A system that is initially at rest has response x(t) to an input u(t) and is described by the differential equation x² + 4x + 7x = 3u +2u Use Laplace transforms to determine the response of the system and comment about the stability of the system.

Q: Name sets with cardinality (a) 365, (b) 12, (c) 7, (d) 11.5, (e) 0, (f) 1024.  

A: Given: The cardinalities, (a) 365, (b) 12, (c) 7, (d) 11.5, (e) 0, (f) 1024. To name: The sets with…

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Q: 4. Find an equation involving g, h, k that makes the augmented matrix 1 0 -4 7 9 3 -5 h 5 -9 k -2…

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Q: CCSX-D erval [1.5, 2] DA

A: The given equation is 0.5ex-e-x+5 cos x =2 Consider the function fx=0.5ex-e-x+5 cos x -2

Q: Define matrix notation and terminology?

A: Matrix notation and terminology.

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A: Answer is 'False'.

Q: If F = (x + y, x² - y) a= y = √, calculate fr F.Tds by using computing the line integral directly.)

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Q: 7-3y 2 12y-3y² S²6² dxdy

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

Q: = 1 Find the minimum value of f(x, y, z) = 3x − y − 3z subject to x² + 2z² - - and x + y -z = 0.

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Q: Q6: Find the outward flux of the vector field F=(x²y+e'sin(y))i+ (x²+e'cos (y)) j through the right…

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Q: In Problems 1-6, find a vector equation for the line through the given points. 1. (1, 2, 1), (3, 5,…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: 1. Is (, (-2) ³) = (1, −8) ? 2. Let S = {2, 4, 6} and T = {1,3,5}. Use the set-roster notation to…

A: What is Ordered Pair: Ordered pairs are sometimes known as 2-tuples, or sequences of length 2 (or,…

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Q: 5. Find the general solution of the differential equation. 21xy' + y = 462X

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Q: Problem 8: By integrating an appropriate branch of semicircle, show that S (In x)² x² + 1 dx 773…

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Q: orthogonal to the vector y = (2)? You may want to go through the proof of When is the vector x =…

A: Here,        x = (3, 4)T       y = (-4, y2)T x and y is orthogonal if xTy = 0.

Q: A model giving the purchasing power of the 2001 constant dollar is d(t) = −0.023t + 1.00 dollars…

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Q: 19. x 3x - 18 lim X-2 x-2

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Q: In the following problem apply the eigenvalue method to find a general solution of the given system.…

A: The given system is x1'=5x1-9x2x2'=2x1-x2 So, the matrix is A=5-92-1 We find the eigenvalues.…

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A: 1)

Q: The intersection graph of a collection of sets A1, A2, ..., A, is the graph that has a vertex for…

A: Part (A):- Given information is A1 = 0, 2,  4, 6, 8,   A2 = 0, 1, 2,  3, 4A3 = 1, 3, 5, 7, 9,  A4 =…

Q: 2.13 Using the Gram-Schmidt orthonormalization associated with the following sets of vectors: (a) e₁…

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Q: (10) Write each of the following sets in the form of listing its elements (i.e. in the form {a,b,c}…

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Q: Retrieve Faraday's law in differential form from E = -VV ot

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Q: 6. (a) Verify that the functions x1 = e²t and x2 = e-2t are solutions of the that x3 = x₁ + x2 and…

A: Aa per our guidelines, we are supposed to solve only first subpart. Kindly repost other subpart as a…

Q: Round off to two decimal place The table Time (xi) Balance (y₁ = F(xx₂)) O e 1 40.00 3200 3 10 625…

A: Hi! Thank you for your question.As per guidelines we can solve one question at a time in case of…

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Q: DEFINE COMPLEX EIGENVALUES WITH NEGATIVE REAL PART?

A: In this question,  we have to define the complex Eigen values with negative real part.

Q: Does there exists a graph with the following degrees; (a) 0, 2, 2, 2, 4, 4, 6; (b) 2, 2, 3, 3,…

A: Given: the given degrees are (a) 0,2,2,2,4,4,6; (b) 2,2,3,3,4,4,5 To check : Does there exists a…

Q: In the following implicit solution, use the initial condition y(1) = −3 to find C y³ - 5y = 4x - x²…

A: Introduction: To identify a specific solution, we typically need initial circumstances or additional…

Q: examination roofs. At a time ercentage of those 7 by the formula le to recall at n is le to recall…

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Q: V₁= 2³-37² +27= 0 + 1 (1-1) (1-2) = 0 1₁=0, A2=1, d3 = 2 X 2X X Y₁(x) = C₁ + c₂e² +₂²² +U₁=1, 4₂-e…

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