If ODE of 2nd order and ye = c1 e²× + c2 e3* ‚Yp = 2 x + 3 e-2x, the suggested y, is:

Q: 4. У(п) %3D [x1(п) * х2(п)] х1(п) %3D 26(п) + 56(n-2) х2(п) 3D 46(n-4)

A: Given y(n)=x1(n)*x2(n) Where x1(n)=2δ(n)+5δ(n-2)                (1) x2(n)=4δ(n-4)…

Q: Let (V, (,)) be an inner product space and let f, g be vectors in V. If || F|| = 4. ||g|| = 5 and ||…

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Q: Consider the vector-valued function F(2,) = [xy² + 2ye* х, у y 3xe-y Which of the following are NOT…

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Q: salvepE tany= Sin(2 +y) +Sin(x-y) (ans. secy= C-2 Casx)

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Q: Г2 0Т Г26 For A = |1 3 and b a least-squares solution of Ax = b is 1 51 . What is the least-squares…

A: A = 201331,  b = 2600,  x^ = 5-3 Least square error (e^) = ||b-Ax^||  Now, first find the value of…

Q: Consider the quadratic form f(x1, x2, x3) = x+ x+4.x+ 14x1x2. 1 is (i) The maximum value of f(x)…

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Q: Let B = {1+x,1 – 3x?, x + 6x?} and p(x) = 12 + 8x + 9x?. You are given that B is a basis for IP2. If…

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Q: QI) Evaluate the integral dy dx using polar coordinate

A: The solution is given below. Hope this helps.

Q: u ing poler cordrate te Pad y=!/ Z=0 / xツ. coordirate te Lnd bourded by area

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Q: QI) Evaluate the integral dy dx using polar coordinate

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Q: Question 10 Consider the linear transformation T : P2 → M22 given by [4a + c T(a + bx + ca2) : You…

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Q: [1 1] a Let A 2 1. Find a QR-factorization of A. If R = then the 1 3. value of a is , the value of b…

A: We can solve this using given information

Q: Prove or disprove the following cases: (i) If x E Q and p € R – Q, then x+p€R – Q. (ii) If x E Q…

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Q: 1 1 Let A = 2 1 . Find a QR-factorization of A. If R = [1 3 then the value of a is the value of b is…

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Q: Cylinders SA = 2*7*r² + 2*x*r*h_ 15 cm 6 cm

A: Given: Cylinder with base radius 6 cm and height 15 cm. To determine: Total surface area. Concept:…

Q: Question 7 4 1 1 1 1 4 1 1 You are given that the eigenvalues of A = 1 are 1 4 1 1 1 1 4 7,3, 3, 3,…

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Q: Let B = {b1, b2} and C = {C1, c2} be two bases for a vector space V. You are given that b1 = 6c1 +…

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Q: The location of a point on the Cartesian coordinate system (x,y,z) is (4,5,6). Using the location in…

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Q: A model created by an engineer is represented by the following multivariable functions (a) Find O he…

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Q: –10° | The eigenvalues of 1 are 3 and

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Q: Solve. S1 for 0 5 y" – 3y' + 2y y(0) = y' (0) = 0 The solution can be written as y(t) = f(t)u9(t) –…

A: The solution is given as

Q: 1 2. dx (e2x – 4)*/2

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Q: ř (-1)" V2n2 + 5 Given: power series (x + 1)" n=1 i. Determine if the resulting series of constant…

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Q: Solve 59-2x メ 4メーツ メースドⅡCC-

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Q: +x (-1)" Given cos(x) = (-1)". n=0 (2n)! -x2n for all x E R, %3D 1. Express the integral cos x dx as…

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Q: Suppose that x is an eigenvector of a matrix A with corresponding eigenvalue 6. Then x is an…

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Q: Find the radius of convergence and the open interval of convergence of the following power series.…

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Q: п(x — 2)" 3" (2n – 1)3 * VI. Consider the power series - n=1 a. Show that the power series converges…

A: Given series is ∑n=1∞n(x-2)n3n(2n-1)3

Q: Let (V, (, )) be an inner product space and let f, g be vectors in V. If I| || = 4, ||g|| = 5 and ||…

A: The solution is given below. Hope this helps.

Q: Question 30 Consider the linear transformation T : M22 → P2 given by a T ) = (a +ŏ+e+ 5d) + (a + b…

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Q: Suppose that x is an eigenvector of a matrix A with corresponding eigenvalue 6. Then x is an…

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Q: [3 1 1 1] 1 3 1 1 You are given that the eigenvalues of A = are 1 1 3 1 [1 1 1 3 6, 2, 2, 2,…

A: Symmetric matrix always orthogonally diagonalisable.

Q: 0 5 k 4 Let A = If the dimension of the eigenspace corresponding 0 0 8 5 0 0 0 3 to eigenvalue 8 is…

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Q: (1) Find A, B, C, make the algebraic precision of the quadrature formula [f(x)dx = - Af (0)+ Bf…

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Q: Usng polor Codirte to Sad ared bourded by ブニリ ブ=ス

A: Here we use basic polar coordinates to find this.

Q: Let T : R? → R´be defined by [2 _5||X1 X2 1 6] [x2] а If B = is a basis for R“ such that |T'|B is a…

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Q: Use tabular method to evaluate ſ –2x³e¬5*dx -5x

A: To solve the given integral ∫-2x3e-5xdx using tabular method. For that, we identify the term in the…

Q: Question 19 t Let u = it and W = Span -2 1 .For what value of t is -3 the vector U orthogonal to W?

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Q: B-8-8- 2 1 , U3 1 and W =Span{u1, U2, U3}. For 1 Let U1 U2 = 1 |2 -3 in W ? t what value of t is the…

A: Let us consider the vector space V  Spanning set of a vector space : A set of vectors that is used…

Q: Determine the 3rd degree Maclaurin polynomial for f (x)= cot"(x) cot"EI) then use this to estimate…

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Q: Question Find all the critical points of and classify them using the second derivative test. f(z, v)…

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Q: 2. Let f be defined on an open interval (a, b) and assume that for some e e (a, b) we have f'(c) > 0…

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Q: In parts (a) and (b), find the volume of the wrinkled sphere or bumpy sphere. These solids are used…

A: Given that (a) Equation of wrinkled sphere =ρ=1+0.2 sin8θsinϕ0≤θ≤2π,  0≤ϕ⩽π, 0≤ρ≤1+0.2 sin8θsinϕ In…

Q: 1. Зх, — х, %3D 2 X2 = + 4x

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Q: For all x E R, eª = n! n=0 Express f(x) = x²e* as a power series. • Find the third degree Maclaurin…

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Q: 6. Using Second Theorem of Pappus, calculate the volume of solid of revolution when the area of the…

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Q: 8. 1 3 7 k 4 Let A = If the dimension of the eigenspace corresponding 8. 0 3 to eigenvalue 8 is 2,…

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Q: Solve for the laplace transform f(t) = (3(4t-5)2)/e6t

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Q: Consider the linear transformation T : P2 → M22 given by [8a - T(a + bx + ca?) = You are given that…

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Q: 22n -(2x – 1)". +00 Consider the power series E n=1 Vn? +1 Determine the radius and interval of…

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