Let A ∈ (R) be given If A is nonsingular, prove that adj(A) is nonsingular and adj(A)^-1 = (A^-1)

Q: 40.If Tree A is rooted at node E, what will be the height of node C? Tree A A. 3 C. 1 B. 2 D. 0

A: 3

Q: What is the y-coordinate of the centroid of the plane region bounded by y = x^3 and y=x^2? 2/5 3/5…

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Q: 1. In solving the beam equation, you determined that the general solution is Nếu đi y 9₁x³ + tốt…

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A: (A) Outer radius=R(x) =3and inner radius=r(x) = 3-ln(x)Volume of the elementry washer,dV…

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Q: Find the solution of x = X₂ JED -6 where u(t) = 2 and x(0) = [1 -1]. 11 0 JUCE + u(t) (10)

A: The problem is solved using the concept of eigen value and eigen vector.

Q: (2,4) (2, 2) (--2,0) Given a region R enclosed by the curves: (x-2)² y = 1 + sin( ¹ (77²) ₁ y = 4-₁…

A: This problem is an application of definite integral and let us set up the definite integrals for…

Q: 4. Use the method of undetermined coefficients to find a general solution of the equation y" - 2y" -…

A: Given that,     y''' -2y''-4y'+8y=6xe2x Let y=Aemx(≠0) is a trial solution of the homogeneous part…

Q: section method to

A: Given,         f(x)=x-cos(x);     0, π

Q: Consider the following linear programming problem: Maximize/minimize z = 3x + 5y subject to: -6x +…

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Q: 7. According to Pascal's triangle, what single in the form of this equivalent to expression t15,6 +…

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Q: What is the volume in cubic units of the solid formed when the region bounded by y = x^3, y-axis,…

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Q: Find the Taylor or Maclaurin series of the given function with the given point as center and…

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Q: (c) (i) Give a necessary and sufficient condition for the differential equation M(x, y)dx + N(x,…

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Q: Let V be a unitary space and a, b of V unit vectors for which (a, b): 1/4 (1 + i); Then the norm of…

A: Given : V is a unitary space and a, b∈V are unit vectors for which        a, b=141+i To find : a-2b…

Q: 17. Given the following degree of the vertices of an undirected graph H = (4,1,5,3,4,3), we can…

A: For the given degree of the vertex of an undirected graph which of the following is correct :-

Q: 3. Prove that if G is an open set dense in the metric space (S, d) then SG is nowhere dense in S.

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Q: Prove using proof of contradiction. Include explanation.   If n is an even integer, then 7n + 4 is…

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Q: Date 8. a) Christine just moved into a 2-bedroom apartment. She pays $915 per month in rent. The…

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Q: Obtain the power series solution of the differential equation y"-(1+r)y=0

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Q: 2. The position of a particle moving horizontally is given by s(t) = t³ − 6t² + 9t + 4, where s is…

A: a) The time at which the particle changes its directions is the time for which s'(t)=0. Given that…

Q: Evaluate J by means of trapezoidal rule using n = 10 and n =20: 1 = [*exp(-x²) dx Evaluate J by…

A: We need to find the value of J=∫01exp(-x2) dx using the trapezoidal rule with n=20 and n=10

Q: Use Laplace transform technique to solve the initial value problem y' + By = g(t), y(0) = C 0 0 ≤ t…

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Q: A = -2 - D = 3 0 B 2 " 2 13 3 E = SHE 5 > 4 5 -2 -4 31 -2 3 2 2 5 0 -4 -4 5 3 -4 -4 0 -3 2 3 - 7.…

A: Let us find the inverse of the matrix E and and answer the questions from 7 to 10 regarding its…

Q: Writing x₁ = y and x₂ = dy/dr express the differential equation d²y + 2 d x+y=0 in the vector-matrix…

A: The problem is solved using the concept of eigenvalue and eigenvector.

Q: 14.Consider the group (A, *) where * is defined by the table below * A B C D AB A D с BA B C DC D C…

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Q: 1. Evaluate the following integral: (1-e-²x) dx (a) analytically;

A: Note:- For this problem all the sub-parts  are different as methods are different. So, we can solve…

Q: 1. Let B = {. What is A. B. ( } and the operation * is defined by the table below. 1 DAⓇ C. D.…

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Q: √3-i. i. Express w in polar form. ii. Find all the roots of 25 = √√3-i in polar form. Show all the…

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Q: (2) Let x, y and z be real numbers. Show that the distance between a real number x and z is the sum…

A: Suppose that y lie between the points x and z, say, y = tx + (1 – t)z forsome t ∈ [0,1]. This is to…

Q: 11. Which of the following is a subsemigroup of (Q,*) where a*b = ab/5? A. (Z, *) C. (Q+, *) B. (Z+,…

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Q: ources amongst thems

A: Nash equilibrium: It refers to a theory that helps in deciding the game which helps the players to…

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Q: Draw a direction field and plot (or sketch) several solutions of the differential equation y' = −y(6…

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

Q: A +++++ 7 6 5 4 3 -2 The diagram shows the shaded region bounded by the curves y = x² + 2, y = 4 -…

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Q: B A D E For Items 25-30, choose what best describes the sequence of vertices based on the graph…

A: BAFEGCEDCBFGBA is a walk from B to A. Here vertex E is repeated not a path and so not a cycle. The…

Q: Using Laplace transforms, solve the initial value problem y" - 2y + 10y = 0, y(0) = -3, y'(0) = 3.

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Q: The distance x, measured in metres, of a downhill skier from a fixed point is measured at intervals…

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Q: Use forward, backward and central difference to estimate the first derivative of f(x) = In(x) at x =…

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Q: 9)THE ELEPHANTS Recently, a study on the African and Asian elephant populations was published. The…

A: Formulate the equations for fx, g(x). Equate these equations with each other and solve for x to…

Q: Consider this set of vertices: EBDFEG. Choose what best describes the sequence of vertices based on…

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Q: y-coordinate of the centroid of the plane region bounded by 22 What is the y = 2x + 1, x + y = 7,…

A: We will draw region bounded and then use integral to find area and moment to calculate centroid

Q: s A and D, if node D is the de A is lower than that of node

A: The correct solution is given below in the next steps with explanations.

Q: .This object is made with six identical cubes. Each cube edge is 5 inches long. What is the surface…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Using the shell method, what will be the equation of the volume of the solid formed when the region…

A: Here we use basic shell method.

Q: 8. The specific solution of a state space equation is given below. Express the solution Q terms of…

A: Given: The specific solution of a state space equation, Qi=0.3jejt1j-0.3je-jt1-j   To express: The…

Q: 5 -2 a.) [² 1 0 1 b.) [5 2²2 31 -5 5 8 040 c.) [0 204] 4020 -2 0 -4 1 0 -4 1 11 2 20

A: