- Use the Cauchy-Schwarz inequality to prove that for all real values of a, b, and 0, (a cos e + b sin 0)² < a² + b²

Q: what is a maximal Matching ? And give examples

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Q: Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then…

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Q: Q4) Find for the following functions (choose five only): dx 1. y = 2 +etr-1 2. y = sec x tan x 3. y…

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

Q: Using a method of reduction to separable equation and reduction to linear equation, find the general…

A: According to guidelines we solve one question.thanku

Q: 3. Solve the Cauchy-Euler equation x + 4x+ 2y = e*. ax dy 4. Evaluate L (sin t- cos t)?. dx2 dx

A: Cauchy differential equation and it's solution

Q: 4. Find a general solution of the linear system. x' = 2x + y = x + 2y – e2t

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Q: a) Let * be the operation on Z defined by a*b= a + b - 3ab for all a,b e Z. Justify the following…

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Q: Describe the graph of the equation. r = 2 cos t i – 9 sin tj + k O An ellipse in the plane z = 1,…

A: We need to describe the graph of the parametric equation: r=2cos t i-9sin t j +k.

Q: 15. Verify Stokes' Theorem for the vector field F = 2xyi + xj + (y + z)k and the surface z = 4 – x²…

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

Q: Reduce the quadratic form x2+y²-9xy into a canonical form of the matrix.

A: The given equation is x2+y2-9xy. The standard equation is ax2+by2+cz2+2fyz+2gzx+2hxy. The…

Q: T(E,)n T(E) = {0} and T(E,) + T,(E,) = F. %3D Show that T(E,) and T2(E2) are closed subspaces, i.e.…

A: Sol

Q: z) = (x2 + then (a + E

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Q: 2y-x = x + 3y + e', 3x' - 4y' = x – 15y + e- |

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Q: Draw a graph on six vertices with degree sequence (3, 3, 5, 5, 5, 5); does there exist a simple…

A: In graph theory, the degree  of a vertex of a graph is the number of edges that are incident to the…

Q: Find the eigenvalues A1 < Ag and associated orthonormal eigenvectors of the symmetric matrix -5 -5 3…

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Q: 3- 2i 2 + 3i 1-i II. E = P = 5 4 + i -i 1+ i

A: Sol

Q: WHAT IS THE FOURIER EXPANSION OF THE PERIODIC FUNCTION WHOSE DEFINITION IN ONE PERIOD IS: F(t) = for…

A: Fourier series of the function

Q: aw- Let Z[/2] = {a +b/2 |a, b e Z} and let H = { b а 2b : a,b eZ }. a Show that Z[ /2] and H are…

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Q: Which adjacency matrix could represent this graph? Select one: O A. [1 2 1 1 2 0 2 0 1 2 1 1 [ 0 1…

A: We want to find the adjacency matrix of the given graph.

Q: r= a(1 – cos 0) is called a The cardioid has equation (x² +y² + ax)* = a°(x? + y*) %3D

A: This is a problem of curve tracing in polar form.

Q: Let T: P2 that is, 7. > P2 be the linear operator T(p(x)) = p(2x+ 1), T(co+ C,x+ C,x²) = c, + c,(2x…

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Q: Viyellatex Company's (RMG alue chain in detail and include a (i.e., drawing) of its value chain. get…

A: Sol

Q: Q2 Obtain the general solution for the following differential equation. (a) y" – (a + B)y' + «ßy = 0…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: d?y 2y+y = x2e3x dy 1. Solve by D operator method dx2 dx 2. Solve by method

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Q: QUESTION 3 Given the following differential equation y -by +2y = 0 if the general solution for the…

A: Given differential equation is ,  y" - by' + 2y  =  0 And   y = ( A + Bx ) e 2x  is general…

Q: 1. Solve by D operator method dx2 +y = x e dx

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Q: the region bounded by the curves r = 2 cos 30 and x = y -1. %3D

A: Sol

Q: Find the area of the shaded region. The image is not to scale. y=F y=- Consider c=64. Enter the…

A: Given that,An area is covered by the equationsy=x, x=C, y=-1CxWe have, C=64Substituting C=64, we…

Q: 3. T: P, P, is defined by T(a, + a,x) = -a, + (a, + a,) B is the standard basis for P1, and B' =…

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Q: What sum of money must be deposited at the end of every three months into an account paying 3.7%…

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Q: 2. An initial value problem and its exact solution y(x) are given below. Apply Euler's meu twice to…

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Q: Find the smallest value of x for which the series (x + 34)" Σ 2In(n) n=2 is conditionally…

A: Given series is ∑n=2∞(x+34)n2ln(n)

Q: WHAT IS THE FOURIER EXPANSION OF THE PERIODIC FUNCTION WHOSE DEFINITION IN ONE PERIOD IS : F(t) =…

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Q: 4) LetXbe any set with the discrete topology. Let Y be any subset of X. Prove that ô( Y ) =Ø.

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Q: Let T: R2 R2 be a linear trasformation such that T (x1, 22) T (x) = (3, 1). (x1 +x2, 2x1 + 3x2).…

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Q: WHAT IS THE FOURIER EXPANSION OF THE PERIODIC FUNCTION WHOSE DEFINITION IN ONE PERIOD IS : F(t)- for…

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Q: what is the symmetric difference ? And give examples

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Q: The trial solution for the non-homogeneous equation d'y + 9y = 1+ xe* is dx²

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Q: 2. Which of the following is not an ordered field? Q={all rationals} R={all reals} S={all…

A: Ordered field mcq

Q: An orthogonal basis for the column space of matrix A is {v1, v2, V3). Use this orthogonal basis to…

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Q: MC; MC, = S Price Quantity Figure 9 Demand curve and marginal private and social cost curves Towards…

A: Given that the curve MCp+t External costs is defined as the impact of a thing or service on a third…

Q: 1. What theorem states that the square of the hypoteuse of a right triangle is equal to the sum of…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: QI/ Find L{sin(at + b)} 3 Q2/ Find L-1{-}, by completing square. s2+

A: To find: (1) L{sin(at+b)}(2) L-1{3s2+s4}

Q: Let C be the parametric curve defined by Sx(t) = t2 – t – 2, |v(t) = t* – º +t. Determine if C is…

A: Substitute x=-2 in the given equation xt=t2-t-2 and simplify to calculate the value of t.…

Q: A committee of 4 is to be randomly selected from 8 women and 10 men. What is the probability of…

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Q: Q4) Find plane area inside polar function r 2 and outside polar function r = -2sine in third…

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Q: Solve by D operator method d²y - 2y +y = x²e 3x dy dx2

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Q: B. Solve the following problems using differen linear approximations. Show complete soluti 2.…

A: Sol

Q: A triangle is inscribed in an ellipse whose equation is 9x2 + 16y2 - 216x - 320y + 2320 = 0. One…

A: Given that,A triangle is inscribed in an ellipse whose equation is 9x2+16y2-216x-320y+2320=0One…

Q: Rn %3D *ーラ=)+ ニ x²+2 x20 puiy (日 an swere and 4) Find all x for which o>ズ x+S) working f (x) = 9).…

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