Find the value of k so that 4 is an eigenvalue of the matrix A - If your answer is a fraction, enter it as a fraction. k = 520 0 7 -4 -1 k 5

Q: Find the average value of f(x,y) = x² + y² over the region R: rectangle with vertices (0,0), (2,2)…

A: Introduction:   A function f(x,y) average value as defined by favg=1A(R)∬Rf(x,y)dA   where A(R)…

Q: 19. z?e-l/? (a) |z| = 5 %3D

A:

Q: Sketch the graphs of the following cylinders. Properly identify a cross-section on the appropriate…

A: Given: Let's consider the given equation and graph the following cylinders. y=2x-4

Q: 1 Use the factorization A = PDP' to compute A^, wherek represents an arbitrary integer. а 11(b - а)…

A:

Q: nsider the curve C with parametric equations Jæ(t) = t3 – 3t + 1 ly(t) = t(t + 1) %3D ined for t e…

A: In this question, the concept of the derivative is applied. Derivative A derivative can be used to…

Q: Find the principal 5th root of 50 (cos150° +i sin150°).

A:

Q: 13) Find the future value of a CD paying a 3.65% APR compounded contInuously if you invest $2500 for…

A:

Q: 17. If P'(t) is the rate a deer population grows per year, write a sentence explaining what S P'(t)…

A: 17. ∫06p'(t)dt =p(6)-p(0) this implies ∫06p'(t)dt represents the total increment in the population…

Q: 1 -dz, C is the circle |z1|= 2 2³ (z-2) C

A:

Q: Three players (one divider and two choosers) are going to divide a cake fairly using the lone…

A: If it is possible to give each party a piece they declared then do so, and divider gets the…

Q: The trace of a square n × n matrix A = (ażj) is the sum a11 + ª22 + + ann of the entries on its main…

A:

Q: The exact length of the parametric curve a = t – t, y=t², 0 < t<1 is Previous Page Next Page Page 35…

A:

Q: 7) Find the value of a retirement savings account with a monthly contribution of $50 (contributions…

A: Monthly investment  = $50 Interest rate = 4.8% per year i.e. 0.4% per month

Q: Let A = PDP - 1 and P and D as shown below. Compute A*. 1 2 2 0 P = D = 2 3 0 3 ... A4 = %3D…

A:

Q: 57. Let f(x) = lim (a) cos (tan 1) COS X n→∞ 1+ (tan then the value of f f(x) dx is equal to: 0 tan…

A: The given question is related with integration. Given that ,                 fx = limn→∞ cos x1 +…

Q: x + 3y = 2 2х + у %3-1 X - 3x - y = 3

A:

Q: Use right triangle ABC in the figure below and the Pythagorean theorem to find the length of the…

A: Here we use Pythagorean theorem to find this.

Q: Decide if the following n can be expressed as the sum of squares. If it is possible then provide…

A: This problem is based on the sum of two squares theorem. We first state the theorem and then give an…

Q: Evaluate (1 + i)(1 -).

A: Power of a complex number

Q: Use the second Taylor polynomial P₂ (x) for f(x) = x² + cos(x) about xo = x² + cos(x) about x = 0…

A: Given function is fx=x2+cosx. We have to evaluate ∫01fxdx by using the second Taylor polynomial P2x…

Q: 9. The graph of the velocity function of a particle is given, where the horizontal axis is measured…

A: Given- The graph of the velocity function of a particle is given, where the horizontal axis is…

Q: The matrix has two distinct eigenvalues with ₁ <d₂. The smaller eigenvalue ₁ = The larger eigenvalue…

A:

Q: Use Stokes' Theorem to evaluate ſc F. dr. C is oriented counterclockwise as viewed from above. F(x,…

A:

Q: Consider the curve C with parametric equations Jx(t) = t³ – 3t +1 y(t) = t(t +1) %3D

A: Introduction: A parametric curve is a curve that is represented by introducing another parameter t.…

Q: Numerical solution of Ordinary differential equations Consider the following initial value problem…

A:

Q: Let: U = {a, b, c, d, e, f, g, h, i} A = {a, c, d, f, g, h} B = {b, c, d, e, i} Find (A U B)'.…

A:

Q: 3. Draw the adjacency matrix for the graph below: | 10 4 40 20 8 20 2 10 2 4 10 12 10 6 9. 4. 3.

A:

Q: 20 x=0 3. Define f: R→ R by f(x) = and g: R → R by g(x) = -{ 1² r <0 0 r20 (a) Compute (fg)(-1) (b)…

A:

Q: Find the value of k for which the vectors and 4 -4 are orthogonal. k =

A:

Q: Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate…

A:

Q: Solve J²u = Ət² u (0, t) = u (x, 0) = J²u 4- 2 მ2 u (π, t) = 0 sin (2x), 0 0 (x, 0) = 0 Ju Ət

A:

Q: y = cos(x) fonksiyonunun birinci mertebeden türevini x = noktasında h = 1/2 olmakla 3-nokta aranokta…

A: Given function is y=cosx. We have to evaluate the first derivative of y=cosx at x=π4 using a value…

Q: 2. Solve the initial-boundary value problem du 3 au 0 0 10 Əx? ди (0, t) ди (4т, t) — 0 t >0 0, 0 <…

A:

Q: Let Y(s) be the Laplace transform of y(t). Find the equation satisfied by Y(s) when solving the…

A: Introduction: The Laplace transformation is a very important tool in solving an initial value…

Q: slope of IJ = slope of JK= slope of KL =

A:

Q: Let C1 be the circle r = cos 0 and C2 be the petal of the rose r = V3 cos(20) that is to the right…

A:

Q: T(x1, X2, x3) = (x1 – x2, x2 – X3, X3 - x1). ind a vector w ER' that is not in the image of T. 3 =

A: Given linear transformation is T(x1, x2, x3) = (x1-x2, x2-x3, x3-x1)

Q: Matrix A is factored in the form PDP . Use the Diagonalization Theorem to find the eigenvalues of A…

A:

Q: Solve the following L... problem quaphically. IN CUI CIRCHEN maximize z = 4x₁ +5x₂ 4x₁ +5X₂es…

A: In this question, the concept of linear programming is applied. Linear Programming An approach to…

Q: hat polynomial x^2 + y^2 + y^2 − xy − yz − zx is irred

A:

Q: Find the taylor series and interval convergence.   7/3-x ln(1-5x)

A:

Q: For the matrix, list the real eigenvalues, repeated according to their multiplicities. 4 0 0 0 3 4 0…

A:

Q: Use the gradient to find the directional derivative of the function at P in the direction of Q.…

A:

Q: Solve the following PDE: Ut = Uzz + Uz -∞ 0 subject to ze initial condition u(x,0) = f(x) Show all…

A: As per the question we have to solve the following partial differential equation : ut = uxx + ux…

Q: Find the characteristic polynomial and the eigenvalues of the matrix. - 5 2 1 ·1

A:

Q: Find the absolute and relative errors(round to 7 decimal places) of the approximation 125.67 to the…

A:

Q: 3. Draw the adjacency matrix for the graph below: 10 7 6. 4 40 1 20 2 20 2 8 10 4 10 2 12 10 3 9. Co

A: To find the adjacency matrix of the given graph .

Q: Use algebraic method to solve games matrix 1-5 1. | 1.4 1.9 1.5 1.5 1.4 1.9 1.5 1-4 1.4 1.-2/ 0.1…

A:

Q: 4. Show the function f(2)=21m(z) is differentiable or not differentiable at any points.

A:

Q: О 1 A = -4 7 ix? -2 5 -8 3 -6 9

A: Solution