Find F(s). F(s) = L{cos(8t) Ut - π)}

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Q: Solve the following initial-value problem *-0 = 6y" + 6y = cos(x); y(0)3, y'(0) = -1.

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A: In the given problem the coordinates of the four points of the polygon are given.A( 2,1) B( 3,5)C(…

Q: 7 Let G=(x) be a cyclic group of order 24. List all the elements in G that are of order 4.

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Q: Use undetermined coefficients to find the gen- eral solution of x' = Ax + f where A = 1 [44] -2 f =…

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Q: (1)-(6210 @ L (3) - (X + Xx+4y) = X. (@) L ( 3 ) = ( 3 ) しい روح

A: (i) The given  linear  transformation is  We know  that   be  the  standard basis  of  Thus, the…

Q: Wednesday's Speeds: 34,28,24,17,39,44,64,33,27,21,38,40,60,30,25,37,30,25,35,30 Sunday's Speeds:…

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Q: b = 4 U a α a = 36.9° B= 53.1 CO Use the right triangle and the given information to solve the…

A: Since you have asked multiple questions,As per our Q & A guidelines we can answer only first…

Q: 3) A vertical right circular cylindrical tank measures 20 ft high and 8 ft in

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Q: maximize: subject to: 2x1 + x2 0≤x≤ 5 0 ≤ x2 ≤7 x1 + x₂ < 90

A: (.) Given ,     In simplex method we add slack variables.Let slack variables,  then inequalities…

Q: Determine whether the given graph has an Euler circuit or an Euler path. P b 9 (A) Euler circuit…

A: Euler Path:An Euler path is a path that travels through every edge of a graph exactly once.Euler…

Q: A = (a) Find cos(At) and sin(At) -2 3 (b) Find the general solution of y" + a²y = 0 where a ‡ 0

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Q: compute the integral from 88 sin (3x) x³ + x -dx using Residue theorem.

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Q: Let U₁ = (1, 0, 0), U₂ = (3, 7, -2), U₂ = (0, 4, 1). Le + IR ³ have the usual inner product. use the…

A: Solution is uploaded below.

Q: Complete the table below for the function f(x) = Text Domain ✔ Range ✓ x-intercept(s) ✓…

A: As per you asked that we have to find y-intercepts.Given is

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A: The given is that the rate at which the intensity  of the vertical beam of light decreases is…

Q: Evaluate the flux integral: (0, y, z). Nas where S is a surface given by {y² + 2² = 1, 2| ≤ 8} that…

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Q: 1. Consider the linear system −1 1 X₁ 2 2x₂ -1 2x₂ 2 2 a). Find the exact solution of the system.

A: As your question has multiple sub parts according to guidelines I am solving  the first problem…

Q: (e)  Show that the matrix is diagonalizable and find an invertible matrix P and a diagonal matrix D…

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Q: Let F be a C¹ vector field and let W be a symmetric elementary region in R³ with boundary OW = S.…

A: Gauss divergece theorem

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A: Polynomial function: A function having the form  is calledthe polynomial function of degree n where…

Q: All members of our painting team paint at the same rate. If 20 members can paint a 1600 square foot…

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Q: Using maple software A diameter of the circular base coincides with the x axis from x = −1 to x = 1…

A: Answer given below and explained in great details.

Q: Given that u = O O O O O √29 -3 √29 2 /29 /29 √29 6 √29 4 -3 6 3 H 29 and v= No answer text…

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Q: Calculate 5 d.S for the surface S: y = 4-z², 0≤x≤z≤2 (Express numbers in exact form. Use symbolic…

A: Solution is uploaded below

Q: Given the number a in tabular representation digits of which are written in direct order 3 7 5 6 1 2…

A: Given: The number in tabular representation with digits written in direct order: Objective: The…

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Q: Q/Lx 5²= {(xX₂, X₁) ER² : x² + x² + x²³²-13 be centered in a ball (0,0,0) andradius 1 Prove that…

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Q: Consider the differential equation y" - y' - 20y = 0. Verify that the functions e-4x and ex form a…

A: We have to verify that the functions e-4x and e5x form a fundamental set of solutions of the…

Q: (B) Let f be a function of x and y with fx (x, yo) = 0 and fy (x,yo) = 0 for some (xo. Yo) € dom f.…

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Q: don't understand how ba^2b^-1=beb^-1. Why a^2=e. I don't understand that.

A: how ba2b-1=beb-1?And a2=e?

Q: Solve the logarithmic equation. log 4(6x-5)= - 1 Select the correct choice below and, if necessary,…

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Q: 1. The eigenvalues of the coefficient matrix can be found by inspection and factoring for the…

A: (.). Given system of differential equation is,           where  is a coefficient matrix.(.) We find…

Q: When ax³ 2x² + cx- 4 is divided by x + 2, the remainder is 4. When it is divided by x-1, the…

A: We have, by the remainder theorem and according to the problem,we get,

Q: Find a matrix A if The matrix A = 3/5 7/5 23 14 A: 30 (₁ 12 2/5 9/5 (Note: Enter the values in a/b…

A: . We have to find the matrix

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A: Here we have to find the resultant graph by shifting the graph.

Q: Find the general solution of the given differential equation. x²y' + xy = 3 y(x) = Give the largest…

A: (.) Given differential equation is ,                which is a first order linear differential…

Q: Find (5x + 4y)dA where R is the parallelogram with vertices (0,0), (-4,2), (-3,4), and (-7,6). R Use…

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Q: Determine which of the graphs below have Euler circuits. If the graph does not have an Euler…

A: Given two graphs have Euler circuit or not.

Q: Find the indicial equation and the exponents for the specified singularity of the given differential…

A: Given differential equation is…

Q: In the vector space of real functions on [-, π], let the inner product be defined by ㅠ (f,g) = f( […

A: Using the Gram-Schmidt orthogonalisation prosess to find an orthogonal basis.

Q: systems. x' = Ax Use matrix exponentials to solve the following A = 3 4 -5 -4 - x(0) = = [32]

A: ,

Q: 2. Classify (if possible) each critical point of the given plane autonomous system as a stable node,…

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Q: Find the Fourier series for the periodic function: f(x) = { x ²₂ if -1 < x < 0 if 0 ≤ x < 1 f(x + 2)…

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Q: Let x, y ∈ R+. Prove that if x ≤ y, then x^2 ≤ y^2 by (a) a direct proof, and (b) a proof by…

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Q: Л The region bounded by the graph of y = sin ¹ (2.x² - 1) and the line y = is rotated 2 about the…

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