3.2 For the following systems, find the equilibrium points and determine their stability. Indicate whether the stability is asymptotic, and whether it is global. (a) i= -x3 + sin4x

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Q: 1 B = -2 -2 ? Why? -1 5. 327 3. :-

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A: We will start by taking an exponential function a×bx and then find values of constant a and b

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Q: Use the Runge-Kutta Method Solve the : ら52び20 らlo)1 )h=or

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Q: Duse the imProved wmethod solve the: S+9taux=sいmてt)ylo) 21he ol Say

A: We will use the formula of improved Euler's method which is given by  yn+1 = yn + (h/2)  [f(xn, yn)…

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A: q-5   unemployed  employed total male 206 412 618 female 358 305 663 total 564 717 1281…

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A: Directional derivative.

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Q: h. Describe one possible grand prize turn. What can you say about the values of the two spins? 3 6.…

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Q: Exercise 6.1.8. Let G be a group and H <Ga cyclic subgroup of G. For any gE G, show gHg¯1 is cyclic.

A: Let G is a group and H≤G a cyclic subgroup of G.   To Show: For any g∈G, gHg-1 is cyclic

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Q: Question 4. (or both) that is an equivalence relation, write the equivalence class of any one…

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Q: I. Find the weighted mean price of three models of television sets sold. The number and price of…

A: Given:   Model       Number                  PriceA                       8                   10,000…

Q: part e

A: The time after which we encounter the next marker is determined as shown below.

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A: School fee at a certain school is due in the beginning of the year. The fees are set at R12000 for…

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Q: Consider the following statements about the surface of equation 2 = ye- – 2xy? and the point P(0,-2)…

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Q: Use "shortcut" formulas to find D[log10(arccos(2*sinh (x))]. Notes: Do NOT simplify your answer.…

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Q: A car travels down a highway at 50 m/s. An observer stands 250 m from the highway. (a) How fast is…

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Q: School fees at a certain school are due at the beginning of the year. The fees are set at R12000 for…

A: We need to use sum of geometric progression here  a+ar+ar2+ ...n th term =arn-1r-1

Q: Problem 1. (a Let A = (" ), (a, b, c, and d are real numbers.) (a) Show that A is positive definite…

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Q: 35) y+ y, =-5cos(2t), y+y, = 5cos(2t), y;(0) = y{(0) =1, y,(0) =-1, y,(0) = 1.

A: The solution is given as

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Q: 11.Which corresponding angles establish the congruence of the given figure below? a. ZK b. ZR C. ZM…

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Q: Show that for every positive integer n there exists an irreducible polynomial of degree n over Fp.

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Q: ĐUse the fuler method's Solve the: 5.525ー0 ら10)=1 hこer

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Q: Find the general solution for the following differential equations: (a) (1 – xy + x²y²) dx + (xy³ –…

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Q: need an example of a critical point of a nonlinear system of differential equations that satisfy the…

A: This is a question from stability analysis.

Q: d – 2g f – 2i 3c -а + 4g -b+ 4h -с+ 4il е — 2h 3b a b с Let |4| = |d e f = 2 and B = За g hi

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Q: 2.4 If (x, y) = -r* - y" + 2ry – 8r" + 7y, , then in the process of obtaining its critical points…

A: Given a function f(x,y) = -x4-y3+2xy-8x2+7y   Also given the equation obtained during the process of…