(0 1 1 A=|1 0 1 1 1 0,

Q: Confirm that the force field F(x, y) = ye"y i + xe"j is conservative in some open connected region…

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Q: 5. J_√x dx (4 + x)'

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Q: 3. Find all Critical points of the given plane autonomous system. 3.1 2 x² = x (1-x²-3y²) y₁ = y (3…

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Q: X,Y are uniform fx and fy

A: Introduction: Consider a continuous random vector, which has entries that are continuous random…

Q: b) E Rif and only if a has the same first name as b. (Check all that apply.) Check All That Apply…

A: We need to check whether the given relation is reflexive, symmetric, transitive, antisymmetric. here…

Q: 4-2. (a). What is the coefficient of x7 in (1–x)9 (b).What is the coefficient of x in (1–x)-9

A: We have to find the x^7 coefficient.

Q: QUESTION 10 Determine the order of each element in U(10).

A: Given: A group U(10)=1, 3, 7, 9. To determine: The order of each element in U(10).

Q: QUESTION 12 Which method is the most appropriate for evaluating the line integral counterclockwise?…

A: evalution of the line integral by using Green's theorem

Q: 2- Let H be a Hilbert space. Prove that for any two subspaces M,N of H we have (M+ N)+ M'ON. OTON…

A: Let , H be a Hilbert space. We have , M  and  N are two subspaces of H. We need to prove that , M +…

Q: QUESTION 12 Given a = (1 3 5 6 7)(2 3 5 6 7) in Sg. a) (3) Write a as a cycie or a product of…

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Q: 1 3 2 Let y = U2 and W = Span {u,,U2}. Complete parts (a) and (b). 3 --e- a. Let U = u, u2 . Compute…

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Q: det (M) Find the determinant of the matrix -3 0 0 3 -3 0 1 0 M 2 0 0 0 0 -2 -1 -3 0 = 0 0 0 0 0 -3…

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Q: Find the inverse Laplace transform of s+5 s2 +9 Solve for the inverse Laplace transform of 5(s + 2)…

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Q: 1000 7. If a rectangular fence is supposed to have 3 pens, and in total enclose feet find the…

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Q: For each of the following, factor the matrix A into a product QDQ" where Q is orthogonal and D is…

A: We have to factor the given matrix A into a product QDQT where Q is orthogonal and D is diagonal.

Q: 7. Use the Jacobian determinant to test the existence of functional dependence between the following…

A: Given functions are y1 =3x12 +x2 y2 =9x14 + 6x12 x2 +4 +x2 x2 +8 +12

Q: A demand function for a product is P = 100 – 2.2Q and its supply function is P = 2.8Q, where P is…

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Q: Q9. Which of these is not the derivative of the function, y =X": --1½ A. -½x В. —0.5х-1Vx-1 С. —0.5…

A: Given function is y = x-12

Q: Proposition. SupposeGis a regular (and simple) graph. If there exists a vertexv∈Vwithdegreeδ(v) = 2,…

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Q: 1. Find parametric equation for the line through the point P(3,-4,-1) parallel to the vector v…

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Q: 1. Suppose that f(x, y, z) is a smooth function. (a) Show that where the Laplacian (b) Show that…

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Q: 1. Show that ||x|| , ||x||||x||₂ are vector norms. 2. Show that if x and y are two vectors, then…

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Q: Use the RSA cipher with public key (n, e) = (713, 43) to encrypt the word "TEE." Start by encoding…

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Q: (-1)" 14. For the series Ln=1 3n0.3+8 calculate the sum of the first 4 terms, S4 . S4 = Include 4…

A: Bound for the error of an alternating series

Q: Verify the conclusion of Green's Theorem by evaluating both sides of each of the two forms of…

A: We have to Verify Green's Theorem and find value of Flux. We know that  Green Theorem is

Q: (x2 – 4xy – 2y2) dx + (y2 + 4xy – 2x2) dy = 0 Solve -

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Q: Peronve:- de of Giuen:- a - epper helf filare f(2)16 anatytic fan in d+ iB în -R R X ufper helf óf…

A: Consider ∫Cfzz-α2+β2dz=∫Cgzdz Where C is a contour as shown in the figure gz=fzz-α2+β2 Poles of gz…

Q: An inventor 2000 K, and Is this claim

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Q: 5. Prove that every graph of order 6 with chromatic number 3 has at most 12 eges.

A: Solution :- As per guidelines.i solve 5th number.

Q: B. Find the area of the region bounded by the following: 12²/1/20 16. r=8sin

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Q: Use Gram Shmidt Algorithm to build an orthonormal basis beginning from the given basis in R: (1, 1,…

A: First part: We have to find the orthonormal basis of the basis 1,1,1,-2,2,1,1,2,2 using the Gram…

Q: Mathematically prove that two sets of orthonormal bases in R2 tensored together form a new set of…

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Q: 3. What is the missing digit (the 4th digit) from the UPC code 2 17 64 22001 2?

A: To find the missing digit of  any UPC code 3(sum of odd no places digit ) + 1(sum of even no places…

Q: I. Solve for x. All final answers must be in Znwhere nis the modulus.  (a) x≡3(15) + 45 mod 18 (b)…

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Q: You place $3800 into an account paying 4.5% compounded continuously. Give the annual growth rate…

A: Solution :  Given that Interest rate r = 4.5% = 4.5/100 = 0.045

Q: The sphere below has a total volume of 86 piπ cm3. What is the radius of the sphere, rounded to the…

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Q: Year Global plastic production (tonnes-year¬1) 46,000,000 64,000,000 72,000,000 86,000,000…

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Q: Use series to approximate V1+ x4dx correct to two decimal places.

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Q: Show that the integral is independent of the path, and use the Fundamental Theorem of Line Integrals…

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Q: Calculate the flux of the vector field through the given surface.  F = 2i −3j + 6x2yk through the…

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Q: Problem 2: Let P₂ be the space of polynomials with R coefficients of degree ≤ 2. Consider the…

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Q: Find the Fourier series for the given function. f(x) 9 200 f(x) ) = ²/²2 - ²2/2 2² 1 2m ² - 1 ² (2m…

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Q: Find the eigenvalues A1 < A2 and associated unit eigenvectors ū1, üz of the symmetric matrix 12 A =…

A: Given matrix is A = 12-9-9-12

Q: Unless specified, all approximating rectangles are assumed to have the same width. Evaluate the…

A: Given the function is fx=2+sinx, 0≤x≤π Here a=0, b=π

Q: Use Green's Theorem to evaluate the integral F dr. where F(x,y) = (2x+y)i + (3y-x)j and C is the…

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Q: 3. When is the function increasing and when is it decreasing? f(z) = re==z3)? xe 2 f(x)=xe 4X2)

A: Solution:

Q: 1. Solve this system by graphing. (2x + y = 3 y = x - 3 The first equation is graphed for you below.…

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Q: v Can we have a series solution about x = 0 for y" + (sin x)y' + (1 + x²)y = 0? v In an Euler's…

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Q: Determine whether the relation R on the set of all real numbers is reflexive, symmetric,…

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Q: 18 || 3 -6 -12 0 and y= -107 -4 -11 9

A: