Let A and B be sets. Prove that A union B = A intersection B if and only if A = B.

Q: Use the phase-plane method to show that the solution to the nonlinear second-order differential…

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Q: The Fourier cosine series of the function is given by f(x) = - 2x if 0<x< π/2 π 0 if π/2<x<« f(x) ~…

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Q: Find eigenvalues and eigenvectors for the matrix The smaller eigenvalue The larger eigenvalue has an…

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Q: A. Ch-ch-ch-ch-changes Suppose all vectors = (x, y) in the unit square, i.e. 0 ≤ x ≤ 1, and 0 ≤ y ≤…

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Q: The Fourier cosine series of the function is given by where Co= and C₁ = f(x) = 2x 0 < x < π/2 T 0…

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Q: Which of the following linear programming model has bounded feasible region? max z = 3x + 2y subject…

A: (a) Max z=3x+2y subjected to  x+y≤10x+2y≥2x≥0y≥0 Hence the model has bounded feasible region (b)…

Q: Use the divergence theorem to write a triple integral that is equivalent to the flux integral S = 64…

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Q: Consider the curve C: y=cos x. You may assume that for all values of x = [0,1/2] the curve C lies on…

A: given y=cosx and 1-2xπ≤cosx≤-x2+4+π42 integrating both sides , we get ∫0π21-2xπdx≤∫0π2cosx…

Q: The linear tranformation L defined by maps P₁ into P. (a) Find the matrix representation of L with…

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Q: Draw a graph with numbered nodes and numbered, directed edges whose incidence matrix is A || 1400 -1…

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

Q: use variation (D²-1) = ex - e-x of parameters. r to solve the equation 2

A: Find Roots of auxiliary equation Complementary solution Particular solution by variation of…

Q: Gauss’s law says that the electric flux through any closed surface is equal to the total charge…

A: The charge contained inside a cube with vertices at (±1, ±1, ±1) when E =&lt; x, y,z &gt;…

Q: vector u. 30° x y v b a 13       Question content area bottom Part 1 The horizontal component of u…

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Q: Given a vector field F= (-y,x,0), compute the following results: (You should use any integral…

A: The given vector function, F=-y,x,0. (a) To Find: ∇×F. (b) To Evaluate: ∬∇×F·ndS where S is the…

Q: Solve the linear programming problem Minimize C=7x+By Subject to 4x*7y > 28 What is the minimum…

A: Given linear programming problem is

Q: Assume you have taken out a 25-year loan of $177,790 with an annual interest rate of 6.73%,…

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Q: If f : X → Y and g: Y→ Z are functions such that g of is onto, then g is onto.

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Q: Which of the following graphs are Hamiltonian? A. B. C. F 41. D. U S Q X R P Q

A: A connected graph is said to be a Hamilton graph if one can write a cycle that includes each vertex…

Q: Decision Variables: x1 = Variety, x2 = Bakery Supplies Objective Function: Maximize Z =…

A: The given linear programming problem, max Z=18000x1+315000x2 Subject to the constraints,…

Q: (D3-2D2-5D + 6)y=e³x, Find Yp O a. 1 O b. OC. 10 3x e O d. xe 10 xe 10 3x 10 O e. none ,3x 3.x

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Q: s2

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Q: an cyclists were each asked the heir responses are given below. omplete the grouped frequency…

A: The given data can be grouped as follows:      Distance (1 to 5) : 3, 3       Distance (6 to 10) :…

Q: Integrate by suitable method  Asap plz handwritten solution acceptable

A: Here given curve shown  in following figure

Q: You are part of a team to go on a geological dig site and will arrive at the airport shown in the…

A: From the figure, it is given that AB=28 mi, AD=40 mi, DC=30 mi, ∠BAD=25°, ∠CAD=47° and ∠ACD=77°. The…

Q: Let X be a continuous random variable whose probability density function is given by the formula…

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Q: Transformation of ₂F, : A If |x| < 1 and < 1; then : 2F₁ (a, b; c; x) = (1 − x)¯ª, F₁ (a₁c-b;c; __)…

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Q: For the matrix A below, find a value of k so that A has two basic eigenvectors associated with the…

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Q: prove or disprove the following statement: “If n is an odd integer, then n^2-n is odd"

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Q: You owe $2300 on a credit card with 21% APR if you pay $80 a month, how long will it take you to pay…

A: Formula for the loan amortization is  A=Pi(1+i)n(1+i)n-1 where A=periodic payment P=loan amount…

Q: solve the initial value problem   y' + y = e^(8t), y(0) = -1

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Q: Show that (u, v) = (4u + 6, u − v, 7u + v) parametrizes the plane 2x − y − z = 12. Then: (a)…

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Q: the Maclaurin series for the function in another way: Assume that f(x):= X 1-x-x² = Scan. n=0 ply…

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Q: nt) Compute the flux of the vector field F = 5xi + 5yj through the surface S, which is the part of…

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Q: 2. For which of the following series does the ratio test ensure divergence? Select all that apply.…

A: Let ∑un be a series of positive real numbers and let limn→∞un+1un=l Then ∑un is convergent  if…

Q: Let S be a linear transformation from R³ to R² with associated matrix Let T be a linear…

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Q: Sketch the curve with polar equation r = cos(3θ), 0 ≤ 0 < 2π, plotting only the points with r≥ 0 and…

A: The given problem is to sketch the given curve with polar equation r=cos(3theta) for 0&lt; theta&lt;…

Q: Let Let f: R² → IR² be the linear transformation defined by be two different bases for R². Find the…

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Q: Find the smallest positive integer solution to the following system of congruence: x = 7 (mod 62) =…

A: x = 7 (mod 62)  So, there exist some integer k such that        x = 62k + 7 Then, x = 62k + 7 (mod…

Q: 4. (D² + 2D + 2)y = ex csc x (Use MRO and MVP)

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Q: Let W be the subspace of R³ spanned by the vectors Find the matrix A of the orthogonal projection…

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Q: Use Stokes's theorem to evaluate fF.dR or ff(V x F) ndo, whichever appears easier: F = xyi-yzj +…

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Q: For the following function, find the Taylor series centered at x = 8 and give the first 5 nonzero…

A: The given problem is to find the Taylor series of the given function centered at x=8 and first five…

Q: State whether the given system is autonomous or nonautonomous and also whether it is homogeneous or…

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Q: (b) Let f [a, b] → R be a function which is continuous on [a, b] and differentiable on : (a, b).…

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Q: In this problem, we will look at some properties of the Riemann integral of the absolute value of a…

A: Given :  Some properties of the Riemann integral of the absolute value of a function.   To solve :…

Q: you have wrong 3rd derivarive and 4th as well

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Q: Let Find a basis for the kernel of A (or, equivalently, for the linear transformation T(z) = Ar). A…

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Q: Suppose that the monthly​ cost, in​ dollars, of producing x chairs is ​C(x)=0.005x3+0.07x2+18x+700​,…

A: We will use derivative to find marginal cost

Q: Let Letf: R² 51²= R² be the linear transformation defined by 2 - [3 3] x x. f(x) = B C = = {(-1,-2),…

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Q: dx-x²dy )dx + (xy- dx + x²dy = dx + 2xydy -t√t² + x² tx =(y/0) + y Ө

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