V4-2 Evaluate the integral dy dx dz using cylindrical coordinates. Enter an exact e answer. Type pi to enter T and e to enter the base of the natural exponential function e.

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Q: nsider the /" + 9y = 40eX; y(0) = 5, y'(0) = -2. Consider the following IVP: y"+a?y = 0; y(0) = 1,…

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A: Introduction: The formula of Laplace transformation is given by, ℒ1=1sℒeat=1s-a

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Q: Let f : R → R be a twice differentiable function such that f" + f = 0. Prove there exist constants…

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Q: 1. Find a matrix P, that orthogonally diagonalizes A,and determine P-1 AP 3. A = %3D 1

A: First we calculate eigenvalues and eigenvectors of matrix A

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Q: y purchases phones for $280.50 each and is selling them for $330.00 each.  a. What is the rate of…

A: Given that Ivy purchases phones for $280.50 each and are selling them for $330.00 each.

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Q: No decimal answer. Reduce fractions. No radicals left in the denominator. 1) Find all six trig…

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Q: b. What is the p

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Q: Q2: (a) For given matrix A, find a 3 x 3 non-singular matrix P such that p-1AP is diagonal. A = |-3…

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Q: 3. Suppose that the pmf of X is x-1 1. p(x) ,t = 1,2, 3, . 3 3 Find the mgf of X.

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Q: Find the moment about the xy-plane of the solid which occupies the region E described by 0 sz s v1-x…

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Q: Define g(x) to have a domain of {1, 2, 3} and a codomain of N. Which of the following properties…

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Q: A. Which of the following have integer solutions? Why? 1. 21x – 7y = 88 2. 55x + 44y = 99 3. 42x +…

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A: We have to solve the given differential equation using Frobenius method.

Q: Question 8. Given the permutations 1 2 3 4 1 2 3 4 5 6 and B = 4 a = 2 6 3 1 1 4 (a) Compute B o a .…

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Q: (a) Construct a Marshallian demand function for the consumer. (b) If p. - 2. P,- 4 and I- 68,…

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Q: Let A be a 3 x 3 diagonalizable matrix with eigenvalues: A, = 6 with %3D corresponding eigenvector…

A: It is given that the eigenvalues of the matrix A of order 3 are λ1=6, λ2=2 and  λ3=1. The…

Q: y(4) + 2y" + 10y" + 18y' + 9y = 0 [Hint: y(x) = sin3x is a solution.]

A: The given differential equation is                                  y(4)+2y'''+10y''+18y'+9y=0 Which…

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Q: Some entries of a 3x3 matrix A and its are given as follows; 2 3 -4 A = and adj(A) = a 3.

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Q: solve x3 + x2 -3x -3 = 0 using incremental search method. With explanation

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Q: F(X, y,z) = 2x -y? +z?

A: F(x,y,z)= 2x-y^2-z^2 at point (4,-4,2) df/dx= 2 df/dy=-2y df/dz= -2z