4 Find the eigenvalues of A, given that A = -6 0 ,02= -2 and 3 = and its eigenvectors are v1 = The corresponding eigenvalues are A1 = 0 4 3 -3 0 6 -5 , A2= and 12 =

Q: 8. Let (X, d) be a metric space, and A, B are subset of X, then (i) Fr(A) = Ā♂ (A) = A - int A (ii)…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: (4,5,0), (0,2,1), 5. Find the area of the points (4,3,0), (0,2,1), (2,0,5). 6 a1 1 11 b-[-1 1 11…

A:

Q: Let I'be the volume of the parallelopiped formed by t ã= a‚Î + a₂j+ak

A:

Q: 3. The value of a car is $400 000 now. Its value depreciates at a constant rate of 10% per year.…

A: Given:   The value of a car is $400 000 now. Its value depreciates at a constant rate of 10% per…

Q: Q3) Find the minimum of the Brown's badly scaled function using Powell's method. f(x) = (x₁ - 106)²…

A: We will use the basic knowledge of partial derivatives and differential calculus to answer this…

Q: 3. Calculate the polarizability a(wo), the scattering cross-section scatter (wo) and the absorption…

A:

Q: Solve the following system using the Newton-Raphson method for one :iteration, given that…

A: Solution

Q: (21) Let y be a function of x. Find y'(x). Leave your answers unsimplified. (a) y = arcsin (arctan…

A:

Q: t(0-28 m/s) t(400m) Images Candidate Car model (s) (s) (s) 1 1994 Ford SVT Boss Mustang 10.0L…

A: Note : As per our policy, we are allowed to answer only first part of question kindly post remaining…

Q: 5. Factor completely. P(x) = 2x³ + x² - 13x + 6 if (x + 3) is a factor. 6. Find the value of K, so…

A: Solution:-

Q: Prove that Fourier cosine transform of f(x) = cos(x), 0<x<3 is: 1/27 (³ sin 3(p-1), sin 3(p+1) p-1 +…

A: Introduction: A Fourier remodel (FT) is a mathematical remodel that decomposes features relying on…

Q: II. Assign the given vehicle trips (veh/hr) using incremental method (n = 3). 35 D) E 15 14 20 16 21…

A:

Q: Find the Fourier Transform of Seizt -1<t<1 f(t) = = 0 elsewhere

A:

Q: (a) By making appropriate use of Jordan's lemma, find the Fourier transform of T³ f(x) = (x² + 1)²*

A:

Q: Using legendre Polynomials, Find a quadratic last squares approximation to f(x) = cosh (X)

A: Using Legendre polynomials, We have to find a quadratic least-squares approximation f(x) = cosh(x).

Q: (32) Find the derivative: d dx (J cos(x) √1-t²dt

A:

Q: Q2/ Use Partial fraction dx. x(x²+ 1)² to evaluate

A:

Q: 26) Let f(x)=x²e-². For what value(s) of x does f(x) have a horizontal tangent? (a) Find the linear…

A:

Q: Consider the four statements (a) 3r ER Vy ER (b) Vr ER By R (c) VER Vy ER (d) 3r ER Vy ER 1. Are the…

A:

Q: 4y Use Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of…

A:

Q: Prove that if the complex number z is a root of polynomial f(x) with real co-ffiecents , then z bar…

A: Solution

Q: Two players, A and B, are playing an asymmetrical game. There are n points on the game board. Each…

A: We will take two cases to solve this problem

Q: -1 BBBB 7 -1 ind the coordinate vector of x = -5 with respect to the basis B = 0 for R³.

A: Solution

Q: If matrix B is obtained by multiplying matrix A one row or one column by a constant, then the…

A: As per yhe guidelines we are supposed to solve the first questions only. kindly post another…

Q: Consider the ordered bases B = ((5,-9), (-1,2)) and C = ((3, 1), (-4, 3)) for the vector space R².…

A: Note: According to our guidelines we can answer only first three subparts

Q: 24. (a) Verify that 4xy if 0≤x≤ 1, 0 ≤ y ≤ 1 f(x, y) Lo otherwise is a joint density function. (b)…

A:

Q: (20) Evaluate the integral: ²1+√√/x dx.

A:

Q: Persons and Consumption. Calculate the coefficient of correlation between the number of workers (x)…

A: Given: The data values Year 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 x 368 384 385 361…

Q: (32) Find the derivative: cos(x) de (1.060 V₁ - Pdt). 1 dx

A:

Q: L [3²+ 3s 5² +45+13 २ ·]

A:

Q: (27) Evaluate the integral: 1 (5t+4)2.7 dt

A:

Q: (22) Find the derivative of f(z) = z+1 Leave your answer unsimplified.

A: Solution:-

Q: 4: prove that Let R be a commutative ring with identity and I be a maximal ideal of R. Then the…

A:

Q: For the F(x) function shown in the figure, find P(0≤x≤0.5) F(x) 1 1 2 O 0.4999 O 0.5000 O 0.5999 O…

A: Solution

Q: Given the following linear system equation: y+x-4=0 6z + 8y +9= 3x 4y40 = 6z + 2x Using Cramer's…

A:

Q: 10 5-2 sin 8 a. find the eccentricity and identify the type of conic; b. write an equation of the…

A: Note:- Standard form of conic :- r  = ep 1-e sinθ  then conic is 1. If e &lt;1 then Ellipse. 2. If e…

Q: الموضوع : theorem. Let fixy applied between two tofotofi cat spaces (XTx) and (Y, Tj), then the…

A:

Q: 7. Find the value of K, so that (x + 4) is a factor of P(x) = 2x³ + x² - kx + 20. 8. Find the value…

A:

Q: I Given the boundary of the surface of a cylinder 0 < p ≤ 3, 37375052131, 1525 1≤z≤2, determine the…

A: Given the boundary of surface of a cylinder                 0≤ρ≤3              π3≤ϕ≤π2…

Q: If matrix B is obtained by multiplying matrix A one row or one column by a constant, then the…

A: Solution:-

Q: Prove or disprove any of the following ny abelain group is simple. The union of two cyclic groups is…

A:

Q: Q2. At a price of $7.00 per box of apples, the supply is 320,000 boxes and the demand is 200,000…

A: To determine the price-supply equation.

Q: State and prove the first isomorphism theorem.

A: As per the guidelines we are supposed to solve the first questions only.kindly post another…

Q: Let U be a unitary matrix. Prove that (a) U is also a unitary matrix.

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

Q: The matrix has one real eigenvalue. Find this eigenvalue and a basis of the eigenspace. The…

A:

Q: Directions: Assuming that the angles are in standard position. Determine whether the given pairs of…

A: First thing needed to understand what does mean by coterminal angle? In simple words a given pairs…

Q: Let R be the region below bounded by the parabola y = 4 - x² and the lines 3x - 2y + 3 = 0 and y =…

A:

Q: Suppose that the trace of a 2 x 2 matrix A is tr(A) = -5 and the determinant is det(A) = 4. Find the…

A:

Q: Find the distance of the plane passing through the points ā, b, c from the origin.

A: First we derive the vector equation of plane.    The perpendicular distance is the projection on the…

Q: Given f(x) = 3x³+6x+13 and g(x)=2x-5. Evaluate (f+g) x. Given f(x) = 2x+1 and g(x)=x²-5x+6. Evaluate…

A: