Use the Cayley-Hamilton theorem to find A', A', and A“ for the given matrix A. 2 1 - 3 - 3 -1 6 1 ... Find A Select the correct choice below and, if necessary, fill in the answer box to complete your choice. А. А O A. (Type an integer or simplified fraction for each matrix element.) ОВ. В. А does not exist.

Q: Consider the path of a particle given by the parametric equation x = 1+sin t and = -2+ cost for 0<t<…

A: In this question, the concept of the parametric equation is applied. Parametric Equation A set of…

Q: Exercise 1.9 Suppose z = a + bi, w = c + di. Define z < w if a < c, and also if a = c but b < d.…

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A: Introduction: If 2 secant segments square measure drawn to a circle from AN exterior purpose, the…

Q: 4) Consider the function g defined by ga, y) - cas (T x Jū ) + 77X logg(x-y) (c) in what dire ction…

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Q: Hamiltonian cets / path in Bipartite graphe Show that the following graph G is bipartite by…

A: Given a graph. First we have to show that the given graph G is bipartite by partitioning the…

Q: ) Using Rational Root Theorem and Descartes' Rule of signs. Types of Positive Negative Imag Find all…

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Q: 9) Find the center of mass and moment of inertia about the x-axis of a thin plate bounded by the…

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Q: 2. If the product of matrices cos² 0 cos e sin 0 A = cos O sin 0 sin² 0 cos² cos o sin sin? ó B =…

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Q: Compute the left regular representation of the group G = {e,a, b} given by the group table below by…

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Q: 2) Using Rational Root Theorem and Descartes' Rule of signs. Find all roots of f(x)=3x° + 2x-12x -…

A: To find all roots of the below equation. fx=3x3+2x2−12x−8

Q: (4) Determine the roots in rectangular form, (-14 + 3i) 2/5 (Note: Sketch your answers in the Argand…

A: Given: -14+3i-25 To find: Roots of the given complex number and Sketch the Argand diagram.

Q: Utt = 8uxx for 0 < x < ™ u(x, 0) = x² u(x, 0) = 1/2cos(8x) Uz(0, t) = u„(T, t) = 0 %3D II

A: The given P.D.E is                            utt=8uxx for…

Q: 1. 2– 2y + 2z = 3r – 2y + 2z = 3 2x – 3y – z = –72x – 3y – z = - 7 -x + 3y – 3z = –4-x+ 3y – 3z = –…

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Q: Solve

A: We use Mathematical Induction method to prove given example.

Q: 1. Prove that if f(x) is bounded and measurable on E, and c is any constant, OMNIA then S, [f(x) +…

A: Given, f(x) is bounded and measurable on ETo prove: ∫Ef(x)+c=∫Ef(x) dx+c m(E)

Q: (1 2 3 4 O = (3 ).r = G 2 3 4 5 6) 5) 1 4 5 6 2 2 4 1 3 6 1 3 4 5 5 2 4 3 1 6 Find the orbit of 1…

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Q: The domain of definition of Rx) = /log (log x) – log (4 – log x) – log 3 is (b) [10°, 10*] (d) (10°,…

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Q: Solve the system of linear equations using iterative methods 6x1 + 2x2 + X3 = 26 2x1 + 8x2 - 2x3 =…

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Q: . Use the Euler , improved Euler and Runge-kulta. methools to solve the fellowing ODES: d. ý <…

A: We can solve this by using given information

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Q: Consider the group D4 = (a, b) = {e = (1), a, a², a³, b, ab, a²b, a³b} %3D where a = (1 23 4) and b…

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Q: 1 2 3 4 4321 (b) 21 4 3 (c) -2 3 41 2 -3 -2 10-2

A: Determinant is 4

Q: Let a, b, c be real numbers. If ax' + bx +c = 0 has two real roots a, B where a 1, then show that…

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Q: Suppose the line y= 7x - 1 is tangent to the curve y= f(x) when x = -8. If Newton's method is used…

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Q: Find the flux of the vector field F across the surface S in the indicated direction. F = x 2y i  -…

A: To find the flux of the vector field F across the surface S. F=x2yi−zk S is the portion of the cone…

Q: Use the above formula to write each of the following limits as an integral (a) (b) Lm=0 nm-1 lim

A: Introduction: When we determine a definite integral, we actually divide the region that is bounded…

Q: (a) Calculate (2x + 1) Vx + 3 dx. (b) Calculate 2 4.x²e3 4.x2e dx. 0, (c) Calculate 2x d -t2 e dt.…

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Q: Consider the integral liz|3 - +z dz (a) Compute the above integral when I is the circle |2| = 2,…

A: We have to find the integral ∫τiz3+zdz when τ is the circle z=2 (a) traversed once counterclockwise,…

Q: Q2: Find a root of x- 0.5 – 2-2x = 0 by using Newton-Raphson method correct to %3D 4 decimals so…

A: x-0.5-2-2x=0⇒f(x)=x-0.5-122x⇒f'(x)=1+2ln(2)22x Taking initial guess x0=0 Newton-Raphson method:…

Q: 4. The slope of a secant line represents the average rate of change. 5. When simplified,…

A: True. The slope of a secant line represents the average rate of change.

Q: Q1) Solve

A: We solve given PDE by direct integration method.

Q: 12 3) Using Rational Root Theorem and Descartes' Rule of signs. Find all roots of f(x)=4x° + x² - 8x…

A: We have to find roots of polynomial using descartes rule ,rational root theorem and synthetic…

Q: Find the solution of: -1,8 0 5,3 -1 4 X' = 1 -2 -3 X 1 -3,4 4 -2,8 1,5 1 1.

A: Given system is X'=102-1.8005.30-141-2-30001-3.440-2.8001.51X Let…

Q: Q4) The state space representation of a dynamical system is given as: *(t) = [ ) x(t) + [LLO %3D…

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Q: 2. Find the Fourier series expansion of: | 0, f(x) = -1<x < 0 sin TX, 0 < x < 1 and then use it to…

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Q: Let f(x) = x defined on [0, 1]. Show that f is integrable over [0, 1] and S; zdx = ī = xpx ° Use the…

A: We have given a function , fx = x defined on 0 , 1. We need to show that , f is integrable. Also ,…

Q: Q3: Construct a 3rd order Lagrange polynomial of the function f(x) = Inx.cosx where x e [1, 4]. Then…

A: Solution :-

Q: SEGMENT PROPERTIES Directions: Solve for x. Circles may not be drawn to scak. 8. 9.

A: Introduction: If 2 secant segments square measure drawn to a circle from AN exterior purpose, the…

Q: If f is.q field a hom- saplar monic polphomial in tay can be factored as q, product of monie primes…

A: Any non-zero non-unit element as a product of primes up to order and up to units. Now  If a≠0 and…

Q: [B] Find the dual for the following linear programming problem: (i) Maximize Z = 3x + 4y + 5z…

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Q: 4. Deter mine wether.the.semies..Converyes..cor.diverges. C. 3n+ n n3+ 3 n+5 .b. (n)...

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Q: x2 – 21. lim 2x - 8 = 6 -

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Q: 22 Suffosethent fco)-cosg()-e unedicalafforonimatson fncb f60-8),9G0) fox the Values ofhas…

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Q: 1. Evaluate the following integral: L(1-e-2*)dx (a) analytically; Use Google sheet for the…

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Q: BY Find the solution of the given initial value problem 4 1 0 x, x(0) 3 6. 2.

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