Q3: The matrix differential equation of the state variable model of a system has 0 1 -17 A = -8 -12 8 -8 -12 5 a)Determine the characteristic equation,b) what are the roots of the equation? c) is the system stable prove that using Routhe hwartz method

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Q: QUESTION 1 Check all statements that are true. If p is a polynomial of degree n, and q is a…

A: As per company guidelines, we are supposed to answer only first four parts for a multipart question.

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A: Since , you have asked multiple questions , we will solve the first question for you. If you want…

Q: 1. gx-) = - โ -เ sin 2x X< L2x

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Q: Find the general solution of the given differential equation, and use it to determine how solutions…

A: y does not converge to any function. y diverges. The solution is given below in the explanation box.…

Q: Prove that well ordering property to natural number implies 5th axioms of peano

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Q: B-- If a m.g.f of X is as follows: M, (t)= (1-21)-7 , find E(x) and V(x).

A: Explanation of the answer is as follows

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A: In a right stochastic matrix rows add to 1. In a left stochastic matrix column add to 1.

Q: f(x)=sin(x) is of order 1.

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Q: Consider the following autonomous first-order differential equation. dy = y2(9 - y²) dx Find the…

A: For an autonomous system of the form: dydx=f(y), it can be written that: The region above or below…

Q: 5. Given the equation xy = Arctan(ye*) where z is a function of a and y, Əz əz find and ar ду

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Q: Consider the autonomous differential equation dy/dx = fy), where the graph of fis given. Use the…

A: Given  The autonomous differential equation is... dy/dx=f(y) Let us draw the given graph f

Q: = Find the area inside r = 2(1 - cose) and outside r = 2.

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Q: Q6) Test the convergence of the following (n+1)(n+2) 1) Σ=1 n! n! 2) Σ=1 3) En=1 (2n+1)! (n!)" ·…

A: The solution is given as

Q: State the order of the given ordinary differential equation. (1-x)y" - 4xy' + 3y = cos x Determine…

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Q: : Find the domain and range. ( y = 2sin(3x + n)-1

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Q: Choose one = If yo 15, then the solution of the initial value problem (c) is the largest one for…

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Q: Solve d² y dy² – 3 +2y= xe3 dy dx

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Q: Find a. b. [ f(z)dz. if C 1 f(z) = z sin z f(z) = 2² - z+1 z²(z - 1) and C:|2|= 1 to positive…

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Q: Solve the given initial value problem and determine how the interval in which the solution exists…

A: Given initial value problem is y'=9ty2, y0=y0. We have to solve the given initial value problem.…

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Q: Q1- Choose or branch ( A-find the optimum values of X₁, X2, and X3 3X1 +2X2-X₁ = 1 2X1-2X2-4X3=2…

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Q: The following problem involves an equation of the form = f(y). dy dt Sketch the graph of f(y) versus…

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Q: The equations found in (a) and (b) form a system of two equations for and yo. Show how the DE can be…

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Q: 2-1 p x (p² + a²) ²²:

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Q: Show that the following functions are contin- uous but not differentiable: (a) z (b) |z² (c) Imz (d)…

A: Since you have posted a question with multiple sub-parts , we will solve first three subparts for…

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Q: Load in the SURVEY10 data from the regclass package. Run the associate function with 1000…

A: Given: data=SURVEY10seed=5150permutations=1000 To find: Solution

Q: Q2\ Solve by picard method (up to four approximation) y' + y = e* and y(0)=0 Find y(0.1)?

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Q: Determine if the series converges or diverges; if the series converges, find its sum. Σ (-1)n-17 gn…

A: The given series is                       ∑n=1∞-1n-179n We have to determined the given series is…

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: Find the general solution of the given differential equation. dy 2 +10y = 5 dx y(x) = Give the…

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Q: Find the general solution of the given differential equation, and use it to determine how solutions…

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Q: 11 [1] [3] [4] (²22) into 12 and maps v = into Let T: be a linear transformation that maps u = Use…

A: Solving first problem. Please post another question separately .

Q: k ven Wk-r [cos (+2)+i sin(+2)]; k=0,1,2,3,...n-1 k) Find the cube roots of (1+i). Express Z= e in…

A: We find the cube root of (1+i).

Q: Consider the initial value problem y' + y = 4+2 cos 2t, y(0) = 0. a) Find the solution of this…

A: Given initial value problem is y'+34y=4+2cos2t, y0=0. a We have to find the general solution of the…

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Q: Prove that √ ²07²dx = √= So e

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Q: 2y (1) (x²+2x) dx = (3 - In x²) dy separable exact linear in x linear in y homogeneous Bernoulli in…

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Q: + 2y

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Q: Determine whether the differential equation (4x² - 2xy + 8) dx + (4y² − x² + 4) dy = 0 is exact. If…

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Q: 3. Show that X = (x)Ax=b, x ≥ 0} is convex.

A: By definition of convex we will prove X is convex