Please use the Substitution Method and solve: 3a - 8b = 14 1a - 2b = 2

Q: -2 -4 2 -2 1 4 2 (a) Find the eigenvalues of A. Let A = 225 (b) For each eigenvalue of A, find a…

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Q: Let S = Z[X] (x³ + x + 1) How many elements does S have? Justify your answer. Is S a field ? Justify…

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Q: a f(z) = % + Em (an cos nga + bn sin nga) n=1 3 After writing the Fourier representation with an =…

A: For (a), We are given the following Fourier representation.…

Q: Let x be non-empty of points. a topological Space having open set with finite numb cal shase wh

A: Let X be a topological space having non-empty open set with finite number of points. Let Y be a…

Q: Evaluate the given below (hint: It's easier to be solved through Fubini's Theorem) ㅠ 6 1 Lo² Siim-12…

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Q: W₁² Find solid. 3x dA over the region R = {(x, y) | 0 ≤ x ≤ 2,0 ≤ y ≤ 3} by identifying it as the…

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Q: A as the product of two determinants, show that A = 0. Hence, show that if ax² + 2hxy + by² + 2gx +…

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Q: 4. What is the coefficient of the term 25y5z4 in the polynomial (x+y+z)¹4? Leave your answer in…

A: This is a problem of multinomial coefficient.  In the expansion of (x1 + x2 + . . . + xk)n, the…

Q: For the following system, dx dt = 10x - 5xy dy = dt 3y + xy − 3y² Find all the fixed points and…

A: dxdt=10x-5xydydt=3y+xy-3y2 To find the critical points, we need to find every ordered pair of real…

Q: suppose, f: (₁R, Zu) → (IR, Te) be homeomorphism

A: Suppose, ℝ, set of real numbers with usual topology ζu. ζu =  a, b : a < b, a, b ∈ ℝ ℝ with…

Q: Problem 2 Let f(x) = 3r. For this problem, we will use the notation cZ to denote the set of…

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Q: Find [K : Q], where K = Q(√5,√11), giving detailed reasons for your answer. Further, is X5 – 11…

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Q: Compute the center of mass coordinate (XCM, YCM, ZCM), in meters, of the uniform rectangular block…

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Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not…

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Q: Without expanding the determinants, 103 115 114 113 116 111 108 106 + 108 106 104 113 116 115 114…

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Q: 2. Consider the following data points given below and answer the question based on these data: f(x)…

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Q: Q2)Use integration by parts to evaluate fx sec² x dx ************ ***************

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Q: e graph of the

A: Here, in part b we have to sketch the graph of the function to which fourier sine series converges…

Q: Find In (6) In (4) 2 - 3y dydx - x - 3y e

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Q: Find the product Z₁Z2 and the quotients and (Express your answers in polar form.) Z2 Z1 Z1²2 =

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Q: Find the dimension of the subspace spanned by the given vectors. 1 0 4 - 2 1 -7 - 11 4 - 40 8 - 3 29…

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Q: 3. Find the points of intersection of the parabola ²-4x+y=0 and the line-2x+y=-3

A: Let the co-ordinate of the intersection point be (x, y).  Then (x, y) lies both on the parabola and…

Q: 5. a.) Consider the collection of open sets {(-n, n) ³. in R with the usual metric d(x,y) = /x-yl.…

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Q: If m= 1/2 and n= −4, then 3mn=?

A: Given  m=12 and n=-4. We have to find 3mn.

Q: COS X Let f(x) = cos 2x cos 3x of f'(0) and f'(7/2). sin x sin 2x sin 3x COS X 2 cos 2x. Then find…

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Q: Let P E SO3(C). Check whether or not 1 is an eigenvalue of P.

A: We check 1 is eigen value of P or not .. For this we proved firstly two lemma  Then we get 1 is…

Q: Find the correct form of a particular solution for the following ODE's if the method of undetermined…

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Q: Q5.4 Let Lcg) be the following: (n-1) (4) Ly) =an you? (x) + an-ly² where the 4(y) = Ly) Ao, A, )…

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Q: Find the center of mass of the following solid, assuming a constant density of 1. Sketch the region…

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Q: QUESTION 2 If M is the matrix: 1 3 5 -1 0 2 1 -2 7 -4 0 1 2 2 -1 3 Let N be the inverse matrix of M.…

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Q: 1 2 [² [²² xe*+5%dydæ 0 0 Write your answer in exact form. Find

A: Here we have to compute the given integral.

Q: d²y 1²2-5x + 5y = 2sin²2x - x² - 5 4. Write the general solution of the differential equation dx

A: Given Differential equation is d2ydx2-5dydx+5y=2sin22x-x2-5d2ydx2-5dydx+5y=-5-x2+(1-cos4x)Since…

Q: 7.10. In polar coordinates z = r cos 0, y = r sin 0, the function f(z) = u(r, 0)+iv(r, 0). Show that…

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Q: 1. Read the following and answer accordingly: (a) Find an interpolating polynomial of appropriate…

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Q: Prompt: 1. Create a new post describing a function and its inverse. a. Create a function, f(x), and…

A: As per Bartleby's answering policy, we can answer only one question with a maximum of three…

Q: Find the value of the expression: x^2−(a+b)x+ab divide by x^2−(a+c)x+ac  where a = 1.8, b = 4, c =…

A: We have to find the value of the expression: x2−(a+b)x+ab divide by x2−(a+c)x+ac  where a = 1.8, b =…

Q: 3. On the graph of one cycle of a sinusoidal function, the maximum point is (-2, 10) and the minimum…

A: Given information  The maximum point is -2, 10 and the minimum point is at 12, -2. The function is…

Q: (u, v) is an inner product. Prove that the given statement is an identity.       llull2 + llvll2 =…

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Q: Find the volume of the solid bounded above by the graph of f(x, y) = xy sin(x²y) and below by the…

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Q: Suppose U is a domain (i.e., open and connected) and f: U → C is a holomorphic function such that…

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Q: (a) List all the finite abelian groups (upto isomorphism) of order 1800.

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Q: In a certain city, only 2 newspapers A and B are published. It is known that 25% of the city…

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Q: Show that m > (2). m! = (2″ − 1)(2″ − 2) (2¹ – 2²)... (2¹ — 2n-1). -

A: The given problem is to show the following condition m> nC2 for the given inequality.

Q: Answer the following Questions: 1. Form the corresponding differential equation by eliminating the…

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Q: Table Tep b) (V x,y EA, u, v E B) ((x, u) Ef and (y, v) resenting a function from A to B). c) (3…

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Q: Miller tips for plan B?

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Q: where did you get the $480.42 for monthly payment?

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Q: Test the sets of polynomials for linear inde­pendence. For those that are linearly dependent,…

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Q: 8. Given y = f(x) and the equations of the vertical and horizontal asymptotes. Determine a possible…

A: Removable Discontinuities : A removable discontinuity occurs in the graph of a rational function at…

Q: Find the volume of the region under the surface z = corners (0, 0, 0), (3, 0, 0) and (3, 3, 0).…

A: Consider the given surface, z=91+x2 It is required the find the volume of the region under the…