- For the system dX(t) dt Lyapunov theorem =[₁₁]X(t), check whether the system is asymptotically stable using

Q: cos (x sin )=√₁ (x)+2 J₂ (x) cos 26+2 J₁ (x) cos 44+... sin (x sin )=2 J₁ (x) sin +2 J, (x) sin 36 3…

A: Using generating function of Bessel functions

Q: If the Wronskian W of f and g is t2e²t, and if f(t) = t, find g(t). NOTE: Use c as an arbitrary…

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Q: ={b₁,b2} and C= {C₁,C₂} be bases for a vector space V, and suppose b₁ 1 Let B= a. Find the…

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Q: EX using the Newton-Raphson to finda root of the eqution f(x) = COSX -X Xo =픕 4 > -5 =0 € = 10

A: Introduction: The formula of the Newton-Raphson method to estimate the roots of an equation y=f(x)…

Q: Let m and n be two positive integers greater than 1. ecos (α"). am m then the value of (1) is n If…

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Q: 1. Solve by Gauss Elimination 6x + 3y+6z=30 2x+3y+32= 17 x+2y+2x=11 w+y+2=19

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Q: 3. Solve the following Cauchy-Euler differential equations: (i) (x² D² - xD + 2) y = x log x, (ii)…

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Q: Q2: If x= 2, 4, 6, 8, 10 and y= 2, 1, 3, 8, 20 write the differences table and find (1)f' (3.1) (4)…

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Q: f(x): = X-4 x²-4x-21 Vertical Asymptote(s):_ Horizontal Asymptote: x-intercepts: 6+ st ++ 34 24 14…

A: The x-intercept is the point where the graph of the function intersects the x-axis and the…

Q: Consider the model dP dt where P(t) represents the size of the population at time t. = 5P + 10P²,…

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Q: Solve the following initial value problem ry' + 4y = 8x¹, y(1) = 3.

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Q: Activity 2: You are working on another electronic system that produces a voltage (v) as a function…

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Q: Q2/1 x = 0; pi/100 : 2 Pi; Y₁ = Sin(x) 2. Sin (X-0.25); 83 Sin (X-0.5); ун Y₁ = Cos (x); plot the X…

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Q: QUESTION 5 Many patients get concerned when a test involves injection of a radioactive material. For…

A: Given the data is

Q: Find the area bounded by the curve x² =16y and the x axis from x = 1 to x = 3. A. 0.5917 C. 0.5417…

A: We can find the area bounded by the curves. Note : As per our Guidelines we can solve first…

Q: Let f(x) = sin(sin(sin.x)) for for all x in R (f(x) x-0 g (x), and g(x) = (sinx), VxER, then lim is…

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Q: Find the product. Simplify your answer. (3s + 1)(3s + 4) Submit

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Q: using secant approach

A: Note:- As per our guidelines, we'll  answer the problem using first mentioned method as particular…

Q: wo lattice points (a,b) and (m,n) are mutually visible if and only if a−m and b−n are relatively…

A: see my solution

Q: By using Value of fixed point approach solve the A = √2 + √2 + √2+...

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

Q: Find & simplify (a) equation of the tangent plane to a surface 2 = = f(x, y) = = ln (√√9x² + 4y² –…

A: The given problem is to find the equation of tangent plane to the given surface at given point…

Q: Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule. Estimate…

A: 2 Given integral is ∫−11x2+1dx. We have to estimate the given integral by using Trapezoidal rule and…

Q: 1. Let A=(a)xn be symmetric and positive definite. Show that a) a>0, i=1,2,...,n. |a|< (aa)², i,…

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Q: Use the geometric method to find the eigenvalue(s) and corresponding eigenspace(s) of A. A₁ = A₂ = A…

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Q: Ex: Find the center of mass of the solid whose density &z and bounded above by the plane z=y, below…

A: To find: Center of mass of the solid bounded above by z=y, below by x-y plane, and laterally by the…

Q: 1 (In (n)) It is not possible to use the Direct Comparison Test to determine the convergence or…

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Q: we the following linear diffe D² - 2D + 1) y = x² e³x,

A: *By Bartleby policy I have to solve only first one as these are all unrelated &amp; lengthy…

Q: In the first term, Sam's courses and grades were as follows: Calculate Sam Grade Point Average…

A: Introduction: Credits attempted - This is the total number of credits you've attempted for the…

Q: MBF 3C1 - April 2022 UNIT 3 ASSESSMENT 1 - QUADRATICS II Knowledge/Understanding 1. Multiply and…

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Q: . Let f and g be two arithmetical functions. We have f(n) = [g(d) ⇒ g(n) = Σµ(d) ƒ (77). = d|n dn

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Q: Sales of a particular product for the years 2017 through 2020 have been 47,150, 52,477, 64,750 and…

A: Given- Sales of a particular product for the years 2017 through 2020 have been 47,150, 52,477,…

Q: Consider a system of two toy railway cars (i.e., frictionless masses) connected to each other by two…

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Q: Q3: Use Secant method to find the root of the function f(x): f(x)=x²-6 with xo =3 and x₁=2 . Do 5…

A: It is given that fx=x2-6. We have to use the secant method to find the approximation of the root of…

Q: calculate y" at x=1 given the following y(0)=5. system y"=5xy'+2xy+5x+1. y'(0)=2

A: It is a numerical analysis problem and let us solve it in the next steps using Euler's method.

Q: Given the relation f(x) = 2x^2 + 1 - e^x a. Using the convert equation x = √( e^x -1)/ 2, find the…

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Q: dy Use implicit differentiation to obtain if given dx -1 e¤¬y + cosh(2x) + tan¯¹ x = π.

A: The implicit functions are represented as: f(x, y)=k, where k is a constant. The explicit functions…

Q: 2/ Test the following infinite Series C E- n=2 1 nhn (n)

A: Use the integral test.

Q: an error of magnitude less than 1-cos(2x) 4 Use the identity sin² a to obtain the Maclaurin series…

A: (4)

Q: c) Estimate the area under the graph of f(x) = sin x from x = 0 to x = using four approximating…

A: Given function is fx = sinx x∈0,  π2 number of rectangles = 4 Step size  h= π2 -04   = π8 ⇒ h = π8…

Q: 2 J₁'(x)=Jn−1 (X) — Jn+1 (x)

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Q: solve by gauss seidal method  4x1-x2-x3=3    -2x1+6x2+x3=9   -x1+x2+7x3=-6

A: The Gauss seidel method is an iterative method to find the solution of the system of equations. We…

Q: Your company produces computers each month. In a given​ month, the company has fixed costs of…

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Q: By using polynomial division first, evaluate the integral of: ʃ (e2x + 1) dx / (ex + 1)

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Q: Consider the equation below: u’=u2 – (7/x)u + 8/x2; u=-y’/y Obtain the linear second order…

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Q: You have 100 feet of fence to make a rectangular play area alongside the wall of your house. The…

A: Here we take perimeter of play area is 100 and we have to maximize the area.

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

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Q: let a be a nonempty compact subset of R and let B be a nonempty closed sub set of R such that A…

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Q: c)[ Find the equation of the plane through the point (5, 1, 0) which is parallel to the lines x = 2…

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Q: Ex: Find the center of mass of the solid whose density &z and bounded above by the plane z=y, below…

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Q: Determine the values of a, if any, for which all solutions of the differential equation y" − (2a −…

A: This is second order differential equation, it has two linearly independent solutions, if both are…