Solve using variation of parameters in matrix form 1 cost' i=x-y+ j=22 — 3.

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Q: Find the general solution of the ODE. - y" - y' - 12y = 2xe-³x — ex

A: Given that the differential equation is                                          To find the general…

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Q: 16. 13 3 15 2 4 22 2 7 34 7 8 17

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Q: For the matrix M = 1 2 0 3 4 4 0-2 -3, (a) List the eigenvalues in increasing order, including any…

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Q: [x = -2x+y | y=x-2y

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Q: Determine whether each of the following Sequences is convergent. Justify!! @@ (x₁) where x := n 16.…

A: Determine whether each of the following sequences is convergent. Justify.C.   where .

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Q: Q3- Given the following system of equations x-y-z = 6 3x - 3y — 3z = 18 6x — бу — 6z = 108 - How…

A: The Augmented matrix of the given systemLets use row operations to find the   echelon form.

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Q: Find the Cholesky factorization A = RTR of the matrix 4 -2 0 -2 0 2 -3 -3 10

A: The given matrix is .To find the cholesky factorisation  of the matrix.

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A: denote the number of widget that may be produced from ton of aluminium,  ton of iron and ton of…

Q: Here is the original LP max z= 3x₁ + 2x₂ s.t. 2x1 + x2 I1+I₂ I1 and the optimal tableau: <100 ≤80…

A: An LP is given and the optimal tableau.The objective is to find:The allowable increase in constraint…

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A: To find the linear combination of v as a,b,c we assume the linear combinationv=ax+by+cz then find…

Q: Find the general solution of the ODE. e2x x + 2 y" − 4y' + 4y =

A: We solve given differential equation by method of variation of parameters.

Q: Find all integer solutions to 25s+ 14t = 1. O

A: Given equation25s + 14t = 1We have to find all integer solutions for s and t.

Q: steps. Find the PLU factorization for the following matrix. Please show the 312 642 234

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Q: Show that the linear system has at least one solution for any values b1, b2, b3. -4y1 У2 буз + 794…

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Q: Suppose electricians come in two types: competent and incompetent. Both types of electricians can…

A: Given Information:Two types of electricians can get certified.Type 1: Competent.Required to spend M…

Q: List all possible rational zeros given by the Rational Zeros Theorem (but don't check to see which…

A: Given:The given polynomial is .To Find:We have to determine the possible rational zeros by the…

Q: whenever a E A and Let A and B be non-empty subsets of R with azb bEB. Prove that sup (A) and inf…

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Q: a) Find the Fourier series coefficients as for the periodic signal shown in Figure 1. Are a=0 when &…

A: (a)Given a periodic signal, to find the Fourier series coefficients   of the function. To check if…

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A: Given that:The setup cost for the single print run is , The cost of producing  books at  each is…

Q: Simplify two rational functions: 2x - 2 4x2 f(x) = and g(x) = x² - 1 2x² + x - 1 -e the two rational…

A: Lets first simplify them.

Q: Suppose a Cobb-Douglas Production function is given by the following: where L is units of labor, K…

A: Given Information:Cobb Douglas Production Function .Here,  is the unit of Labor and  is the unit of…

Q: 2. Which of the following are groups? For those which are not groups, explain why not (it is enough…

A: 2)(i)  under   is  not  a  group  since which has  no  inverse  under    (ii) Let      Then,   is…

Q: dy Sketch a slope field for for-2 ≤ t ≤ 2,-2 ≤ y ≤ 2 using the graph below (or one of your own - if…

A: To draw a slope field, we first need to solve the given differential equation.

Q: BL I be a r IX. a. What is the maximum number of pivot positions M can have? 7 Answer the rest of…

A: M is a  matrixIf a column is pivot in a matrix, its linearly independent column.

Q: If A and B are sets within some universal set, then prove, using properties of sets, that the…

A: We need to prove that  for some sets  within a universal set.Let  be the universal set.We know that:

Q: For the particular function f(x)=x", me N, show that {} 1 if n = m 0 ifn > m f[xo, X₁, Xn] = ...

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Q: ↑ Atelevision campaign is conducted during the football season to promote a well-known brand X…

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Q: Suppose I is a function is a function with domain. Prove the following statement range Ro show that…

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Q: center of G is defined to be Z(G) = {a E G | ag = ga for all ge G}. (a) Show that if X C G is a…

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Q: Sketch graphs of the following periodic functions and state the period of each o f(x)=√x², 0<x<2₂…

A: We have to sketch the graph of the periodic function and identify the period.

Q: Isf increasing on the interval (-8,-2) ? Is f increasing on the interval (2, 10) ? List the…

A: We have given:Given graph is said to be increasing or decreasing on the given interval in which  or…

Q: 11:30 am and 3:45 pm  Bill  12:30 – 2:00 pm  50 km    These were the answers that were given to us…

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Q: C. Find the surface area generated by the rotation of the curve around the indicated axis. x=4t y=…

A: We have to find the surface area generated by the rotation of the curve around the x axis.

Q: Compute the following matrix. 1 2 B9-8- + -1 -3 -4 -2 -3 2 -2 12 34 5 6 =

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Q: METEOROLOGY Use a graphing calculator to write a sine model that gives the average daily temperature…

A: We are given the temperature T(in degrees Fahrenheit) for Boston as a function of t(in…

Q: 15. 16. 2 2 4 1 -1 -4 2 7 19 1 3 15 2 4 22 2 7 34 2 3 -3 7 8 17

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Q: Given the analytical function f(z) defined by: f(z)=u(x,y)+iv(x,y) where u(x,y)=x^2−y^2 and v(x,y)…

A: The analytical function  is given by:,  where .To find:  using the Cauchy-Riemann…

Q: Show that f(x) = 3x - 5 is a bijection.

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Q: a. Find the open intervals on which the function shown in the graph is increasing and decreasing. b.…

A: The graph is as follows:To Find:a) The open interval on which the function is shown in the graph is…

Q: A college student has 5 days remaining before final examinations begin in her four modules, and she…

A: Given Information:A college student has to be allocate his 5 days (0,1,2,3,4) to study on 4…

Q: Find the range of K within which the following characteristic polynomial is stable

A: Given characteristic polynomial.To find:The range of  in which the polynomial is stable.Concept…

Q: If X, Y are finite sets with |X|=4>2= |Y. How many surjective functions f: X→ Y are there? 2 16 8 O…

A: Let us solve above problem

Q: Find the inverse Laplace transform f(t) of F(s) = (e-s-e-3s)/(s2

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