14. Assume that a matrix A has only zero eigenvalues. What is the Jordan-Normal Form of A? What is the main diagonal of exp(At)?

Q: Use Laplace transform to solve the partial differential equation: d²u du du(x,0) = t> 0, 0<x<1,…

A: Introduction: Laplace remodel is called in honour of the outstanding French mathematician, Pierre…

Q: Solve the boundary value problem y3y' + 2y = 0 with y'(1) = 1, y(3) = 2e¹-e² h = 0.5

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Q: Let What is the rank of AT A? Answer: A 3 0 0 0 0 0 5 11 −4 0 3 6 5 2 0 0 3 6 2 0 0 0 8 0 0 00 0 0

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Q: Find the least squares quadratic which best fits the curve Y= ex interval •< X<I ao+aix +azx over…

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Q: 12 f(x) = X ¹²³ + x² + x² + x² Show that whether f(x) is irreducible or not

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Q: Consider a triangle ABC, on each of whose sides equilateral triangles are dra

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Q: Use Laplace transform to solve the partial differential equation: dy dy +xt where y(x,0)= 0,…

A: Solution

Q: given parameters a,b > o and the given sequence x₁= b X = n+1 4 (x₂ + 4a) n Xn a. Show that a b.…

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Q: radius of convergence is not 1/3. It says 1/3 is incorrect.

A: given series ∑n=1∞2+-1n·x+4n-1 radius of convergence is defined as R=limn→∞12+-1n1n

Q: For a data set of size 10, the highest order of a polynomial that could be fitted using Least…

A: Inbtroduction: The least square approach involves minimising the sum of the squares of the points'…

Q: Use Laplace transform to solve the partial differential equation: d²u du du(x,0) t> 0, 0<x<1, u(x,0)…

A: Solution

Q: an= (-5)n an an = COS 4n+n3 3n+4" os(T) 8

A: The detailed solution with explanation is presented as the next step.

Q: a non-planar graph that is not homeomorphic to K5or K3,3.

A: Solution:-

Q: Let , ² be the complex cube roots of unity. Let z₁, z₂, z, be complex numbers such that z₁+z₂+z3 = A…

A: We will use properties of cube root of unity  ω3=1  and  1 + ω + ω2 =0

Q: Use Laplace transform to solve the partial differential equation: dy dy +xt where y(x,0)= 0,…

A: Solution

Q: ) Find the closures of the following sets:     Q, the set of rational numbers   2) Show that the…

A: Solution

Q: Given P(A^c-complement)=0.40, P(B) =0.40, P(AUB)=0.75, P(A)= 0.60, P(B^c)=0.75 Find P((AnB)^c)

A: Additional Law of Probability gives P( A ∪ B ) =P(A) + P(B) - P(A∩B)

Q: Q4) Find the largest eigen value for the matrix A- [1 2] A= with x (0)=(7/17 1) 54

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Q: Compute for a real root of 2 cos √x - sin √x = 4 accurate to 4 significant figures using Fixed-Point…

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Q: Use Laplace transform to solve the partial differential equation: dy dy +xt where y(x,0)= 0,…

A:

Q: we the boundary value problem y3y' + 2y = 0 with (1) = 1, y(3) = 2e¹ - e² h = 0.5

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Q: Calculate 2 -3] -1 2022

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Q: Solve for the value of x. Points A and B are both centers of the given circles. 9 H 8 B

A: Solution

Q: 2) 2x2 csc(x) dy dx

A: The solution is given as

Q: Find the chromatic polynomial of G

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Q: 28. Transportation A subway map is shown below. Is it possible for a rider to travel the length of…

A: Yes it is possible for rider to travel the length of every subway route without repeating any…

Q: For a data set of size 10, the highest order of a polynomial that could be fitted using Least…

A: Last option is correct i.e. 9

Q: solve: رما) (c) ux = 0 in u(o, y) = ₁+ y² ity² 4x = 0 in R w(x, 3x) = sin x = 0 Wyy u(x,0) = sin x…

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Q: - Show that the area of the triangle whose vertices are the [x1 yi det X2 Y2 A - points (x₁, y₁),…

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Q: Use substitution to find the Taylor series at x = 0 of the function In 1 + 4x8 What is the general…

A: We have to find Taylor series for function in 1+4x8

Q: Use Laplace transform to solve the partial differential equation: d'y dy +xt where y(x,0) = 0,…

A: Solution

Q: x(n)= a"u(k − n) for k>0

A: Introduction: The Z-transform translates a discrete-time signal, which is a sequence of real or…

Q: Evaluate the following: (Note: Final answer should be expressed as a decimal, not in terms of gamma…

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Q: 1. Find the adjacency matrix of each graph Matrix A= [?] 1/2 Matrix B= [? ] V/₂

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Q: In Exercises 15 to 22, (a) determine whether the graph is Eulerian. If it is, find an Euler circuit.…

A: A connected graph G is said to be Eulerian if the graph G has a Euler circuit. A graph has an Euler…

Q: Find the Laplace transform of 1. f(t) = [1 − u₂n(t)](2 sin t - sin 2t) - 2

A: Properties of the Laplace transform Laf(t)+bg(t)=aF(s)+bG(s)Lsinat=as2+a2Luc(t)sinat=e-css2+a2

Q: Use Laplace transform to solve the partial differential equation: d'y dy +xt where y(x,0) = 0,…

A: Solution :-

Q: M be a point on the circle circum ove the following: If n is even,

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Q: Use the graph as in but now the dots (vertices) are locations inthecity of Stockholm, and the dashed…

A: The graph given is as follows: Given that α=10a  and  β=10b where a=1  and  b=2.

Q: So whats the final answer, whats the final unknown value?

A: Solution

Q: Find the basic solution for the following (T.M) by using (least cost method), then find the optimal…

A: please comment if you need any clarification. If you find my answer useful please put thumbs…

Q: (a) fo dx 4 2 √3x-x²

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Q: Evaluate the following integrals: Find the area (set-up the definite integral only) of the given…

A: The solution is given below

Q: 1. If f(x) = 5x4 - 6x² + 4x2 find f'(x) and f'(2).

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Q: Prove that the sum of the three variables of the sum exponent f(x) = Σe is strictly convex. For this…

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Q: False Position Method and Secant Method ( f(x) = 3x² - 2x - 4

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Q: TASK 2: Prove that if G is a group and a, b = G, then (1) o(a¹ba) = o(b) o(ab) = o(ba)

A: These two results follow by proving G is abelian. We present the detailed solution in the next step.…

Q: Find the Laplace transform of 1. f(t) = [1u₂n(t)](2 sint - sin 2t) 2

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Q: + 2 3 X 6. Sketch the graph of one function f(x) that has all of the following properties: to dary…

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Q: situation. and tell whether it is application on logarithmic function, inverse trigonometric…

A: As the policy of bartleby the provisions is to solve only one question at a time