 0. = where 0 0 together with…

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Q: Solve the system by using elementary row operations on the equations. Follow the systematic…

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Q: Using two steps of the Gauss- Seidel method, find an approximate solution to the problem Ax=b where…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: What is following product: diag(a₁,.., an)diag(b₁,.., bn)? When will: diag(a₁,.., an)diag(b₁...,bn)…

A: This question from properties of matrix and determinant.

Q: Q.5 Consider the Sturm-Liouville problem d x(xy')+(2-1)y=0, dx y'(1)= 0, y'(e)=0

A: Given,                  xddxxy'+λ-1y=0,       y'(1)=0, y'(e2)=0

Q: lim n→∞ n² n² 9n² +10n +3 = 9.

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Q: Question No. 5) Show that a partition of a set S determined equivalence Relation on set S. (

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Q: 1. Karen is a hobby farmer from near Toowoomba in Southern Queens- land. She sells the lettuce she…

A: As per company guidelines we are allowed to solve maximum three sub-parts so i am solving first…

Q: How many different three digit numbers can be formed using the digits 9,6,7,8,5 and 4 with…

A: Given digits, 9, 6,7,8,5 and 4 Total numbers of given digits = 6

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Q: If no twin sits together, how many different ways may n twin sit in a row?

A: Given there are n twins condition is no twin is sit together So,  There are two possible…

Q: Let A be a 3 x 4 matrix such that solutions to AX = 0 are linear combinations of X₁ and X₂ where (b)…

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Q: Consider the follow system x=x₂-¹ 1x6₂ = x4²-34-35₂ + a) find the equilibrium points of the…

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Q: Using 4 steps of the Power method, with qo=(1,0,0), find an approximation to the largest eigenvalue…

A: Given: The matrix is A=123231312 and the initial vector is q0=100T or  q0=100. To find: The…

Q: An initial value problem, or [answer], is a differential equation whose solution is subject to…

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Q: 1. For given fuzzy number A={(3/0,4); (4/0,6)(3/0,8)(4/1)}; B={(2/0,7):(3/1): (4/0,7)}. Determine A+…

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

Q: Let g (x, y) ) = 11 sin(xy) — 13x² ln(y) + 20. Find the degree 2 polynomial, p, which best…

A: Given: The function is g(x,y)=11sin(xy)-13x2ln(y)+20 To find: The degree 2 polynomial which best…

Q: 47. The 4 by 4 Hadamard matrix is entirely +1 and −1: 1 1 1 −1 1 −1 1 -1 −1 1 154 H= = 1 1 Chapter 2…

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Q: Use Stokes's Theorem to evaluate F(x, y, z) = z²i+yj + zk S: z = √√16x2 - y2 6 F. dr. In this case,…

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Q: the unit circle S¹ = {(x, y) = R² ; x² + y² = 1} homeomorphic to the sequare T = {(x, y) = R² ;…

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Q: Find the direction field for the given DE. By hand, sketch an appropriate solution curve passing…

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Q: Usé the properties of exponets to write an equivalent expression for (3 times 6) to the power of 2

A: 3 times 6 = 3×6                    = 18                   =16 +2                   = 2^4 +2…

Q: prove that any finite dimensional normed space is reflexive.

A: Let us suppose that we have a finite-dimensional normed space, X For any natural number, n, let…

Q: Let X₁ = eg(t) [eW(t) + e−W(t)] where g(t) is a function of t. (a) Use the Ito formula to compute…

A: Given: The function of t is gt and Xt=egteWt+e-Wt. To find: (a) The expression of dXt by using Ito…

Q: Consider N column vectors in RN where the ith element of the j¹ column vector is: e = {0,ifi #j = j…

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Q: 5. (4n-1)(7n + 2)

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Q: Prove that the trivial G is faithful if and only if G = {1G} representation of a nite group

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Q: Problem 2. Let f(x,y) = Compute fry (0,0) and fyr (0,0). xy(x² – y²) x² + y² 0 9 2 (x, y) = (0,0)…

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Q: Manufacturer makes two types of electric hammers, heavy duty and regular. Heavy duty model requires…

A: Given: It takes 3 hours to assemble a heavy-duty model, plus another half hour to complete and box…

Q: 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37 and 38 Describe in words the region of R³…

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Q: Find (V.VxF), where F(x, y, z) = ln xî+exyzj+tan-¹ k.

A: According to the Bartleyby guideline, only one question can be answered. Please repost another…

Q: aph 17 d: R² x R² → R²; x = (x₁.x2). y = (v₁.32) € R² miny2-x2.1) if x₁ = y₁ d(x,x) = { min…

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Q: A downtown parking lot charges $5 per hour for the first 2 hours, then $2.50 per hour after that.…

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Q: Find the derivatives of the following functions, simplifying your answers. (a) f(x) = x²/3 +…

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Q: Please teach how to solve not just solve -0... What is i'x? NX1 What is MºMº? What is x'Mº' Mºx ? X…

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Q: Please teach how to solve not just solve (concepts) | Prove that: a) b) if X-1 exists, then it is…

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Q: y = X y = y Use exponential regression to find an exponential function that best fits this data. 1 2…

A: Using exponential regression : y = 479.3801× e^1.1109x  Using linear regression : y = -77006.133 +…

Q: Given X = {1,2,3,4,5,6). Determine the T() of the following 3. E = {{1}} 4. E= {{1}, {2}, {3}, {4},…

A: Tau(Sigma) denotes the topology generated by the set 'Sigma'. So, (i) the null set phi and whole set…

Q: Evaluate. [s=231s+2 Σs = 231s + 2 If the answer is not an integer but a fraction, do not change it…

A: Given that ∑s=231s+2∑s=231s+2

Q: b. Let A and B be elements in Sn T. Show that An BE S N T. c. Let A¡ be elements of SnT for i € I.…

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Q: Ramzay Kitchen ordered kitchen flatware, dinnerware and cutlery having a total list price of RM…

A: First we calculate the trade discounts to find the invoice of the items.  Then use the term of 3/15…

Q: The strain tensor e;jis given by the following expresión: eij 1 x X1X3 x² x₂ X3 x1x3 x² 5a² where a²…

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Q: previous case, we can write where Hence, for z # 0, f(z+h)-f(z) -ΣnCnz"-1 =ΣCnbn, h n=0 n=2 If z =…

A: Given information: fz+h-fzh-∑n=0∞nCnzn-1=∑n=2∞Cnbnwhere,bn=∑k=2nnkhk-1zn-k Also, nk=nn-1 · · ·…

Q: the vectors y₁, y₂, Y3 (where y; E R² V i) must be linearly dependent?

A: Given the vectors y1, y2 and y3 in the vector space R3.

Q: The initial temperature T(x, 0) of a slab of material with thermal conductivity K and unit thickness…

A: Heat equation with given conductivity k is ∂T(x,t)∂t=k∂2T(x,t)∂x2        (1) Given conditions are…

Q: Consider building a binary search tree for the digits 0-9 using standard numerical order. (a) Draw…

A: Given digits are 0,9,2,7,5,3,1,6,8,4 Binary search tree Algorithm: 1: Left subtree is lesser than…

Q: Let A be a 3 x 4 matrix such that solutions to Ax= 0 are linear combinations of X and X₂ where…

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