14 1 01 5. Find the eigenvalues and eigenvectors the system X'= 0 4 1 1 [X]. lo o Use the eigenvalues and eigenvectors to solve the system.

Q: Q4// choose the correct answer : 1) find the approximate solution x3 using N-R method for the…

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Q: A, B and C are points in space relative to 0 such that AB 1 CO and AC 1 BO. Prove that BC 1 AO. The…

A: Given: A, B and C are points in space relative to O such that AB⊥CO and AC⊥BO. To show: BC⊥AO.…

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Q: Q4: Using Cayley - Hamilton theorem to find the inverse of the matrix A, where 1 1 2 A = 3 1 1 2 3 1

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Q: a) Show that the fourth-order Runge-Kutta method, k₁ = hf (ti, wi), h k₁ k₂= hfti+ Wi + 1/12) 2' h…

A: Given:  k1=hfti, wik2=hfti+h2, wi+k12k3=hfti+h2, wi+k22k4=hfti+h, wi+k3 and wi+1=wi+16k1+2k2+2k3+k4…

Q: Q4\ Solve by Gaussian elimination x - 4y= 2z = 21 2x+y + 2z = = 3 3x +2y-z = -2

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Q: || S 37 I+zx/ xp x

A: the given integral is ∫xdxx2+13 substitute  x2+1=u2xdx=duxdx=du2 therefore the given integral…

Q: Q3\ using Euler method, find an approximate value of y corresponding to X€ [0 -0.7], Given = x(x +…

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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 .

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Q: (m) dy dx y separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none…

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Q: Show that the following equation has a solution on (4,8). 2x-5= -3 sin() + Drag and drop an image or…

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Q: 1. [5pts Consider the function defined by h(x, y) = √ye. (a) Find the domain and range of h. (b)…

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Q: List five different natural numbers that are congruent to 8 modulo 6.

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Q: Solve the P.D.E XUX-July =o by using Change of variable α=xy and B=X. the

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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…

Q: 05 Suppose that two dice are rolled such that : A: what is the pr. that a sum of (7) or (11) turns…

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Q: 1. Let F(x, y) = (1 — y, ½x³ +e³²), and let C with the position vector r be the portion of the…

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Q: Assuming that the boundary conditions are known, the Ostrokradsky equation for the following…

A: Given functional is Iu(x,y)=∬Ωxux-uxu+yuydxdy Let F=xux-uxu+yuy         (1)

Q: 10. Consider the differential equation x" + 16x = f(t) where f(t) = 2- |t| for -2 < t < 2 which is…

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Q: Let X be a continuous random variable with a pdf given by f(x) = (3x^2)/2 where x lies in the closed…

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Q: 2. (a) Let S be the part of hemisphere x² + y² + z² = 4 in the first octant. Compute faz²ds. (b)…

A: Given: x2+y2+z2=4 To find: Solution

Q: CES Ф=2 min w₁x₁ + W₂x₂ min *' + Жау лах, тих, *,+-3,-у

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Q: * - 10x + 9x = 5t, x(0) = -1, x(0) = 2

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Q: Find the general solution of the given differential equation. 2 +6y= 3 dy dx y(x) = Give the largest…

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Q: What is your estimate of the slope? slope (Round to the nearest integer.)

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Q: Describe geometrically the effect of the transformation T. Let A = -[1] 0 Define a transformation T…

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Q: Q6) Use Gauss- Jordan Elimination method to solve the following linear equations. 2X + 2Y = 2…

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Q: Solve the given differential equation. dx 4y² + 6xy dy 3y² + 2x

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

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

Q: Determine the values of r for which the differential equation y" - 4y = 0 has solutions of the form…

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Q: Q4\ Solve by Gaussian elimination x - 4y-2z = 21 2x+y + 2z = 3 3x+2y-z = -2

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Q: Find the general solution of the given differential equation. 2 +6y= 3 dy dx y(x) = Give the largest…

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Q: 3) Determine the point(s) of intersection of the lines L₁: (3,1,5) + s(4,-1,2) and L₂: x = 4 + 13t,…

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Q: (a) Let A = B(X) where X is a Banach space. Suppose there exists m >0 such that ||Ax|| ≥ m||x||, Vx…

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Q: Q5A)Find volume of body from above Z = 1 - y² and below Z = x² using Triple integration. B)Solve the…

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Q: Find an explicit solution of the given initial-value problem. dx = dt 8(x²+1), (²)-¹ 1 X=

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Q: Find the residue of 3 2 z² - 1 N at z→ ∞0.

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Q: Find f'(x). -2 f(x) = (x³ + 1)-² f'(x) =

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Q: Find dy dx II - for the function y = 17x. dx

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A: Given: A=1-30-40241-2b=9-64 To find: Solution

Q: y + z = 6, x + 2y +3 nsistent, if λ is

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Q: 9. Let f(t) be defined as f(t) = (1 - <! -<< <t<n Extend f(t) periodically and find the Fourier…

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Q: Solve the given initial-value problem. The DE is a Bernoulli equation. y1/2 dy + y3/2 = 1, y(0) - 16…

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Q: Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some…

A: a) dydx=x+yx    Is Exact since ∂x+y∂y=∂x∂x    Is linear in y because we can write it as dydx-1xy=1…

Q: Please find the Z transform of the following two sequences and determine the region of convergence…

A: As per the question we are given two sequences : 2-n+1 u[n-1] [(1/2)n + (1/4)n] u[n] And we have…