For which values of p does the integral What can you say about the integral TP de converge? dx?

Q: What are the eigenvalues and eigenvectors of = [ 1 ² ] 12 = 53 A

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Q: b) Evaluate the integral by converting in polar coordinates [T 13 dy dr

A: (1) tan−1⁡(x)=cot−1⁡(1/x)(2) tan−1⁡(x)+cot−1⁡(x)=π/2 (3) 1/sin⁡(x)=csc⁡(x) .

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A: Definition used.

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A: Suppose that a is a positive integer relatively prime to 10. We have to Show that a divides…

Q: ty"-ty' + y = 2, y(0) = 2, y'(0) = -4

A: Given the DE .We will use the following formulas after applying the Laplace transformation.

Q: 2. Determine the Laplace transform of the given function a) f(t) = e³¹t4 b) f(t

A: Laplace transform

Q: Consider the following graphs. X X X D B y E y

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Q: Compute the work done by the force 7 = (sin(x + y), xy, x²z) in moving an object along the…

A: Given force The object is moving along the straight line and from

Q: Compute u • u, vou, and u u using the vectors u = 3 and v= 7

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Q: Set Pegion up in 2 2 the indegual 929 -√x²+y²+z² dv over the J. the where 2 ≤ √ 4-3²²-4² SE 1⁰k…

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Q: To R¸(ß) = b² lim # To → To 0 sin(@₁t+ ) sin[@₁(t− B) + ]dt

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Q: (d) Find a unit eigenvector, v2, for eigenvalue A₂. (e) Construct a matrix P such that A = PDP-¹ = P…

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Q: Let B = {b₁,b2} and C = {C₁, C₂}. Find [v] and [v]. 10 -9 -8, -6 --5 C/ -4 -3, -2 6+ 4 3 2 1 H -2 -3…

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Q: 4. (4 points) Given that tan (0) and cos(0) > 0, find sin(20) and cos(20). = 1 3⁹

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Q: . Find an orthonormal basis for the subspace of R³ given by {(x, y, z)T : x − y + z = 0}.

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Q: c. B: = [3 5] 8 [4 5] {[][114])} 2 3 X

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A: We have to find out the probability that all the chosen items have different colours.

Q: Which of the following sequences (₂) have a convergent subsequence? Xn = n xn = (-1)" (-1)" n Xn =…

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Q: Use Newton's method to find the two real solutions of the equation x4 - 3x³ - 3x²-3x+3=0. Compute…

A: Let, Find its derivativesx01234f(x)3-5-23-337Since the sign of the give function changes about and…

Q: Let a : V → W be a linear map for vector spaces V, W over R, V₁, V2, V3, V4 a basis of V and w₁, W2,…

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Q: •3 Find the value of f(x) dx, given than +3 f(x) is even, ſ'¹₁ f(x) dx = 5, and ſ³3 ƒ(x) dx = 10. ·3…

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Q: File Preview A = 000 400 0000 06 020000 100 000 00 3000 50 00005 (a) Using any method, calculate the…

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

Q: is an approximate identity as 1-o i.e. 1 x lydy 1o, prove that ₁ (y) = -=-³x²₁x₁² e ₁) = 1

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Q: of ty" - 2y + ty = 0, y(0) = 0. 2. Use Laplace transforms to find a general solution

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Q: 19. Prove that the group (Z/11Z)* is cyclic, and find a generator.

A: We have to prove that the group (Z/11Z)* is cyclic, and find a generator.

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Q: Find a particular solution of the indicated linear system that satisfies the initial conditions ×₁…

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Q: below is a python code for solving a system of non-homogeneous linear differential equations. Write…

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Q: Prove or disprove: Q/Z is isomorphic to Q

A: Group isomorphism

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A: Given h: is defined by h([a])=[3a-5]We have to find all values of h i.e, all elements of a of  and…

Q: Given basis = {QOB]} {[ 2 5 3 {C₁, C2, C3}. find the basis C = of R³ and change of basis matrix [B]C…

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Q: Use the above alogirithm to find P for the bases B = {1, 62, 63} and C = {₁, C2, C3} C-B for R³…

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