H3. Classify the critical point of the linear system of first order equations dr : 2ах+ у, dt dy -x, dt in the cases when (i) a = ;; (ii) a= 0; (iii) a = -;.

Q: (1) Find the slope-intercept form for the line perpendicular to 2x-3y=-6 and passing through (4, -9)

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

Q: Q2/ For the system y² + 5y² + 4y= 2xlf) osop. Le termine the h(t)

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Q: Write down the linear equation where the standard error in the parentheses below the coefficients.…

A: From the given output, Constant value=-41.0293 ln PDEBT=-0.2267 ln HC=12.32295 ln INFLATION=0.007450…

Q: Let fi (2) = - 5x – 5, f2(x) = – 6x² – 8x – 3, f3(x) = 2a² + 10x + 3, and fa(x) = 2x – 9. Find a…

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Q: Let f: X -> Y be a function from a metric space X to a metric space Y. Let x0 be in X. When do you…

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Q: At what point does the lines of 3y+6x=4 and the line y=-2x meets?   (2, 1) (0, 3) (1, -2) Never…

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Q: Find the real-valued solution to the initial value problem Jyí 3y1 + 2y2, Y₂ -5y₁ - 3y2, Use t as…

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Q: Calculate (x+y+z) ds

A: In this question, we evaluate the surface integral for the given intersection of the curves.

Q: (d) X₁ = {(1,0), (0, 1), (1,1)} CR² (e) X5 = {(1,0,0), (0, 1,0), (1, 1, 1)} CR³ (f) X6 = {(1,0,0),…

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Q: Find two linearly independent solutions of y" + 1xy = 0 of the form Y₁ = 1+ a3x³ + α6x6 +.. Y₂ = x +…

A: The given problem is to find the coefficients of the 2 linearly independent solutions for the given…

Q: Example B Consider the two linearly independent functions (1) (2) Y = 1, y = 3k. A second-order…

A: Only solve the given determinant which equals to zero .

Q: What are the roots of the auxiliary equation for a homogeneous linear equation with real, constant…

A: We have to solve the problem

Q: Let S be the surface parametrized by R(u, v) = (2u sin v, 2u cos v, -v), where 0 ≤ u≤ 2 and 0 ≤ v≤.…

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Q: At what point does the graph of 3x+y=0 and x-y=D4 intersect?

A: Given: 3x+y = 0 y = -3x And x-y = 4 y = x-4

Q: Find the solution(s) to the following system of linear equations: -3r + 2y + 2z = 5, - 3, —х — 4у +…

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

Q: 4.In the mathematical Equation of Linear Regression y=a + a₁x+e₁ (ao,a₁) refers to a. (Y-intercept,…

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Q: f1 (x) = ex+a, f2 (x) = ex+b, f3 (x) = ex+c a,b,c are constants. Using Wronskian, determine if the…

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Q: Two linearly independent solutions of the equation y"+y - 6y = 0 are: Select one: а. e-31,e2t b.…

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Q: 1. Give the order and classify the following equations as (i) homogeneous linear, (ii) inhom geneous…

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Q: Express the double integral in terms of a single integral with respect to r. Then use a calculator…

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Q: Write y – 2j + 5ý + y = = | as an autonomous system of first-order equations.

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Q: 21. At which point do the graphs of the following equations intersect each other? 2x - y+ 4 0 I +y =…

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Q: The transmission dynamics of a disease in a population is represented by the equation ما بين ,al - (…

A: As per the question we are given a transmission dynamic model where : I : number of infected peple…

Q: Given that y, = -3r²e=3#, y2 = 7x° are solutions of a linear homogeneous equation with constant…

A: Given that y1=-3x2e-3x and y2=7x3 are solutions of a linear homogeneous equation with constant…