a 3d vector field given by V=5xyi+5yj-4zk represents the flow of water out of a system. use gausses theorem to find the overall flow out of a section of a cyclinder  described by pi/2

Q: 2. (a) LEEDS1060 What is the elementary matrix corresponding to the row operation 10 R₂ → R₂ + 3R3…

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Q: 1. Find the trigonometric Faurier Series of the Function defined by: f(x)..=. IX.+.... if πT. EX. <.…

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Q: ADVANCED MATH (You may use excel for solving. Rate will be given.) See the following system of…

A: We can solve this using LU decomposition method And gaussin elimination method

Q: 2 - y², y = − sin (727), and Let R be the region below enclosed by the curves x = x = -1, as shown…

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Q: The coefficient matrix A below is the sum of a nilpotent matrix and a multiple of the identity…

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Q: 4. (a) 129105 2012910 (a, a, a), v₂= (a.a+1, a + 1) and v3 = (a, a, a + 1) linearly independent? For…

A: Find the answer below.

Q: Find the eigenvalues, and for each eigenvalue give a basis of the corresponding eigenspace. 1 1 1 -2…

A: We will use matlab to solve this question

Q: Determine whether the Fourier series of the following functions converge uniformly or not. a) f(x) =…

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Q: 2 Ex: Expand fit) = +² o<t<2π in a Fourier Series expansion Sol: 2 L = 2 TT VA L = π -41 -21 2tr 27T…

A: We need to find , an  an = 1π ∫02π t2 cosnt dt Here , apply u - substitution. Plug , u = nt ⇒ du = n…

Q: Linear Algebra Find a vector in the Span{v1, v2} that is orthogonal to v1. Then use v3 to find a…

A: The given vectors are: v1=123, v2=321 and v3=213

Q: Given positive integers k and m, there exists an integer N ≥ m such that

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Q: PA(X) = X" +C₁X-¹ +...+₂

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Q: for the given vector field F and the oriented surface S. In other words, find the F(x, y, z) = zexi…

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Q: Problem 3. Let A be a complex nxn (n ≥2) normal matrix. Suppose that λ = 1 is an eigenvalue of A of…

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Q: For each of these collections of premises, what relevant conclusion or conclusions can be drawn?…

A: Solution:-

Q: y” − 2y' + 5y 8e¯ª, y (0) ³, y (0) = 2, y’(0) = 12 =

A: It is known that: L{f(n)}=snF(s)−sn−1f(0)−sn−2f'(0)−⋯−sf(n−2)(0)−f(n−1)(0) Hence, it can be written…

Q: A trapezoid is a quadrilateral with two and only two sides parallel. The parallel sides of a…

A: Given a trapezoid and the coordinates of its four vertices as 3,0,0,3,-4,1,1,-4 To find the length…

Q: Find the general solution to t²y" + 2ty' - 2y = 0 given that y₁ (t) = t is a solution.

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Q: 4. Find a Taylor series approximation to the function y = f(x) = x³ + e¹-2x x5 at the point x = 2 up…

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Q: Given R = { (x,y) ϵ R | x^2 = y^2, x,y ϵ A } on A = {1, 2, 3, 4, 5}, which of the following…

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Q: 3 4] 1 1 0 3 -1 4 Let A = 00 22 0 0 13 Refer to the matrix above and answer the following questions.…

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Q: P3: Calculate the volume of solid of revolution when the region bounded by y = sin 2x and x²-y-2=0…

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Q: (a) (i) Calculate (4 + 6i)². (ii) Hence, and without using a calculator, determine all solutions of…

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Q: Answer the riddle below by solving the following measures of position. Write your interpretations on…

A: Given riddle "What can you break, even if you never pick it up or touch it?"

Q: The following questions refer to a capital budgeting problem with six projects represented by 0-1…

A: Solution : a) Situation in which exactly three of the projects 1,3,5 and 6 must be undertaken   x1+…

Q: Ex. 29 Give the Cayley table for the group Z₁2 under multiplication modulo 12.

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Q: Q/if A=(2, -4, 6) and B=(4,-2,5) Find the unit vector of AB

A: A=(2, -4, 6) &amp; B=(4, -2, 5) unit vector of AB→ is AB^=AB→AB→

Q: 2) A medicine company has a total profit function P(x) = − C x² + B x + A, where x is the number of…

A: By putting the values A=20,  B= 0270,  C=270 in given profit function we get p(x)=-270x2+270x+20 We…

Q: P/ by method of variation of Parameters -X Find Y-Y = e sine دیگا

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Q: b) A periodic function f(t) with period T = 2π is defined as: f(t) = t, for 0 ≤ ≤ t 10 for -≤t≤0…

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Q: Does the series converge or diverge? If it converges, what is the sum? Show your work. Σ1-4…

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Q: 7. Calculate the APR for an 8% per annum nominal rate of interest compounded continu- ously.

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Q: Obtain the Fourier series of the following function. f(t)=|t| -2<t<2 f(t+4)= f(t)

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Q: Suppose a coin is tossed FOUR times. Define Ω = {(x₁, x2, x3, x4): x¡ = [0, if ith toss is head 1,…

A: Solution: Note :As per our policy, we are allowed to answer only first two parts of question kindly…

Q: Assume that T and S are matrix of the same size. Prove or Disprove that (T + S) 2 is a symmetric,…

A: Given   T  and   S are matrix of same size. We have to prove if  T+S is symmetric, skew - symmetric…

Q: A convergent sequence is monotonic. A) True B False

A: We check whether a convergent sequence is monotone.

Q: Solve for the given systems of linear equations. Solve for the unknown variables using all four…

A: Since you have posted multiple questions We are supposed to give solution of first one only...…

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

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Q: 35-36 Write five other iterated integrals that are equal to the given iterated integral. 35. f f f f…

A: Given ∫01∫0x2∫0yfx,y,zdzdydx

Q: Q1/ Solve the initial value problem (IVP) of the differential equation by using the appropriate…

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

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Q: Consider the following first-order ODE: dy =y+x³ from x = 0.5 to x = 2.1 1with y(0.5) = -1 dx Solve…

A: Given differential equation is dydx = y+x3    from x=0.5  to  x=2.1  with y0.5 =-1 Take fx, y= y+x3…

Q: Problem 3.2: Let the p.d.f. of the continuous random variable X be the expression below. Compute:…

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Q: 7. For the following function: 4 0 <t<l .f. (.t.)..=. 1<t<2 a. Find the complex. Fourier Serries...…

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Q: (6.47) (T4)-(r-3.6)

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Q: 3 f(z) = zº ; S = {z EC: |z| ≤2, Im z ≥0}

A: Follow the steps.

Q: An increasing sequence is convergent. A True B False

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Q: 7. The function f(x, y) = 3x² - 6xy² - 4y³ has two stationary points. Find both of them. You are NOT…

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