1. Compute AB where A and B are as follows: A B 2 [4 1 ܚ ܂ ܚ ܝܢ -5 -23

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A: To show that the oscillatory integral can be regularized and equals in the sense of distributions,…

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Q: y + Y 1+x || -(1 + x)²y5) 2 with y(1) = 1

A: 5. Given that the differential equation is:                                  To find the solution of…

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A: We have to find q3 and columns of R

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A: Consider the Augmented matrix .To Find:For what value of k will the system have no solution?

Q: Is the following system of equations consistent: x + 4y 2 - -4y + 2z 2y T N ||

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Q: 1. Determine the radius of convergence of the series Σar", where an is given by: (a) 1/n". (b)…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

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A: A function g will be called a function if g(x)=g(y), thenx=y.However,f(x) is not a one-to-one…

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Q: An object attached to a spring undergoes simple harmonic motion modeled by the differential equation…

A: Solution

Q: Suppose A,B,C are each nxn invertible matrices. Show (ABC) CBA.

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Q: 1. A company sales representative estimates that her car's gas mileage averages 28 miles per gallon…

A: A company sales representative estimates that her car's gas mileage averages  miles per gallon on…

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Q: Now, the roots of the characteristic equation is calculated as, ² +9=0

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

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Q: We know: d SE= (1.02)2t dt Calculate 8 a) 1.86% b) 2.86% 3.96% d) 4.96% e) 5.86%

A: Given: The expression To find .Concepts used: and  are related by the equation .Differentiation…

Q: 1. Find the radius of convergence of: k (a) (−1)k (¹+2i) * (z +2i)*. k=0 k (b) Ỹ (−1)² (z − 1 − i)*.…

A: 1) (a) The  given  series  is  Suppose that Then, Then, the radius  of convergence  is       (b) The…

Q: Now lim k→∞ Vk and lim k+1 k→∞ Wk+1 Wk = lim k→∞ = 6 lim k→∞ k k+1 k X X (3k+3)(3k+2)(3k+1) 1…

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Q: Solve the following initial value problem y^(4) − y = 5;   y(0) = y′(0) = y′′(0) = y^(3)(0) = 0

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Q: 2- Let A = ya, - y² ay, and Let I be a Contour as shown. y↑ a- Find VxA b- Find & Ardi L C- Find…

A: Note: According to the guidelines we are allowed to solve three subparts at a time. So please post…

Q: Part 1: What does it mean for a quadratic to “model” a real-world situation?  Can you imagine any…

A: Qudaratic equation has  two roots and can be used to calculate the values for both moving and…

Q: Apply the translation theorem to find the inverse Laplace transform of the following function. 7s +…

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Q: Kindly draw the direction filed lines

A: The given differnetial equation is .The direction field is given below.We need to plot the direction…

Q: 13. Let m, n, and k be positive integers. Prove that vp (mn) = vp(m) + vp(n) and vp(mk) = kvp (m).

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Q: Circle all expressions which could represent a weighted average of x and y. a) 0.1x + 0.8y b) 0.4x…

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Q: Solve the following initial value problem y′′ + 4y = 2x; y(0) = 1, y′(0) = 2

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Q: An invalid argument is given below. 3x (P(x) v Q(x)) vx P(x) .. 3X Q(x) The domain of x is the set…

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Q: Let A, B and C be square matrices of the same size. Prove that if A is symmetric then BABT is…

A: and are square matrix of sime size

Q: In a +bi form, find all values of (3i). Which is the principal value of (3i)i?

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Q: 1- We can dropping the higher order term in only one of the following system to derived the…

A: note : Since you have posted question with multiple sub parts, we will provide the solution only to…

Q: The graph of f(x) is given in the figure below. Draw tangent lines to the graph at x = -1.x=0, x= 3,…

A: The graph of the function is as follows:To Find:a) f'(-1)b) f'(0)c) f'(3)d) f'(6)

Q: XA and x & f(x)}. Show Cim ƒ.) 38. Let a, b, c, and d be any real numbers such that a < b and c < d.…

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Q: Evaluate the following continuous-time convolution integrals: (a) y(t) = (u(t) - u(t - 2)) * u(t)…

A: Note: As per the guidlines we are supposed to answer only first 3 sub parts. Please repost for the…

Q: State the domain and range of each function a) b) c) 3₂ f(x) 44 3+ 2 1+ 1+ 2 3 1

A: Domain : Domain of a function are those x-values for which the function is defined.Range : Range of…

Q: Use a numerical solver and Euler's method to obtain a four-decimal approximation of the indicated…

A: Given:The initial value problem is given by .To Find:We have to determine  firstly using and then…

Q: Find the image of the annulus 1 < |z| < 2 under the transformation w = z/z −1 Please dont provide…

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Q: 5. A recent college graduate has job offers for a sales position at two computer companies. Job A…

A: Job A pays: $50,000 per year plus 10% commission.Job B pays: $40,000 per year plus 20%…

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Q: Make a sketch of a function, f(x), with the following properties: o domain {x|x > −8, x ≤ R} range{y…

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Q: Consider the following graph of a system of linear inequalities: -10 -201 -10- O --1-0- 10 Knowing…

A: In this question, we will check the given points is the solution of the system.

Q: ou provide the solution to get the integral after substi

A: Comparison Test for improper integralsIf  on the interval  thenIf  converges then   also…

Q: 5. Show that the solution of the inhomogeneous iVP un - kurz = f(x, t), u(x,0) = o(x), u(x,0) = (x),…

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Q: Why are we equating epsilon = a/2 ?

A: If  such that  for every .We do not always need to take .

Q: Let n 22. Prove that the equation y" = 2r" has no solution in positive integers.

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Q: Define 11 r=II(-5)-(1-5) (-) (--) (--) where ne Z+ and n ≥ 2. Here, Z+ is the set of all positive…

A: To find the rational closed form expression for the given partial product , we can simplify the…

Q: Use a numerical solver and Euler's method to obtain a four-decimal approximation of the indicated…

A: Consider the given equation. and we have to find the value..Now, find the iteration.The number of…

Q: Consider the following all-integer linear program. 1x₁ + 1x₂ 5x₁ + 7x₂ ≤ 47 1x₁ + 6x₂ ≤ 24 2x₁ + 1x₂…

A: Therefore the 3rd option is correct