Given equation using Laplace y"-5y+6=sin t y(0)=1/10 &y'(0)=21/10

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Q: 1. Compute the right hand sum R4 for g(x): = cos (πx) on [0, 1].

A: 1. The given function gx=cosπx. We have to find the right-hand sum R4 in the interval 0, 1. Note:…

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Q: the center and foci of the followin 4x^(2)+8y^(2)-16x+32y+32=0

A: Given,              4x2+8y2-16x+32y+32=0. To find the center and foci of the given equation.

Q: lim (x-1)21nx x-1(x-1)²+y² y-o A) L> 2 = L olsun. L için ne söylenebilir? B) L = 0 C)L= -1 D)L = 1…

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Q: 1. Determine the Fourier series for the periodic function: -2, when - (x (0 +2, when 0 (x (π f(x) =

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Q: Use Green's Theorem to evaluate F. dr. (Check the orientation of the curve before applying the…

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Q: Evaluate [sin² (7x)dx using Simpson's method to four decimal places. take n = 6.

A: ∫01sin2πxdx       To find: Above integral using Simpson's method if n=6.

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Q: Question 34 please

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Q: 1. a. b. x1 + x2 x1 2x1 - X2 Find the solution set of the following system of linear equations : - -…

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A: T : ℝ2→ℝ2 is a linear transformation. And, Tx1, x2=x1+x2, 2x1+4x2. To Do:We have to find x such that…

Q: Let W be a subspace spanned by the u's, and write y as the sum of a vector in W and a vector…

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Q: 5. True or False. Explain your answers. (a) If every element of G/H has finite order, and every…

A: 5(a) We need to show that every element of G has finite order. Let x be an element of G.  Consider…

Q: Let W be a subspace spanned by the u's, and write y as the sum of a vector in W and a vector…

A: The solution is given by

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Q: Notation: For a 3x3 matrix: • We will denote by m², the minor of order 2 obtained by deleting row i…

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Q: 34. 9x - 4y = 5 x + y = 0

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Q: dentify and sketch the surface (S) of equation z your work). -²+ 4 16 (Show all the details of

A: The given equation z=x29+y216. We have to sketch the graph of the equation.

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Q: 6. Use the Fundamental Homomorphism Theorem to prove that the following groups are isomorphic. (a)…

A: (a) Consider the function           f : Z3 × Z3 → Z3  defined by      f(a, b) = a - b   Then, for…

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Q: Task 3 a) Evaluate the definite integrals correct to 4 significant figures by mid-ordinate method by…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: A = 3 -3 -1 -3 2 -4 9 -2 5 Find the eigenvalues and eigenvectors of A, and list out the dimension of…

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Q: Consider the following parametric equations. x = cos² t ; y = sint 0 ≤ t ≤ T a. Create a chart…

A: Since you have posted multiple subparts as per our guidelines  we are  supposed to be answered first…

Q: Let f = {(4,7), (0,6). (-1,2), (3,3)). Find (a) f(3) and (b) f(4).

A: Given that f=(4,7),(0,6),(-1,2),(3,3). To find : f(3) and f(4).

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Q: In Exercises 37-42, set up the iterated integral for evaluating ƒ ƒ(r, 0, z) r dz dr de over the…

A: Clarification of your query:

Q: 11. Find the Taylor series centered at a = 0 for f(x) = (1+x)-³. Show ALL work. Do not use any…

A: We have to find the Taylor series

Q: 2. (a) Prove or disprove that {-39, 72, —23, 50, —15, 63, -52} is a complete residue system modulo…

A: A. given set of elements are  S=      { -39 ,72,-23,50,-15,63,-52} Now  find the remainder when set…

Q: Let V = (2x)i + (3y)j + (z)k be a vector field. Let S be the upward-oriented surface given by for 2…

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Q: Perform the operations and express the answer in polar form. 17. (2 240°) (4 <20°) =

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Q: The distance from the star S to the planet X is approximately 148,700,000 kilometers (km). The…

A: The distance between S and Y is 57,980,000 km The distance between S and X is 148,700,000 km α=13°

Q: 2. Consider the following matrix A: A = -2 23 1 -1 0 0 1-4] a. What is det(A)? b. If det (A) is…

A: A=-2231-10014

Q: Let A = J 3 6 3 Find a matrix p such that Where D is -3 a -14 ) A = pop! diagonal matrix.

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Q: Let F/K be a field extension and R be a ring such that K is a subset of R that is a subset of F.…

A: F/K is a field extension.R is a ring such that K is a subset of R that is a subset of F.

Q: Show that the differential form in the integral below is exact. Then evaluate the integral. (2,-4,6)…

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Q: For each of the following quadratic forms, write down the symmetric coefficient matrix A such that Q…

A: According to Guidelines only  first there subparts can be solved.

Q: Given Premises (15) To find 2) pvr 3) ~q vrt 4) + As. = conclude p

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Q: A decorative oak post is 36 inches long and is turned on a lathe so that its profile is sinusoidal…

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